Edit Profile Bountis, Tassos C. Compute Distance To: Compute Author ID: bountis.tassos-c Published as: Bountis, T.; Bountis, T. C.; Bountis, Tassos; Bountis, Tassos C. External Links: MGP Documents Indexed: 100 Publications since 1979, including 2 Books Biographic References: 1 Publication all top 5 Co-Authors 6 single-authored 9 Vrahatis, Michael N. 8 Antonopoulos, Chris G. 7 Mahmoud, Gamal M. 7 Skokos, Charalampos Haris 6 Kollmann, Michael 5 Anastassiou, Stavros 5 Christodoulidi, Helen 5 Drossos, Lambros 5 Marinakis, Vangelis 5 Rothos, Vassilios M. 4 Bergamin, J. M. 4 Bezerianos, Anastasios 4 Papageorgiou, Vassilios G. 3 Andriopoulos, Kostis 3 Drossos, L. B. 3 Manos, Thanos 3 Petalas, Y. G. 3 Pnevmatikos, Spyros N. 3 Tzirtzilakis, Efstratios E. 2 Abenda, Simonetta 2 Ahmed, Sayed Attia 2 Dorizzi, Bernadette 2 Grammaticos, Basil 2 Helleman, Robert H. G. 2 Laugesen, Jakob L. 2 Mahmoud, Emad E. 2 Mosekilde, Erik 2 Papadakis, K. E. 2 Papadimitriou, Stergios 2 Ramani, Alfred 2 Skiniotis, Takis 2 Soulis, P. S. 2 Tsallis, Constantino 2 Tsarouhas, George 2 Vanhaecke, Pol 2 Winternitz, Pavel 1 Abd El-Latif, G. M. 1 Al-Kashif, M. A. 1 Aly, Shaban A. H. 1 Andriopoulos, Konstantinos 1 Apokis, C. 1 Bäcker, Arnd 1 Basios, Vasileios 1 Bier, Martin 1 Bogiatzi, A. N. 1 Bogiatzis, G. N. 1 Budinsky, Nurit 1 Capel, Hans W. 1 Carlsson, Niklas 1 Chechin, George M. 1 Christodoulid, Helen 1 Dimas, Stelios 1 Dvorak, Rudolf 1 Efthymiopoulos, Christos 1 Flach, Sergej 1 Glasser, M. Lawrence 1 Goriely, Alain 1 Grapsa, Theodoula N. 1 Herman, Russell L. 1 Hizanidis, Johanne 1 Holden, Arun V. 1 Isliker, Heinz 1 Jung, Christopher 1 Kamvissis, Spyridon 1 Kanas, Vasileios G. 1 Kremmydas, G. P. 1 Kuznetsov, Sergey P. 1 Kyprianidis, Ioannis M. 1 Lakshmanan, Muthusamy 1 Leontitsis, Alexandros 1 Mavroudi, Seferina 1 Nicolis, Gregoire 1 Nicolis, John S. 1 Nobre, Fernando D. 1 Pange, Jenny 1 Papadopoulos, Nikos T. 1 Papadopoulou, Maria S. 1 Parthasarathy, Sailaja 1 Percival, Ian C. 1 Pnevmatikos, Stéphanos N. 1 Ross, J. C. 1 Ruiz, Guiomar 1 Sakhnenko, Vladimir P. 1 Segur, Harvey 1 Skokos, Haris 1 Stouboulos, Ioannis N. 1 Togias, K. 1 Tsigaridi, Liana 1 van der Weele, Ko 1 Xenos, Michail A. all top 5 Serials 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Physica D 7 Physics Letters. A 5 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and General 3 Nonlinearity 3 Physica A 3 Chaos, Solitons and Fractals 3 Celestial Mechanics and Dynamical Astronomy 3 Open Systems & Information Dynamics 3 ROMAI Journal 2 Applied Numerical Mathematics 2 Regular and Chaotic Dynamics 2 Dynamical Systems 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Bulletin of the Greek Mathematical Society 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Communications in Applied Analysis 1 Nonlinear Dynamics 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Regularnaya & Khaoticheskaya Dinamika 1 International Journal of Differential Equations and Applications 1 Journal of Nonlinear Mathematical Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Springer Series in Synergetics 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 66 Dynamical systems and ergodic theory (37-XX) 26 Ordinary differential equations (34-XX) 22 Mechanics of particles and systems (70-XX) 13 Partial differential equations (35-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 5 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 78 Publications have been cited 562 times in 411 Documents Cited by ▼ Year ▼ Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. 