List of Publications:


(More than 3500 citations, excluding myself and co-authors, h-index: 34, g-index: 60, Source: Google Scholar, Research Gate Score: 37)

In Refereed Journals

1. T. Bountis, R. Helleman, ''Exact Statistical Mechanics of Some Classical 1D Systems'', J. Math. Phys. 19 (2), 477 (1978).

2. R. Helleman, T. Bountis,''Periodic Solutions of Arbitrary Period, Variational Methods'', Lectures Notes in Physics 93, 353 (1978).

3. T. Bountis, R. Helleman, ''On the Stability of Periodic Orbits of Two-Dimensional Mappings'', J. Math. Phys. 22 (9), 1867 (1981).

4. T. Bountis, ''Period-Doubling Bifurcations and Universality in Conservative Systems'', Physica 3D , 577 (1981).

5. T. Bountis, H. Segur, F. Vivaldi, ''Integrable Hamiltonian Systems and the Painleve Property'', Phys. Rev. A25 , 1257 (1982).

6. N. Budinsky, T. Bountis, ''Stability of Nonlinear Modes and Chaotic Properties of FPU Lattices'', Physica 8D , 445 (1983).

7. T. Bountis, M. Bier, J. Hijmans, ''On the Integrability of Some Generalized Lotka-Volterra Systems'', Physics Letters 97A (1,2) 11 (1983).

8. T. Bountis, ''Note on the Painleve Property of Anharmonic Systems with an External Periodic Field'', Physics Letters 97A (3), 85 (1983).

9. T. Bountis, N. Budinsky, C.R. Eminhizer, ''Resonance Criteria for Minimizing Blow-Up Effects in Colliding Beams'', Nucl. Instr. Meth. 227, 205 (1984).

10. A. Ramani, B. Grammaticos, T. Bountis, ''Integrability and the Painleve Property of Low-Dimensional Systems'', J. Math. Phys. 25(4), 878 (1984).

11. T. Bountis, B. Grammaticos, A. Ramani, ''On the Complete and Partial Integrability of Non-Hamiltonian Dynamical Systems'', Physica 128A , 268, (1984).

12. M. Bier, T. Bountis, ''Remerging Feigenbaum Trees in Dynamical Systems'', Phys. Letters 104A (5), 239 (1984).

13. G. Stephanedes, T. Bountis, ''Dynamic Transit Scheduling Under Efficiency Constraints'', Transp. Res. 19B(2), 95 (1985).

14. T. Bountis, V. Papageorgiou, P. Winternitz, ''On the Integrability of Nonlinear ODE's with Superposition Principles'', J. Math. Phys. 27(5), 1215 (1986).

15. T. Bountis, ''Analytical and Numerical Studies of 4-D Mapping Models of Colliding Beams'', J. of Part. and Accel. 19, 1981 (1986).

16. T. Bountis, V. Papageorgiou, M. Bier, ''On the Singularity Analysis of Intersecting Separatrices in Near-Integrable Dynamical Systems'', Physica 24D , 292 (1986).

17. T. Bountis, G.M. Mahmoud, ''Synchronized Periodic Orbits of Beam-Beam Interaction Models in One and Two Space Dimensions'', Journal of Part. and Accel., Vol. 22, pp. 129-147 (1987).

18. G.M. Mahmoud, T. Bountis, ''Synchronized Periodic Solutions of a Class of Periodically Driven Nonlinear Oscillators'', J. of Appl. Mech., vol. 55 , 721 (1988).

19. T. Bountis, G. Tsarouhas, R. Herman, ''Normal Form Solutions of Dynamical Systems in the Basin of Attraction of their Fixed Points'', Physica 33D , 34 (1988).

20. T. Bountis, G. Tsarouhas, ''On the Application of Normal Forms Near Attracting Fixed Points of Dynamical Systems'', Physica 133A , 160 (1988).

21. V. Papageorgiou, L. Glasser, T. Bountis, ''Mel'nikov's Function for 2-Dimensional Maps'', SIAM J. of Appl. Math. 49(3), 692 (1989).

22. A. Ramani, B. Grammaticos, T. Bountis, ''The Painleve Property and Singularity Analysis of Integrable and Non-Integrable Systems'', Physics Reports, 180 (3), 159 (1989).

23. G. Sohos, C. Polymilis, T. Bountis, ''Is the Hamiltonian H=1/2(p_x^2 +p_y^2 +x^2y^2) Completely Chaotic?'', Nuovo Cim. 104B (3), 339 (1989).

24. M. Vrahatis, T. Bountis, ''A Convergence-Improving Method for Computing Periodic Orbits of Dynamical Systems Near Bifurcation Points'', J. Comp. Phys. 88 (1), 1 (1990).

25. L. Drossos, J. Nicolis, T. Bountis, ''Chaos in Nonlinear Paradoxical Games'', Nuovo Cim. 12D(2), 155 (1990).

26. T. Bountis, St. Pnevmatikos, ''Josephson Junction Dynamics in the Presence of Inhomogeneities'', Phys. Lett. 143A (4,5), 221 (1990).

27. L. Drossos, T. Bountis, ''Period-Doubling Bifurcations in Measure-Preserving Flows'', Phys. Lett. 143A (8), 379 (1990).

28. T. Bountis, St. Pnevmatikos, St. Protogerakis, G. Sohos, ''Fluxon Trapping by Inhomogeneities in Long Josephson Junctions'', Lecture Notes in Physics 353 (Springer, 1990).

29. T. Grapsa, M. Vrahatis, T. Bountis, ''Solving Systems of Nonlinear Equations Using a Rotating Hyperplane in Rn+1'', Int. J. Comp. Math. 35, 133 (1990).

30. T. Bountis, L. Drossos, I.C. Percival, ''On Nonintegrable Systems With Square Root Singularities in Complex Time'', Phys. Lett 159A , 1 (1991).

31. M. Ding, T. Bountis, E. Ott, ''Algebraic Escape in Higher Dimensional Hamiltonian Systems'', Phys. Lett. 151A (8), 395 (1991).

