List of Publications

 

 

 

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, ''Integrability of 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  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, ''Chaotic Behavior in Paradoxical Game Models'', 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 Only 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 Data in Greece'', 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.  L. Drossos and T. Bountis, ''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, ''Real-Time Encryption 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 Solitonlike Solutions of Systems of Discretized Nonlinear Schrödinger Equations'', Physica 113 D  , p. 397 (1998).

57.  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).

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

59.  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).

60.  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).

61.  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).

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 Chaos 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, "Breather Stabilization 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 – 1976 (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”, to appear in International Journal of Bifurcation and Chaos, 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, to appear (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.          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, DOI 10.1007/s11071-008-9343-5 (2008).

104.          K. Veski, J. Engelbrecht and T. Bountis, “Emergence and Propagation of Nerve Pulses: Parameter Analysis and Response to Forcing”, submitted for publication (2008).

105.          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”, to appear in Journal of Dynamical Systems (2008).

106.          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.

107.          T. Bountis, T. Manos and E. Christodoulidi, “Application of the GALI Method to Localization Dynamics in Nonlinear Systems”, to appear in Journal of Computational and Applied Mathematics, doi:10.1016/j.cam.2008.07.034.

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

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", to appear in Celest. Mech and Dyn. Astr. (2008).

 

 

In Conference Proceedings and Other Publications

 

1.      T. Bountis, ''Nonlinear Models in Dynamics and Statistical Mechanics'', Ph. 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, 1982).

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.  T. Bountis, '' Chaos in Hamiltonian Systems'', in Proc. of 1st Summer School of Nonlinear Systems in Patras, ed. St. Pnevmatikos and T. Bountis (1988); in Greek.

13.  T. Bountis, '' Different Routes to Chaos'', in Proc. of 2nd Summer School in Nonlinear Systems, in Samos, ed. T. Bountis and St. Pnevmatikos (1989); in Greek.

14.  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).

15.  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).

16.  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).

17.  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).

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

19.  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).

20.  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).

21.  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).

22.  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).

23.  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).

24.  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.

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

26.  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).

27.  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).

28.  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).

29.  V. Basios, T. Bountis and G. Nicolis, " Effect of Parametric Noise at the Onset of Homoclinic Chaos in Nonlinear Oscillators", Comp. Stoch. Mech., ed. P. Spanos (Balkema, Rotterdam, 1999).

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

31.  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).

32.  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).

33.  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).

34.  T. Bountis, ''Introduction to Mathematical Biology: Nonlinear Analysis of Cell Communication'', in Greek, Proceedings of the 11th Summer School/Conference on ''Nonlinear Dynamics: Chaos and Complexity'', Order and Chaos vol. 5, eds. C. Polymilis, D. Frantzeskakis, K. Hizanidis (G. Pnevmatikos, Athens, 1999).

35.  J. P. v.d. Weele and T. Bountis, ''Multibreathers in Nonlinear Lattices'', Proceedings of the 12th Summer School/Conference on ''Nonlinear Dynamics: Chaos and Complexity'', Order and Chaos vol. 6, eds. T. Bountis and Sp. Pnevmatikos (G. Pnevmatikos, Athens, 2000).

36.  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).

37.  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).

38.  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.

39.  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.

40.   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.

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, to appear in AIP Conference Proceedings (New York, 2008).