66 2007 Chaos synchronization of two different chaotic complex Chen and Lü systems. Zbl 1170.70011Mahmoud, Gamal M.; Bountis, Tassos; AbdEl-Latif, G. M.; Mahmoud, Emad E. 33 2009 The dynamics of systems of complex nonlinear oscillators: a review. Zbl 1091.34524Mahmoud, Gamal M.; Bountis, Tassos 33 2004 Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method. Zbl 1117.37034Skokos, Ch.; Bountis, T. C.; Antonopoulos, Ch. 25 2007 Interactions and stability of solitary waves in shallow water. Zbl 1068.76011Tzirtzilakis, E.; Xenos, M.; Marinakis, V.; Bountis, T. C. 22 2002 On the integrability of systems of nonlinear ordinary differential equations with superposition principles. Zbl 0589.34040Bountis, T. C.; Papageorgiou, V.; Winternitz, P. 22 1986 Chimera states in networks of nonlocally coupled Hindmarsh-Rose neuron models. Zbl 1296.34132Hizanidis, Johanne; Kanas, Vasileios G.; Bezerianos, Anastasios; Bountis, Tassos 21 2014 On the complete and partial integrability of non-Hamiltonian systems. Zbl 0599.34002Bountis, T. C.; Ramani, A.; Grammaticos, B.; Dorizzi, B. 20 1984 Soliton-like solutions of higher order wave equations of the Korteweg-de Vries type. Zbl 1060.35127Tzirtzilakis, E.; Marinakis, V.; Apokis, C.; Bountis, T. 19 2002 Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029Soulis, P. S.; Papadakis, K. E.; Bountis, T. 18 2008 Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics. Zbl 0906.58013Vrahatis, M. N.; Isliker, H.; Bountis, T. C. 16 1997 Mel’nikov’s function for two-dimensional mappings. Zbl 0687.58023Glasser, M. L.; Papageorgiou, V. G.; Bountis, T. C. 14 1989 Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312Soulis, P.; Bountis, T.; Dvorak, R. 13 2007 Dynamical properties and synchronization of complex non-linear equations for detuned lasers. Zbl 1172.34033Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A. 12 2009 Integrability and the Painlevé property for low-dimensional systems. Zbl 0553.34032Ramani, A.; Dorizzi, B.; Grammaticos, B.; Bountis, T. 12 1984 The stability of vertical motion in the \(N\)-body circular Sitnikov problem. Zbl 1165.70012Bountis, T.; Papadakis, K. E. 11 2009 Periodic orbits and invariant surfaces of 4D nonlinear mappings. Zbl 0879.58027Vrahatis, M. N.; Bountis, T. C.; Kollmann, M. 10 1996 Chaotic dynamics of \(N\)-degree of freedom Hamiltonian systems. Zbl 1140.70466Antonopoulos, Chris; Bountis, Tassos; Skokos, Charalampos 9 2006 Period doubling bifurcations and universality in conservative systems. Zbl 1194.34060Bountis, Tassos C. 9 1981 A probabilistic symmetric encryption scheme for very fast secure communication based on chaotic systems of difference equations. Zbl 1091.94503Papadimitriou, S.; Bountis, T.; Mavroudi, S.; Bezerianos, A. 8 2001 Stability analysis for systems of nonlinear Hill’s equations. Zbl 1053.34518Mahmoud, G. M.; Bountis, T.; Ahmed, S. A. 8 2000 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506Bountis, T.; Goriely, A.; Kollmann, M. 8 1995 Complex Hamiltonian dynamics. With a foreword by Sergej Flach. Zbl 1248.37001Bountis, Tassos; Skokos, Haris 7 2012 Special solutions of a new class of water wave equations. Zbl 1084.76511Marinakis, V.; Bountis, T. C. 6 2000 Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices. Zbl 0940.82018Bountis, T.; Capel, H. W.; Kollmann, M.; Ross, J. C.; Bergamin, J. M. 6 2000 Investigating non-integrability and chaos in complex time. Zbl 0890.58023Bountis, Tassos 6 1995 Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices. Zbl 0541.70027Budinsky, Nurit; Bountis, Tassos 6 1983 Quadratic vector fields equivariant under the \(D_2\) symmetry group. Zbl 1270.34067Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos 5 2013 A method for locating symmetric homoclinic orbits using symbolic dynamics. Zbl 0988.37025Bergamin, J. M.; Bountis, T.; Jung, C. 5 2000 On the non-integrability of a family of Duffing-van der Pol oscillators. Zbl 0822.34007Bountis, T. C.; Drossos, L. B.; Lakshmanan, M.; Parthasarathy, S. 5 1993 What can complex time tell us about real time dynamics? Zbl 0874.58055Bountis, Tassos C. 5 1992 On the stability of periodic orbits of two-dimensional mappings. Zbl 0472.58014Bountis, Tassos; Helleman, Robert H. G. 5 1981 Lotka-Volterra systems satisfying a strong Painlevé property. Zbl 1366.34018Bountis, Tassos; Vanhaecke, Pol 4 2016 Application of the GALI method to localization dynamics in nonlinear systems. Zbl 1162.65061Bountis, T.; Manos, T.; Christodoulidi, H. 4 2009 On the connection between hyperelliptic separability and Painlevé integrability. Zbl 1156.34300Abenda, S.; Marinakis, V.; Bountis, T. 4 2001 Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd 3 2017 Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation. Zbl 1345.35097Bountis, Tassos; Nobre, Fernando D. 3 2016 Numerical integration of variational equations for Hamiltonian systems with long range interactions. Zbl 1336.65196Christodoulidi, Helen; Bountis, Tassos; Drossos, Lambros 3 2016 Classification of dynamical systems based on a decomposition of their vector fields. Zbl 1260.37013Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos 3 2012 Detecting resonances in conservative maps using evolutionary algorithms. Zbl 1227.37008Petalas, Y. G.; Antonopoulos, C. G.; Bountis, T. C.; Vrahatis, M. N. 3 2009 On the topology of the Lü attractor and related systems. Zbl 1151.37311Anastassiou, S.; Bountis, T.; Petalas, Y. G. 3 2008 Detecting order and chaos by the linear dependence index (LDI) method. Zbl 1265.37010Antonopoulos, Chris; Bountis, Tassos 3 2006 Large noise level estimation. Zbl 1078.37521Leontitsis, Alexandros; Pange, Jenny; Bountis, Tassos 3 2003 Homoclinic orbits of invertible maps. Zbl 1013.37019Bergamin, J. M.; Bountis, T.; Vrahatis, M. N. 3 2002 Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011Bountis, T.; Drossos, L.; Percival, I. C. 3 1991 Synchronized periodic solutions of a class of periodically driven nonlinear oscillators. Zbl 0659.70027Mahmoud, Gamal M.; Bountis, Tassos 3 1988 On the singularity analysis of intersecting separatrices in near- integrable dynamical systems. Zbl 0613.70023Bountis, Tassos; Papageorgiou, V.; Bier, M. 3 1987 Logarithmic singularities and chaotic behaviour in Hamiltonian systems. Zbl 0544.70028Bountis, Tassos; Segur, Harvey 3 1982 Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros 2 2016 Complex statistics and diffusion in nonlinear disordered particle chains. Zbl 1345.37030Antonopoulos, Ch. G.; Bountis, T.; Skokos, Ch.; Drossos, L. 2 2014 Time-evolving statistics of chaotic orbits of conservative maps in the context of the central limit theorem. Zbl 1258.37054Ruiz, G.; Bountis, T.; Tsallis, C. 2 2012 Synchronizing chaotic attractors of Chua’s canonical circuit. The case of uncertainty in chaos synchronization. Zbl 1160.94399Kyprianidis, I. M.; Bogiatzi, A. N.; Papadopoulou, M.; Stouboulos, I. N.; Bogiatzis, G. N.; Bountis, T. 2 2006 Space charges can significantly affect the dynamics of accelerator maps. Zbl 1142.37375Bountis, Tassos; Skokos, Charalampos 2 2006 A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation. Zbl 0999.35093Bergamin, J. M.; Kamvissis, S.; Bountis, T. 2 2002 Radial basis function networks as chaotic generators for secure communication systems. Zbl 0937.37018Papadimitriou, S.; Bezerianos, A.; Bountis, T. 