32. T. Bountis, L. Drossos, I.C. Percival, ''Nonintegrable Systems with Algebraic Singularities in Complex Time'', J. Phys. 24A, 3217 (1991).

33. T. Bountis, ''What Can Complex Time Tell Us About Real Time Dynamics?'', Int. J. of Bifurcation \& Chaos, 2 (2), 217 (1992).

34. G. Papaioannou, T. Bountis, G. Pavlos and L. Karakatsanis, ''Determinism and Noise in Surface Temperature Time Series'', in Ann. Geophys. 11, 947 (1993).

35. T. Bountis, L. Drossos, M. Lakshmanan and S. Parthasarathy, ''On the Non-Integrability of a Family of DVP Oscillators'', J. Phys. A: Math. Gen. 26, 6927 (1993).

36. St. Komineas, M.N.Vrahatis and T. Bountis, ''2-D-Universality of Period-Doubling Bifurcations in 3-D Conservative, Reversible Mappings'', Physica A211, 218-233 (1994).

37. Th. Pavlopoulos and T. Bountis, ''Impurity Effects in a Double Sine-Gordon Equation'', Phys. Lett. 192A(2), 215-221(1994).

38. T. Bountis and M. Kollmann, ''Diffusion Rates in a 4-D Mapping Model of Accelerator Dynamics'', Physica 71D 122-131 (1994).

39. T. Skiniotis and T. Bountis, ''Soliton Propagation in a System of Two Inductively Coupled Long Josephson Junctions'', Solitons, Fractals and Chaos, 5 (12), 2571-2584 (1995).

40. A. Bezerianos, T. Bountis, G. Papaioannou and P. Polydoropoulos,''Nonlinear Time Series Analysis of Electrocardiograms'', Chaos 5 (1), 95-101 (1995).

41. T. Bountis,''Investigating Non-Integrability and Chaos in Complex Time'', Physica D86 , 256-267 (1995).

42. T. Bountis, A. Goriely and M. Kollmann, ''A Mel' nikov Vector for N-Dimensional Mappings'', Phys. Lett. 206A, 38-48 (1995).

43. G. Mahmoud, T. Bountis and G. Turchetti, ''Synchronization in Parametrically Driven Hamiltonian Systems'', Nuovo Cimento, 110B (11), 1311-1322 (1995).

44. A. S. Fokas and T. Bountis, ''Order and the Ubiquitous Occurrence of Chaos'', Physica A228 (1996) , 236-244.

45. M. N. Vrahatis, T. Bountis and M. Kollmann, ''Periodic Orbits and Invariant Surfaces in 4-D Nonlinear Mappings'', Int. J. of Bifurc. Chaos 6 (8), pp. 1425-1437 (1996).

46. L. Drossos, O. Ragos, M. Vrahatis and T. Bountis, ''A New Method for Computing Long Periodic Orbits of Dynamical Systems'', Phys. Rev. E, 53 (1) (1996).

47. T. Bountis and V.M. Rothos, ''On the Analytic Structure of 2 Degree of Freedom Hamiltonian Systems Around an Elliptic Fixed Point'', Nonlinearity 9, 877-886 (1996).

48. G.P. Kremmydas, A.V. Holden, M.J. Poole, A. Bezerianos, and T. Bountis, ''Representation of Sinoatrial Node Dynamics by Circle Maps'', Intern. J. of Bifurc. and Chaos, vol. 6 (10), pp. 1799-1805 (1996).

49. T.C. Bountis and L. Drossos, ''Evidence of Natural Boundary and Nonintegrability of the Mixmaster Universe Model'', Journal of Nonlinear Science 7 (1) (1997) 1-11.

50. S. Papadimitriou, A. Bezerianos and T. Bountis, '' Secure Communication with Chaotic Systems of Difference Equations'', IEEE Trans. on Computers, 46 (1), pp. 27-38 (1997).

51. V. M. Rothos and T. Bountis, '' The Second Order Mel'nikov Vector'', in ''Regular and Chaotic Dynamics'' 1 (2), (1997).

52. V. M. Rothos and T. Bountis, ''Melnikov Analysis of Phase Space Transport in N-d.o.f Hamiltonian Systems'', Journal of Nonlinear Analysis, 30 (3), (1997).

53. M. N. Vrahatis, H. Isliker and T. Bountis, "Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics", Int. J. of Bifurc. and Chaos 7(12), 2707-2722 (1997).

54. J. Laugesen, N. Carlsson, E. Mosekilde and T. Bountis, ''Anomalous Statistics for Type-III Intermittency'', Open Systems and Information Dynamics, 4 , 393--405, (1997).

55. V. M. Rothos and T. Bountis, ''The Dynamics of Coupled Perturbed Discretized NLS Equations'', Physica 113 D, p. 326 (1998).

56. M. Kollmann and T. Bountis , '' A Melnikov Approach to Soliton-like Solutions of Systems of Discretized Nonlinear Schrödinger Equations'', Physica 113 D , p. 397 (1998).

57. V. Marinakis, S. Abenda and T. Bountis," Finitely and Infinitely Sheeted Solutions in Some Classes of Nonlinear ODEs", Regular and Chaotic Dynamics, Vol. 3 (4) (1998).

58. M. Kollmann, H.W. Capel and T. Bountis, "Breathers and Multi-Breathers in a Damped, Periodically Driven Discretized NLS Equation", Phys. Rev. E 60, 1195 (1998).

59. S. Papadimitriou, A. Bezerianos and T. Bountis, "Radial Basis Function Networks as Chaotic Generators for Secure Communication Systems", Int. J. Bifurc. Chaos 9 (1), 221-232 (1999).

60. V. Basios, T. Bountis and G. Nicolis, "Controlling the Onset of Homoclinic Chaos Due to Parametric Noise", Phys. Lett. A 251 , 250-258 (1999).

61. J. Laugesen, E. Mosekilde, T. Bountis and S. P. Kuznetsov, ''Type-II Intermittency in a Class of Two Coupled 1-D Maps'', Discr. Dyn. Nat. and Soc. 5, 133-245 (2000).

62. T. Bountis, C.F. Starmer and A. Bezerianos, "Solitary Pulses and Wave Front Formation in an Excitable Medium", Progr. Theor. Phys. Suppl. 139 , 12-33 (2000).

63. V. Marinakis, T. Bountis, "Special Solutions of a New Class of Water Wave Equations", Comm. Appl. Anal. 4 (3), 433-445 (2000).

64. I. Kyprianidis, I. Stouboulos and T. Bountis," Antimonotonicity and Chaotic Dynamics in a 4th Order Electrical Circuit", Int. J. Bifurc. Chaos 10 (8), 1903-1915 (2000).

65. T. Bountis, H.W. Capel, M. Kollmann, J.C. Ross, J.M. Bergamin and J.P. van der Weele, "Multibreathers and Homoclinic Orbits in 1-Dimensional Lattices", Phys. Lett. 268A , 50-60 (2000).

66. N. Lambrakis, A.S. Andreou, P. Polydoropoulos, E. Georgopoulos, T. Bountis, ''Nonlinear Analysis and Forecasting of a Salt Water Karstic Spring'', Water Resources Research, 36 (4) (2000), 875-884.

67. G. M. Mahmoud, T. Bountis and S. Ahmed, ''Stability Analysis for Systems of Nonlinear Hill's Equations'', Physica 286A, 133-146(2000).

68. J. Bergamin, T. Bountis and C. Jung, "A Method for Locating Symmetric Homoclinic Orbits Using Symbolic Dynamics", J. Phys. A: Math. Gen., 33 , 8059-8070 (2000).

69. S. Papadimitriou, A. Bezerianos, T. Bountis and G. Pavlides, ''Secure Communication Protocols With Discrete Nonlinear Chaotic Maps'', J. Syst. Archit. 47, 61-72 (2001).

70. S. Papadimitriou, T. Bountis, S. Mavroudi and A. Bezerianos, "A Probabilistic Symmetric Encryption Scheme for Very Fast Secure Communication Based on Chaotic Systems of Difference Equations", Int. J. Bifurc. Chaos, 11 (12) 3107-3115 (2001).

71. J. S. Nicolis, T. Bountis and K. Togias, "The Dynamics of Self-Referential Paradoxical Games", Dynamical Systems, 16 (4), 319 - 332 (2001).

72. S. Abenda, V. Marinakis and T. Bountis, "On the Connection Between Hyperelliptic Separability and Painleve Integrability", J. Phys. A: Math. Gen., 34, 3521-3539 (2001).

73. J. Bergamin, T. Bountis and M. Vrahatis, "Homoclinic Orbits of Invertible Maps", Nonlinearity 15, 1603 – 1619 (2002).

74. T. Bountis, J. Bergamin and V. Basios, "Stabilization of Discrete Breathers Using Continuous Feedback Control", Phys. Lett. A295, 115 – 120 (2002).

75. E. Tzirtzilakis, M. Xenos, V. Marinakis and T. Bountis, ``Interactions and Stability of Solitary Waves in Shallow Water'', Chaos, Solitons and Fractals, 14, 87 - 95 (2002).

76. G. M. Mahmoud, T. Bountis and S. Ahmed, ''On the Stability Analysis of Strongly Nonlinear Coupled Hill's Equations'', Int. J. Diff. Eq. Appl. 4 (4), 437-465 (2002).

77. J. M. Bergamin, Sp. Kamvyssis and T. Bountis, "A Numerical Study of the Perturbed Semi classical Focusing Nonlinear Schroedinger Equation", Phys. Lett. A304, 85-94 (2002).

78. E. Tzirtzilakis, V. Marinakis, C. Apokis and T. Bountis, ``Soliton - Like Solutions of Higher Order Water Wave Equations of the KdV Type'', J. Math. Phys. 43 (12) (2002) 6151.

79. A. Leontitsis, J. Pagge and T. Bountis, "Large Noise Level Estimation", Int. J. Bifurc. Chaos 13 (8) (2003) 2309.

80. J.E. Skinner, E.D. Yankulova, G. Yannopoulos and T. Bountis, "Nonlinear Analysis of a Drosophila ECG Time Series", Dros. Inf. Serv. 85 (2003) 111.

81. Ch. Skokos, C. Antonopoulos, T. Bountis and M. N. Vrahatis, “How does the Smaller Alignment Index (SALI) Distinguish Order from Chaos?", Prog. Theor. Phys. Supp. 150 (2003) 439.

82. A. Leontitsis, T. Bountis and J. Pagge, “An Adaptive Way for Improving Noise Reduction Using Local Geometric Projection”, Chaos 14 (1), 106-110 (2004).

83. Ch. Skokos, C. Antonopoulos, T. Bountis and M. N. Vrahatis, “Detecting Order and Chaos in Hamiltonian Systems by the SALI Method", J. Phys. A: Math. Gen., 37, 6269-6284 (2004).

84. P. Panagopoulos, T. Bountis and C. Skokos, "Existence and Stability of Localized Oscillations in 1-D Lattices With Soft Spring and Hard Spring Potentials", ASME Transactions, Journal of Vibration and Acoustics, vol. 126, 520 – 527 (October 2004).

85. G. M. Mahmoud and T. Bountis, "The Dynamics of Complex Nonlinear Oscillators: A Review", Intern. J. of Bifurcation and Chaos, vol. 14 (11) Vol. 14, 3821-3846, (2004).

86. C. Efthymiopoulos, T. Bountis and A. Manos, “Explicit Construction of Integrals with Quasi-Monomial Terms from the Painleve Series”, Regular and Chaotic Dynamics, vol. 9, no. 3, p. 385 – 398 (2004).

87. C. Antonopoulos, T. Bountis and Ch. Skokos, “Chaotic Dynamics of N – Degree of Freedom Hamiltonian Systems”, Int. Journal Bifurc. Chaos 16 (6), 1777-1794, June 2006.

88. C. Antonopoulos and T. Bountis , “Stability of Simple Periodic Orbits and Chaos in an FPU Lattice”, Phys. Rev. E 73, 056206 (2006).

89. T. Bountis and Ch. Skokos, ‘Applications of the SALI Detection Method to Accelerator Mappings”, Nucl. Instr. Meth. Phys. Res. A 561, p. 173-179, 2006.