2 1999 The dynamics of coupled perturbed discretized NLS equations. Zbl 0935.35155Rothos, Vassilios M.; Bountis, Tassos C. 2 1998 A Mel’nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations. Zbl 0938.37035Kollmann, Michael; Bountis, Tassos 2 1998 Mel’nikov analysis of phase space transport in a \(N\)-degree-of-freedom Hamiltonian system. Zbl 0895.34040Rothos, Vassilios M.; Bountis, Tassos C. 2 1997 Evidence of a natural boundary and nonintegrability of the mixmaster universe model. Zbl 0867.34003Bountis, T. C.; Drossos, L. B. 2 1997 Diffusion rates in a 4-dimensional mapping model of accelerator dynamics. Zbl 0820.58040Bountis, Tassos; Kollmann, Michael 2 1994 Inductively coupled long Josephson junctions: Collective coordinate analysis and I-V characteristics. Zbl 0900.35397Bountis, Tassos; Skiniotis, Takis 2 1993 Solving systems of nonlinear equations in \(R^ n\) using a rotating hyperplane in \(R^{n+1}\). Zbl 0704.65038Grapsa, T. N.; Vrahatis, M. N.; Bountis, T. C. 2 1990 Normal form solutions of dynamical systems in the basin of attraction of their fixed points. Zbl 0668.58031Bountis, Tassos; Tsarouhas, George; Herman, Russell 2 1988 A singularity analysis of integrability and chaos in dynamical systems. Zbl 0579.58010Bountis, Tassos C. 2 1985 Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics. Zbl 1380.82029Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej 1 2017 Interplay between chaotic and regular motion in a time-dependent barred galaxy model. Zbl 1351.37156Manos, T.; Bountis, T.; Skokos, Ch. 1 2013 Discrete symmetry and stability in Hamiltonian dynamics. Zbl 1248.37056Bountis, Tassos; Chechin, George; Sakhnenko, Vladimir 1 2011 The shape of soliton-like solutions of a higher-order KdV equation describing water waves. Zbl 1362.35252Andriopoulos, Kostis; Bountis, Tassos; Van der Weele, K.; Tsigaridi, Liana 1 2009 Theory of oligopolies: dynamics and stability of equilibria. Zbl 1265.91118Andriopoulos, Konstantinos; Bountis, Tassos; Papadopoulos, Nikos 1 2008 Low-dimensional quasiperiodic motion in Hamiltonian systems. Zbl 1265.70018Christodoulidi, Helen; Bountis, Tassos 1 2006 The dynamics of self-referential paradoxical games. Zbl 1060.91003Nicolis, J. S.; Bountis, T.; Togias, K. 1 2001 Type-II internittency in a class of two coupled one-dimensional maps. Zbl 1026.37028Laugesen, J.; Mosekilde, E.; Bountis, T.; Kuznetsov, S. P. 1 2000 The effect parametric noise on escape rates at the onset of homoclinic chaos. Zbl 0977.70019Basios, V.; Nicolis, G.; Bountis, T. 1 1999 The second-order Mel’nikov vector. Zbl 0943.34031Rothos, V. M.; Bountis, T. C. 1 1997 Anomalous statistics for type-III intermittency. Zbl 0892.58054Laugesen, Jakob; Carlsson, Niklas; Mosekilde, Erik; Bountis, Tassos 1 1997 Representation of sino-atrial node dynamics by circle maps. Zbl 0877.92010Kremmydas, G. P.; Holden, A. V.; Bezerianos, A.; Bountis, T. 1 1996 Soliton propagation in a system of two inductively coupled long Josephson junctions. Zbl 1080.82588Skiniotis, Takis; Bountis, Tassos 1 1995 On the application of normal forms near attracting fixed points of dynamical systems. Zbl 0683.58032Bountis, Tassos; Tsarouhas, George 1 1988 Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd 3 2017 Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics. Zbl 1380.82029Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej 1 2017 Lotka-Volterra systems satisfying a strong Painlevé property. Zbl 1366.34018Bountis, Tassos; Vanhaecke, Pol 4 2016 Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation. Zbl 1345.35097Bountis, Tassos; Nobre, Fernando