90. P. Maniadis and T. Bountis, ‘Quasiperiodic and Chaotic Breathers in a Parametrically Driven System Without Linear Dispersion”, Phys. Rev. E 73, 046211 (2006).

91. Kyprianidis, I. M., Bogiatzi, A. N., Papadopoulou, M., Stouboulos, I. N., Bogiatzis, G. N. and Bountis, T., “Synchronizing Chaotic Attractors of Chua's Canonical Circuit: The Case of Uncertainty in Chaos Synchronization”, Intern. J. of Bifurc. Chaos 16 (7), 1961 – 76 (2006).

92. T. Bountis and Ch. Skokos, “Space Charges Can Significantly Affect the Dynamics of Accelerator Maps”, Physics Letters A 358, Issue 2, 9 October 2006, Pages 126-133.

93. P. Katsaloulis, T. Theoharis, W.M. Zheng, B. L. Hao, A. Bountis, Y. Almirantis and A. Provata, “Long-Range Correlations in RNA-Polymerase II Promoter Sequences Across Organisms”, Physica A 366, p. 308 – 322, 2006.

94. T. Bountis, “Stability of Motion: From Lyapunov to N – Degree of Freedom Hamiltonian Systems”, “Nonlinear Phenomena and Complex Systems”, vol. 9 (3), 209 -239, 2006.

95. G. Mahmoud, T. Bountis E. E.Mahmoud, “Active Control and Chaos Synchronization of the Complex Chen and Lü Systems”, International Journal of Bifurcation and Chaos, 17 (12) (2007).

96. P. Soulis, T. Bountis and R. Dvorak, “Stability of Motion in the Sitnikov 3 – Body Problem”, Cel. Mech. Dyn. Astron. 99, 129 (2007).

97. Ch. Skokos, T. Bountis and C. Antonopoulos, “Geometrical Properties of Local Dynamics in Hamiltonian Systems: The Generalized Alignment (GALI) Method”, Physica D 231, 30 (2007).

98. C. Antonopoulos and T. Bountis, “Detecting Order and Chaos by the Linear Dependence Index (LDI) Method”, ROMAI 2 (2) Journal, 1 – 13 (2007).

99. H. Christodoulidi and T. Bountis, “Low-Dimensional Quasiperiodic Motion in Hamiltonian Systems”, ROMAI Journal 2 (2), 37– 44 (2007).

100. Y.G Petalas, C.Antonopoulos, T.Bountis, M.N Vrahatis, “Evolutionary Methods for the Estimation of the Stability Domain and Frequency Optimization of Symplectic Maps”, International Journal of Bifurcation and Chaos, Vol. 18 No: 8, pp. 2249-2264 (2008).

101. Ch. Skokos, T. Bountis and C. Antonopoulos, “Detecting Chaos, Determining the Dimensions of Tori and Predicting Slow Diffusion in Fermi – Pasta – Ulam Lattices by the Generalized Alignment Method”, European Physics Journal – Special Topics, vol. 165, p. 5 - 14 (2008).

102. P. Soulis, K. Papadakis and T. Bountis, “Periodic Orbits and Bifurcations in the Sitnikov 4 – Body Problem”, Celest. Mech and Dyn. Astr. 100, 251 – 266 (2008).

103. T. Manos, Ch. Skokos, E. Athanassoula and T. Bountis, “Studying the Global Dynamics of Conservative Dynamical Systems using the SALI Chaos Detection Method”, Nonlinear Phenomena and Complex Systems, vol. 11(2) (2008).

104. G. M. Mahmoud, M. A. Al-Kashif, T. Bountis and S. A. Aly, “Dynamical Properties and Chaos Synchronization of Complex Nonlinear Equations for Detuned Lasers”, Journal of Dynamical Systems, Volume 24(1) , 63 - 79 (2008).

105. S. Anastassiou, T. Bountis and Y. Petalas, “On the Topology of the Lü Attractor and Related Systems”, J.Phys. A:Math. Theor. 41, 485101 (2008).

106. Andriopoulos K., Bountis T. and Papadopoulos N., “Theory of Oligopolies: Dynamics and Stability of Equilibria”, Romanian Journal of Applied and Industrial Mathematics 4(1) 47-60 (2008).

107. G. M. Mahmoud, T. Bountis, G. M. AbdEl-Latif, E. E. Mahmoud, “Chaos Synchronization of Two Different Chaotic Complex Chen and Lü systems”, Journal of Nonlinear Dynamics, Volume 55, Numbers 1-2 / January (2009).

108. T. Bountis, T. Manos and E. Christodoulidi, “Application of the GALI Method to Localization Dynamics in Nonlinear Systems”, Journal of Computational and Applied Mathematics, Volume 227, Issue 1, Pages 17–26 (2009).

109. Y.G Petalas, C.Antonopoulos, T.Bountis, M.N Vrahatis, “Detecting Resonances in Conservative Maps Using Evolutionary Algorithms”, Phys. Lett. A373, 334 – 341 (2009).

110. T. Bountis and K. Papadakis, "The Stability of Vertical Motion in the Circular Sitnikov N--Body Problem", Cel. Mech. Dyn. Astr. 104(1,2) 205 -225 (2009).

111. K. Andriopoulos, T. Bountis, J.P. van der Weele and E. Tsigaridi, “The Shape of Soliton-like Solutions of a Higher Order KdV Equation Describing Water Waves”, J. Nonlin. Math. Physics, 16, s-1, 1-12 (2009).

112. H. Christodoulidi, C. Efthymiopoulos and T. Bountis, “Energy Localization on q-Tori, Long Term Stability and the Interpretation of the FPU Paradox”, PRE 81, 016210 (2010).

113. C. Antonopoulos, V. Basios and T. Bountis, “Weak Chaos and the ‘Melting Transition’ in a Confined Microplasma System”, PRE 81, 016211(2010).

114. Y. Kominis and T. Bountis, “Analytical Solutions of Systems with Piecewise Linear Dynamics”, Int. J. Bifurc. Chaos 20, Issue: 2, 509-518 (2010).

115. T. Bountis, G. Chechin and V. Sakhnenko, “Discrete Symmetries and Stability in Hamiltonian Dynamics”, International J. of Bifurc. Chaos, 6 , 1539-1582 (June, 2011). http://arxiv.org/abs/1005.4308

116. Y. Kominis, T. Bountis, and K. Hizanidis, “Breathers in a Nonautonomous Toda Lattice with Pulsating Coupling”, Phys. Rev. E 81, 066601 (2010). http://pre.aps.org/abstract/PRE/v81/i6/e066601

117. C. Antonopoulos, T. Bountis and V. Basios, “Quasi--Stationary Chaotic States in Multi--Dimensional Hamiltonian Systems”, Physica A, Vol. 390, 3290-3307. (2011). http://arxiv.org/abs/1009.3049

118. S. Anastassiou, T. Bountis and Sp. Pnevmatikos, “Classification of Dynamical Systems Based on a Decomposition of their Vector Fields”, Journal of Differential Equations, Volume 253, Issue 7, 1 October 2012, Pages 2252–2262

119. G. Ruiz, T. Bountis and C. Tsallis, “Time--Evolving Statistics of Chaotic Orbits of Conservative Maps in the Context of the Central Limit Theorem”, Intern. J. Bifurc. Chaos, Vol. 22 (9), pp. 12502 (2012). http://arxiv.org/pdf/1106.6226.pdf

120. T. Bountis, T. Manos and Ch. Antonopoulos, “Complex Statistics in Hamiltonian Barred Galaxy Models”, Celestial Mechanics and Dynamical Astronomy, Volume 113, Issue 1 (2012), Page 63-80 (2012). http://arxiv.org/abs/1108.5059

121. S. Anastassiou, T. Bountis and Sp. Pnevmatikos, “Quadratic Vector Fields Equivariant Under the D2 Symmetry Group”, Int. J. Bifurcation Chaos 23, 1350017 (2013) [14 pages] DOI: 10.1142/S021812741350017X (2013).

122. G. Papantonopoulos, K. Takahashi, T. Bountis and B.G. Loos, “¬Using Cellular Automata Experiments to Model Periodontitis: A First Step Towards Understanding the Nonlinear Dynamics of the Disease”, Ιnt. J. Bifurcation Chaos 23, 1350056 [17 pages] (2013).

123. T. Manos, T. Bountis and H. Skokos, “Interplay Between Regular and Chaotic Motion in a Time-Dependent Barred Galaxy Model”, J. Phys. A: Math. Theor. 46 (2013) 254017. http://arxiv.org/abs/1208.3551

124. G. Papantonopoulos, K. Takahashi, T. Bountis, and B.G. Loos, “Aggressive Periodontitis Defined by Recursive Partitioning Analysis of Immunologic Factors”, Journal of Periodontology”, Vol. 84, No. 7 , Pages 974-984 (2013).

125. G. Papantonopoulos, K. Takahashi, T. Bountis, B.G. Loos, “Mathematical Modeling Suggests That Periodontitis Behaves as a Nonlinear Chaotic Dynamical Process, Journal of Periodontology, Vol. 84, No. 10, Pages e29-e39 , DOI 10.1902/jop.2013.120637 (2013).

126. Y. Kominis and T. Bountis, “Stability and Dynamics of Nonautonomous Systems with Pulsed Nonlinearity”, Phys. Rev. E 88, 042924 – Published 30 October 2013.

127. J. Hizanidis, V. Kanas, A. Bezerianos, and T. Bountis, “Chimera States in Nonlocally Coupled Networks of Hindmarsh-Rose Neuron Models”, Intern. J. Bifurc. Chaos, vol. 24 (3) 1450030 (2014). http://dx.doi.org/10.1142/S0218127414500308

128. T. Bountis, V. G. Kanas, J. Hizanidis and A. Bezerianos, “Chimera States in a Two-Population Network of Coupled Pendulum –Like Elements”, to appear in European Physics Journal Special Topics Volume 223, Issue 4, April 2014, p. 721 – 728, “Synchronization of Pendula Systems”, Guest Editors: T. Kapitaniak and J. Kurths. http://arxiv.org/abs/1308.5528

129. H. Christodoulidi, T. Bountis and J. P. van der Weele, “Phase Transitions in Models of Bird Flocking”, to appear in the special volume honoring the memory of Professor John S. Nicolis, “Chaos, Information Processing and Paradoxical Games”, World Scientific Publishing Company, edited by G. Nicolis and V. Basios (2014).

130. C. Antonopoulos, T. Bountis, Ch. Skokos, and L. Drossos, “Complex Statistics and Diffusion in Disordered Nonlinear Particle Chains”, Focus Issue: "Chaos Detection Methods And Predictability" Gottwald G. & Skokos Ch. (eds.), 2014, Chaos, Volume 24, Issue 2, 024405 (2014); http://dx.doi.org/10.1063/1.4871477

131. G. Papantonopoulos, K. Takahashi, T. Bountis, B.G. Loos, “Artificial neural networks for the diagnosis of aggressive periodontitis trained by immunologic parameters”, PLoS ONE 9(3): e89757. doi:10.1371/journal.pone.0089757

132. Ch. Antonopoulos, G. Michas, F. Vallianatos and T. Bountis, “Evidence of q-Exponential Statistics in Greek Seismicity”, Physica A, Volume 409, 2014, Pages 71–77.

133. H. Christodoulidi, C. Tsallis and Tassos Bountis, “Fermi-Pasta-Ulam model with long range interactions: Dynamics and thermostatistics”, European Physics Journal Letters EPL, 108, 40006, http://arxiv.org/abs/1405.3528 (2014).

134. H. Christodoulidi, . Bountis, C. Tsallis and L. Drossos, “Chaotic Behavior of the Fermi-Pasta-Ulam Model with Different Ranges of Particle interactions”, J. Stat. Mech. (2016) 123206.