D. 3 2016 Numerical integration of variational equations for Hamiltonian systems with long range interactions. Zbl 1336.65196Christodoulidi, Helen; Bountis, Tassos; Drossos, Lambros 3 2016 Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros 2 2016 Chimera states in networks of nonlocally coupled Hindmarsh-Rose neuron models. Zbl 1296.34132Hizanidis, Johanne; Kanas, Vasileios G.; Bezerianos, Anastasios; Bountis, Tassos 21 2014 Complex statistics and diffusion in nonlinear disordered particle chains. Zbl 1345.37030Antonopoulos, Ch. G.; Bountis, T.; Skokos, Ch.; Drossos, L. 2 2014 Quadratic vector fields equivariant under the \(D_2\) symmetry group. Zbl 1270.34067Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos 5 2013 Interplay between chaotic and regular motion in a time-dependent barred galaxy model. Zbl 1351.37156Manos, T.; Bountis, T.; Skokos, Ch. 1 2013 Complex Hamiltonian dynamics. With a foreword by Sergej Flach. Zbl 1248.37001Bountis, Tassos; Skokos, Haris 7 2012 Classification of dynamical systems based on a decomposition of their vector fields. Zbl 1260.37013Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos 3 2012 Time-evolving statistics of chaotic orbits of conservative maps in the context of the central limit theorem. Zbl 1258.37054Ruiz, G.; Bountis, T.; Tsallis, C. 2 2012 Discrete symmetry and stability in Hamiltonian dynamics. Zbl 1248.37056Bountis, Tassos; Chechin, George; Sakhnenko, Vladimir 1 2011 Chaos synchronization of two different chaotic complex Chen and Lü systems. Zbl 1170.70011Mahmoud, Gamal M.; Bountis, Tassos; AbdEl-Latif, G. M.; Mahmoud, Emad E. 33 2009 Dynamical properties and synchronization of complex non-linear equations for detuned lasers. Zbl 1172.34033Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A. 12 2009 The stability of vertical motion in the \(N\)-body circular Sitnikov problem. Zbl 1165.70012Bountis, T.; Papadakis, K. E. 11 2009 Application of the GALI method to localization dynamics in nonlinear systems. Zbl 1162.65061Bountis, T.; Manos, T.; Christodoulidi, H. 4 2009 Detecting resonances in conservative maps using evolutionary algorithms. Zbl 1227.37008Petalas, Y. G.; Antonopoulos, C. G.; Bountis, T. C.; Vrahatis, M. N. 3 2009 The shape of soliton-like solutions of a higher-order KdV equation describing water waves. Zbl 1362.35252Andriopoulos, Kostis; Bountis, Tassos; Van der Weele, K.; Tsigaridi, Liana 1 2009 Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029Soulis, P. S.; Papadakis, K. E.; Bountis, T. 18 2008 On the topology of the Lü attractor and related systems. Zbl 1151.37311Anastassiou, S.; Bountis, T.; Petalas, Y. G. 3 2008 Theory of oligopolies: dynamics and stability of equilibria. Zbl 1265.91118Andriopoulos, Konstantinos; Bountis, Tassos; Papadopoulos, Nikos 1 2008 Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. 66 2007 Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method. Zbl 1117.37034Skokos, Ch.; Bountis, T. C.; Antonopoulos, Ch. 25 2007 Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312Soulis, P.; Bountis, T.; Dvorak, R. 13 2007 Chaotic dynamics of \(N\)-degree of freedom Hamiltonian systems. Zbl 1140.70466Antonopoulos, Chris; Bountis, Tassos; Skokos, Charalampos 9 2006 Detecting order and chaos by the linear dependence index (LDI) method. Zbl 1265.37010Antonopoulos, Chris; Bountis, Tassos 3 2006 Synchronizing chaotic attractors of Chua’s canonical circuit. The case of uncertainty in chaos synchronization. Zbl 1160.94399Kyprianidis, I. M.; Bogiatzi, A. N.; Papadopoulou, M.; Stouboulos, I. N.; Bogiatzis, G. N.; Bountis, T. 2 2006 Space