135. G. Papantonopoulos, C. Gogos, E. Housos, T. Bountis and B. G. Loos, “Prediction of individual implant bone levels and the existence of implant phenotypes”, Clinical Implant Oral Research, 1st June 2016, Version of Record online: 1 JUN 2016 | DOI: 10.1111/clr.12887

136. T. Bountis, A.S. Fokas and E. Psarakis, “Fractal Analysis of Tree Paintings by Piet Mondrian (1872 – 1944)”, International Journal of Arts and Technology to appear (2016).

137. T. Bountis and F. D. Nobre, “Travelling-Wave and Separated Variable Solutions of a Nonlinear Schroedinger Equation”, J. Math. Phys. 57, 082106 (2016).

138. T. Bountis and P. Vanheacke, “A Class of Completely Integrable Lotka – Volterra Hamiltonian Systems”, Physics Letters Volume 380, Issue 47, 9 December 2016, Pages 3977–3982 http://authors.elsevier.com/sd/article/S0375960116309963

139. Y. Kominis, T. Bountis and S. Flach, “The Asymmetric Active Coupler: Nonlinear Supermodes and Directed Transport”, Scientific Reports Sci Rep. 2016; 6: 33699.

140. S. Anastassiou, T. Bountis and A. Bäcker, “Homoclinic Points of 2-D and 4-D Maps via the Parametrization Method”, preprint submitted for publication (2016).

141. Y. Kominis, T. Bountis and S. Flach, “Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Structures”, submitted for publication (2017).

 

In Conference Proceedings and Other Publications

1. T. Bountis, ''Nonlinear Models in Dynamics and Statistical Mechanics'', Ph. D. Thesis, Physics Dept., University of Rochester, N.Y. (1978).

2. C.R. Eminhizer, R. Helleman, T. Bountis, ''Variational Studies of the Beam-Beam Interaction'', BNL-25703 Report, Brookhaven National Lab., N.Y. (1979).

3. T. Bountis, E. Coutsias, ''On the Application of Perturbation Methods to the Beam-Beam Interaction'', A.I.P. Conf. Proc., ed. M. Month, J. Herrera, Vol. 57, A.I.P. (1980).

4. T. Bountis, ''The Role of Resonances, Stochasticity and Arnol'd Diffussion in the Beam-Beam Interaction'', SLAC-2624 CONF-8005102, Stanford Linear Accelerator Center (1982).

5. G. Stephanedes, T. Bountis, ''Nonlinear Dynamics in Transportation Demand and Supply'', Proc. of 10th IMACS World Congress, Aug.8-13,1982.

6. T. Bountis, ''Chaos in Hamiltonian Systems and Singularities in Complex Time'', AIAA-82-1443, Astrodynamics Conf. AIAA, N.Y., (1982).

7. T. Bountis, C.R. Eminhizer, R. Helleman, ''Global Stability in a 4D Mapping Model of Colliding Beams'', in Long-Time Prediction in Dynamics, eds. W. Horton, L. Reichl (J. Wiley and Sons, 1983).

8. G. Stephanedes, T. Bountis, ''Transportation and Economic Development Dynamics'', Proc. of 7th Intern. Conf. on System Dynamics, Brussels, vol. 2, 59 (1982).

9. T. Bountis, H. Segur, ''Logarithmic Singularities and Chaotic Behavior in Hamiltonian Systems'', A.I.P. Conf. Proc. Vol. 88, ed. M. Tabor, Y. Treves, A.I.P. New York, (1982).

10. T. Bountis, ''On the Analytic Structure of Chaos in Dynamical Systems'', Proc. Sitges Conf. IV, Lecture Notes in Physics, 179, 227 (Springer-Verlag, 1983).

11. T. Bountis, ''A Singularity Analysis of Integrability and Chaos in Dynamical Systems'', in Singularities and Dynamical Systems, ed. Sp. Pnevmatikos (N. Holland, Amsterdam, 1984).

12. G.M. Mahmound, T. Bountis, ''On Synchronized Periodic Orbits of a Periodically Forced van der Pol Oscillator'', Proc. of Intern. Conf. Singular Behavior and Nonlinear Dynamics, ed. St. Pnevmatikos, T. Bountis and Sp. Pnevmatikos (World Scientific, 1990).

13. T. Bountis, M. Bier, V. Papageorgiou, ''A Singularity Analysis Approach to the Solutions of Duffing's Equation'', in Symmetries and Singularity Structures eds M. Lakshmanan, M. Daniel (Springer, Heidelberg, 1991).

14. T. Bountis, St. Tompaidis, ''Strong and Weak Instabilities in 4D Mapping Models of Accelerator Dynamics'' in Nonlinear Problems in Future Particle Accelerators, ed. by G. Turchetti and W. Scandale (World Scientific, 1991).

15. T. Bountis, T. Skiniotis, St. Pnevmatikos, ''Fluxon Dynamics in Single and Coupled Long Josephson Junctions'', in Nonlinear Superconductive Electronics and Josephson Devices, ed. by N.F. Pedersen et al (Plenum, London, 1992).

16. L. Drossos and T. Bountis, ''On the Convergence of Series Solutions of Non-Integrable Systems With Algebraic Singularities in Complex Time'', in Chaotic Dynamics : Theory and Practice ed. T. Bountis (Plenum, London, 1992).

17. L.B. Drossos and T. Bountis, ''Iterative Fourier Methods for Computing Periodic Orbits : A Study of Stability and Chaos'', Proc. of 1st Congress of Greek Association of Computational Mechanics, Sept. 3-4, 1992, ed. by D. Beskos (Patras University Press, Patras, 1993).

18. T. Bountis and T. Skiniotis, ''Inductively Coupled Long Josephson Junctions: Collective Coordinate Analysis and I-V Characteristics'', Proc. of NATO ASI, Future Directions in Nonlinear Dynamics, ed. P.L. Christiansen, J. Eilbeck and R. Parmentier (Plenum, London, 1993).

19. M.N. Vrahatis, G. Servizi, G. Turchetti and T. Bountis, ''A Procedure to Compute the Fixed Points and Visualize the Orbits of a 2-D Map'', CERN Report, SL/93-06 (AP) (1993).

20. M. N. Vrahatis, and T. Bountis, ''An Efficient Method for Computing Periodic Orbits of Conservative Dynamical Systems'', in ''Hamiltonian Mechanics: Integrability and Chaotic Behavior'', ed. J. Seimenis (Plenum, 1994).

21. S. Papadimitriou, A. Bezerianos, T. Bountis and G.Pavlides, ''Chaotic Systems of Difference Equations for Real-Time Encryption'', 1995 IEEE Workshop on ''Nonlinear Signal and Image Processing'', June 20-22, 145-149 (1995).

22. V. Marinakis, T. Bountis: ``On the Integrability of a New Class of Water Wave Equations''. Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology, Heriot-Watt University, Edinburgh, July 10-14 1995, eds D. B. Duncan and J. C. Eilbeck, published on WWW.

23. T. Skiniotis and T. Bountis, ''Stability of Breathers in Inductively Coupled Long Josephson Junctions'', in: ''Fluctuation Phenomena: Disorder and Nonlinearity'', ed. A. Bishop et al. (World Scientific, 1995).

24. P. Polydoropoulos, N. Lambrakis and T. Bountis, "Application of Nonlinear Methods to the Study of the Regime of the Saltwater Karstic Spring of ''Almyros'', Heraclion, Crete", Proc. of IAMG '97, ed. V. Pawlowsky-Glahn CIMNE, Barcelona (1997).

25. T. Bountis, H. Isliker, M. Kollmann and M. Vrahatis, ''Stability and Diffusion in 4-D Mappings Models of Accelerator Dynamics'', Proc. of Conf. on ''Nonlinear and Stochastic Beam Dynamics'', Lueneburg, ed. H. Mais, DESY 97-161 Report (1998).

26. V.M. Rothos and T. Bountis, ''Mel' nikov's Vector and Singularity Analysis of Periodically Perturbed 2 D.O.F. Hamiltonian Systems'', 3DHAM95 NATO ASI Proceedings, ed. C. Simo (Kluwer, 1999).

27. V. Basios, T. Bountis and G. Nicolis, "The Effect of Parametric Noise on Escape Rates at the Onset of Homoclinic Chaos", Comp. Stoch. Mech., ed. P. Spanos (Balkema, Rotterdam, 1999).

28. T. Bountis and L. Drossos, "On the Nonintegrability of the Mixmaster Universe Model", Proc. of 3DHAM95 NATO ASI ed. C. Simo (Kluwer, 1999).

29. M. Vrahatis, T. Bountis and M. Kollmann,"On the Computation of Periodic Orbits and Invariant Surfaces in 4-D Mappings", Proceedings of NATO ASI 3DHAM95, ed C. Simo (Kluwer, 1999).

30. T. Bountis and J.P. van der Weele, "Subharmonic Bifurcations and Melnikov's Theory in a System of Parametrically Driven Pendulums", Proceedings of 3rd Summer School, "Let's Face Chaos Through Nonlinear Dynamics", Maribor, Slovenia, 1996, Nonlinear Phenomena and Complex Systems, 2 (3),1-13 (1999).

31. V. M. Rothos and T. Bountis, ''Nonintegrability and Infinite Branching of Solutions of 2 D.O.F. Hamiltonian Systems'', Proceedings of 3rd Summer School "Let's Face Chaos Through Nonlinear Dynamics", Maribor Slovenia, 1996, to appear in "Nonlinear Phenomena and Complex Systems" 2 (2), 63 – 71 (1999).

32. T. Bountis, Ch. Skokos and M. N. Vrahatis, “Computation and Stability of Periodic Orbits of Nonlinear Mappings”, Proc. of 4th International Congress of Greek Association of Computational Mechanics, ed. D. Tsahalis, Patras (2002).

33. Ch. Skokos, C. Antonopoulos, T. Bountis and M. N. Vrahatis, “Smaller Alignment Index (SALI): Order and Chaos in Conservative Dynamical Systems”, Proc. of 4th International Congress of Greek Association of Computational Mechanics, ed. D. Tsahalis, Patras (2002).

34. T. Bountis and J. Bergamin, «Discrete Breathers in Nonlinear Lattices: a Review and Recent Results», Proceedings of Conference "Galaxies and Chaos", Athens, September 16-19, 2002, Lecture Notes in Physics, vol. 626 (3), Springer Verlag (2003).

35. Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N., 2003, “Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems” in "Proceedings of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 653-664.

36. P. Panagopoulos, T. Bountis and C. Skokos, “Localized Oscillations in 1-D Lattices: Existence and Stability”, Proc. of 1st International Conference “From Scientific Computing to Computational Engineering” 1st IC-SCCE, Athens, 8-10 September, 2004.

37. P. Soulis, T. Bountis and M. Leftaki, “Regular and Chaotic Dynamics in Sitnikov’s Circular 3-Body Problem”, Proc. of 1st International Conference “From Scientific Computing to Computational Engineering” 1st IC-SCCE, Athens, 8-10 September, 2004.

38. C. Efthymiopoulos, T. Bountis and A. Manos, “Explicit Construction of First Integrals by Singularity Analysis in Nonlinear Dynamical Systems”, Proc. of 1st International Conference “From Scientific Computing to Computational Engineering” 1st IC-SCCE, Athens, 8-10 September, 2004.

39. E. Tzirtzilakis, Ch. D. Skokos, and T. C. Bountis, “Numerical Solution of the Boussinesq Equation Using Spectral Methods and Stability of Solitary Wave Propagation”, Proc. of 1st International Conference “From Scientific Computing to Computational Engineering” 1st IC-SCCE, Athens, 8-10 September, 2004.

40. Tzirtzilakis E. E., Skokos Ch. & Bountis T. C., 2004, “A numerical study of soliton solutions of the Boussinesq equation using spectral methods “, in "ICNAAM 2004, International Conference on Numerical Analysis and Applied Mathematics 2004", eds. Simos T. E. & Tsitouras Ch., Wiley-VCH, 415-418.

41. T. Manos, Ch. Skokos and T. Bountis, “Global Dynamics of Coupled Standard Maps”, Proceedings of Conference "Chaos in Astronomy", Athens, Greece, 17 - 20, September, 2007.