charges can significantly affect the dynamics of accelerator maps. Zbl 1142.37375Bountis, Tassos; Skokos, Charalampos 2 2006 Low-dimensional quasiperiodic motion in Hamiltonian systems. Zbl 1265.70018Christodoulidi, Helen; Bountis, Tassos 1 2006 The dynamics of systems of complex nonlinear oscillators: a review. Zbl 1091.34524Mahmoud, Gamal M.; Bountis, Tassos 33 2004 Large noise level estimation. Zbl 1078.37521Leontitsis, Alexandros; Pange, Jenny; Bountis, Tassos 3 2003 Interactions and stability of solitary waves in shallow water. Zbl 1068.76011Tzirtzilakis, E.; Xenos, M.; Marinakis, V.; Bountis, T. C. 22 2002 Soliton-like solutions of higher order wave equations of the Korteweg-de Vries type. Zbl 1060.35127Tzirtzilakis, E.; Marinakis, V.; Apokis, C.; Bountis, T. 19 2002 Homoclinic orbits of invertible maps. Zbl 1013.37019Bergamin, J. M.; Bountis, T.; Vrahatis, M. N. 3 2002 A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation. Zbl 0999.35093Bergamin, J. M.; Kamvissis, S.; Bountis, T. 2 2002 A probabilistic symmetric encryption scheme for very fast secure communication based on chaotic systems of difference equations. Zbl 1091.94503Papadimitriou, S.; Bountis, T.; Mavroudi, S.; Bezerianos, A. 8 2001 On the connection between hyperelliptic separability and Painlevé integrability. Zbl 1156.34300Abenda, S.; Marinakis, V.; Bountis, T. 4 2001 The dynamics of self-referential paradoxical games. Zbl 1060.91003Nicolis, J. S.; Bountis, T.; Togias, K. 1 2001 Stability analysis for systems of nonlinear Hill’s equations. Zbl 1053.34518Mahmoud, G. M.; Bountis, T.; Ahmed, S. A. 8 2000 Special solutions of a new class of water wave equations. Zbl 1084.76511Marinakis, V.; Bountis, T. C. 6 2000 Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices. Zbl 0940.82018Bountis, T.; Capel, H. W.; Kollmann, M.; Ross, J. C.; Bergamin, J. M. 6 2000 A method for locating symmetric homoclinic orbits using symbolic dynamics. Zbl 0988.37025Bergamin, J. M.; Bountis, T.; Jung, C. 5 2000 Type-II internittency in a class of two coupled one-dimensional maps. Zbl 1026.37028Laugesen, J.; Mosekilde, E.; Bountis, T.; Kuznetsov, S. P. 1 2000 Radial basis function networks as chaotic generators for secure communication systems. Zbl 0937.37018Papadimitriou, S.; Bezerianos, A.; Bountis, T. 2 1999 The effect parametric noise on escape rates at the onset of homoclinic chaos. Zbl 0977.70019Basios, V.; Nicolis, G.; Bountis, T. 1 1999 The dynamics of coupled perturbed discretized NLS equations. Zbl 0935.35155Rothos, Vassilios M.; Bountis, Tassos C. 2 1998 A Mel’nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations. Zbl 0938.37035Kollmann, Michael; Bountis, Tassos 2 1998 Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics. Zbl 0906.58013Vrahatis, M. N.; Isliker, H.; Bountis, T. C. 16 1997 Mel’nikov analysis of phase space transport in a \(N\)-degree-of-freedom Hamiltonian system. Zbl 0895.34040Rothos, Vassilios M.; Bountis, Tassos C. 2 1997 Evidence of a natural boundary and nonintegrability of the mixmaster universe model. Zbl 0867.34003Bountis, T. C.; Drossos, L. B. 2 1997 The second-order Mel’nikov vector. Zbl 0943.34031Rothos, V. M.; Bountis, T. C. 1 1997 Anomalous statistics for type-III intermittency. Zbl 0892.58054Laugesen, Jakob; Carlsson, Niklas; Mosekilde, Erik; Bountis, Tassos 1 1997 Periodic orbits and invariant surfaces of 4D nonlinear mappings. Zbl 0879.58027Vrahatis, M. N.; Bountis, T. C.; Kollmann, M. 10 1996 Representation of sino-atrial node dynamics by circle maps. Zbl 0877.92010Kremmydas, G. P.; Holden, A. V.; Bezerianos, A.; Bountis, T. 1 1996 