42. T. Manos, Ch. Skokos and T. Bountis, “Application of the Generalized Alignment Index (GALI) Method to the Dynamics of Multi - dimensional Symplectic Maps”, in WSPC Conference Proceedings, "Chaos, Complexity and Transport: Theory and Applications", Marseille, France, 4 - 8 June, 2007.

43. T. Bountis, H. Christodoulidi and S. Anastassiou, “Nerve Pulse Propagation in a Chain of FHN Nonlinear Oscillators”, Proceedings of 7th Summer School Conference “Let’s Face Chaos Through Nonlinear Dynamics”, Maribor, July 2008, AIP Conference Proceedings, vol. 1076 (New York, 2008).

44. Andriopoulos K. and Bountis T., “Dynamics of a Duopoly Model with Periodic Driving”, Proceedings of the 7th International Conference: “Let's Face Chaos Through Nonlinear Dynamics”, M Robnik and VG Romanovski eds. (American Institute of Physics Conference Proceedings, 1076, 9-12 (2008).

45. Bountis T., van der Weele K., Kanellopoulos G. and Andriopoulos K (2010) “Model Reduction of a Higher-Order KdV Equation for Shallow Water Waves” “Coping with Complexity: Model Reduction and Data Analysis”, Research Workshop Ambleside, Lake District, UK, August 31 – September 4, 2009 (Springer-Verlag, Heidelberg).

46. Andriopoulos K., Bountis T. and Dimas S., “Discrete-time dynamics of an oligopoly model with differentiated goods”, Advances in Nonlinear Economical Dynamics, Puu T and Panchuk A eds. (Nova Science) (2011).

47. Τ. Bountis, “Complexity Science and the Role of Mathematical Modeling”, Proceedings of “Out of the Box” International Conference, Maribor, Slovenia, May 15-17, 2012. http://obc2012.outofthebox.si/

48. Bountis, T. “Complex Problems in Theoretical and Applied Mechanics”, 10th Congress HSTAM, 25-27 May, 2013, Chania, Crete, Greece.

49. Y. Kominis, T. Bountis and K. Hizanidis, “Complex Dynamics of Piecewise Linear Systems: Theory and Applications'', Proceedings of 10th Congress HSTAM, Chania, Crete, 25-27 May, 2013.

50. J. Hizanidis, V. G. Kanas, A. Bezerianos and T. Bountis, “Existence and Control of Chimera States in Networks of Nonlocally Coupled Models of Neuron Oscillators”, published in the IEEE Proceedings 13th Int. Conf. on Control, Automation, Robotics and Vision (ICARCV), Singapore, 10 - 12 December 2014.

51. H. Christodoulidi and T. Bountis, “Numerical integration of variational equations for Hamiltonian systems with long range interactions”, Proceedings of NuMan 2014 Conference on “Recent Approaches to Numerical Analysis: Theory, Methods and Applications”, Chania, Crete, 2 – 5, September, 2014, Applied Numerical Mathematics 104, June 2016, Pages 158–165, Elsevier (2015).

52. Ch. Antonopoulos, T. Bountis and L. Drossos, “Coupled Symplectic Maps as Models for Subdiffusive Processes in Disordered Hamiltonian Lattices”, Proceedings of NuMan 2014 Conference on “Recent Approaches to Numerical Analysis: Theory, Methods and Applications”, Chania, Crete, 2 – 5, September, 2014, Applied Numerical Mathematics, 104, June 2016, 110–119, Elsevier (2015).

53. T. Bountis and H. Christodoulidi, “Complex Aspects in Hamiltonian Dynamics and Statistics”, Proceedings of the Symposium, “Quantum and Classical Chaos: What comes next?”, Ljubljana, October 9 – 11 May, 2014, Nonlinear Phenomena in Complex Systems, vol. 18 (3), 288 – 302 (2015).

54. T. Bountis, “From Mechanical to Biological Oscillator Networks: The Role of Long Range Interactions”, European Physics Journal Special Theme issue on the proceedings of the 5th Ph.D. School Conference on “Mathematical Modeling of Complex Systems”, The European Physical Journal Special Topics, September 2016, Volume 225, Issue 6, pp 1017–1035. http://link.springer.com/article/10.1140/epjst/e2016-02652-5

55. C. Antonopoulos, A.S. Fokas and T. Bountis, “Dynamical Complexity in the C.elegans Neural Network”, European Physics Journal Special Theme issue on the proceedings of the 5th Ph.D. School Conference on “Mathematical Modeling of Complex Systems”, September 2016, Volume 225, Issue 6, pp 1255–1269

 

Review papers in the Greek series of 10 volumes on “Order and Chaos in Nonlinear Dynamical Systems”

1. Bountis, T., “Chaos in Hamiltonian Dynamical Systems”, Volume 1, pp. 3 – 43 (G. Pnevmatikos, Athens, 1988).

2. Bountis, T., “Routes of Transition to Chaos”, Volume 2, pp. 59 – 148 (G. Pnevmatikos, Athens, 1989).

3. Bountis, T., “How Does Complex Time Help in the Analysis of Dynamical Systems in Real Time”, Volume 3, pp. 183 – 218 (G. Pnevmatikos, Athens, 1990).

4. Bountis, T., “Introduction to Mathematical Biology: Nonlinear Analysis of Cell Excitation”, Volume 5, pp. 153 – 218 (G. Pnevmatikos, Athens, 1999).

5. J. P. van der Weele and T. Bountis, «Multi – Breathers in Nonlinear Lattices”, Volume 6, pp.185 – 198 (G. Pnevmatikos, Athens, 2000).

6. Bountis, T., “Solitons and the Theory of Inverse Scattering”, Volume 7, pp. 3 – 37, (G. Pnevmatikos, Athens, 2002).

7. Panagopoulos,P. and Bountis, T., “Existence and Stability of Localized Oscillations in a One-Dimensional Nonlinear Lattice”, Volume 8, pp. 171 – 180 (K. Sfakianaki, Thessaloniki, 2003).

8. Petalas, J., Antonopoulos Ch., Bountis T., and Vrahatis M., “Investigation of Resonances in Conservative Maps Using Evolutionary Algorithms”, Volume 10, pp. 127 – 143 (University of Patras Press, 2008).