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506Bountis, T.; Goriely, A.; Kollmann, M. 8 1995 Investigating non-integrability and chaos in complex time. Zbl 0890.58023Bountis, Tassos 6 1995 Soliton propagation in a system of two inductively coupled long Josephson junctions. Zbl 1080.82588Skiniotis, Takis; Bountis, Tassos 1 1995 Diffusion rates in a 4-dimensional mapping model of accelerator dynamics. Zbl 0820.58040Bountis, Tassos; Kollmann, Michael 2 1994 On the non-integrability of a family of Duffing-van der Pol oscillators. Zbl 0822.34007Bountis, T. C.; Drossos, L. B.; Lakshmanan, M.; Parthasarathy, S. 5 1993 Inductively coupled long Josephson junctions: Collective coordinate analysis and I-V characteristics. Zbl 0900.35397Bountis, Tassos; Skiniotis, Takis 2 1993 What can complex time tell us about real time dynamics? Zbl 0874.58055Bountis, Tassos C. 5 1992 Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011Bountis, T.; Drossos, L.; Percival, I. C. 3 1991 Solving systems of nonlinear equations in \(R^ n\) using a rotating hyperplane in \(R^{n+1}\). Zbl 0704.65038Grapsa, T. N.; Vrahatis, M. N.; Bountis, T. C. 2 1990 Mel’nikov’s function for two-dimensional mappings. Zbl 0687.58023Glasser, M. L.; Papageorgiou, V. G.; Bountis, T. C. 14 1989 Synchronized periodic solutions of a class of periodically driven nonlinear oscillators. Zbl 0659.70027Mahmoud, Gamal M.; Bountis, Tassos 3 1988 Normal form solutions of dynamical systems in the basin of attraction of their fixed points. Zbl 0668.58031Bountis, Tassos; Tsarouhas, George; Herman, Russell 2 1988 On the application of normal forms near attracting fixed points of dynamical systems. Zbl 0683.58032Bountis, Tassos; Tsarouhas, George 1 1988 On the singularity analysis of intersecting separatrices in near- integrable dynamical systems. Zbl 0613.70023Bountis, Tassos; Papageorgiou, V.; Bier, M. 3 1987 On the integrability of systems of nonlinear ordinary differential equations with superposition principles. Zbl 0589.34040Bountis, T. C.; Papageorgiou, V.; Winternitz, P. 22 1986 A singularity analysis of integrability and chaos in dynamical systems. Zbl 0579.58010Bountis, Tassos C. 2 1985 On the complete and partial integrability of non-Hamiltonian systems. Zbl 0599.34002Bountis, T. C.; Ramani, A.; Grammaticos, B.; Dorizzi, B. 20 1984 Integrability and the Painlevé property for low-dimensional systems. Zbl 0553.34032Ramani, A.; Dorizzi, B.; Grammaticos, B.; Bountis, T. 12 1984 Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices. Zbl 0541.70027Budinsky, Nurit; Bountis, Tassos 6 1983 Logarithmic singularities and chaotic behaviour in Hamiltonian systems. Zbl 0544.70028Bountis, Tassos; Segur, Harvey 3 1982 Period doubling bifurcations and universality in conservative systems. Zbl 1194.34060Bountis, Tassos C. 9 1981 On the stability of periodic orbits of two-dimensional mappings. Zbl 0472.58014Bountis, Tassos; Helleman, Robert H. G. 5 1981 all cited Publications top 5 cited Publications all top 5 Cited by 703 Authors 33 Bountis, Tassos C. 26 Mahmoud, Gamal M. 18 Mahmoud, Emad E. 11 Vrahatis, Michael N. 9 Antonopoulos, Chris G. 9 Liu, Shutang 8 Rui, Weiguo 7 Skokos, Charalampos Haris 6 Ahmed, Mansour E. 6 Bountis, Anastasios 6 Llibre, Jaume 6 Zhou, Xiaobing 5 Aly, Shaban A. H. 5 Drossos, Lambros 5 Grammaticos, Basil 5 He, Bin 5 Li, Jibin 5 Liu, Jian 5 Long, Yao 5 Wu, Zhaoyan 4 Anastassiou, Stavros 4 Bäcker, Arnd 4 Cai, Xiaomei 4 Chandrasekar, V. K. 4 Gaidashev, Denis G. 4 Jiang, Murong 4 Lakshmanan, Muthusamy 4 Liu, Xiao Jun 4 Ramani, Alfred 4 Turchetti, Giorgio 4 Zhang, Fangfang 4 Zhang, Hongqing 3 Chen, Guanrong 3 Cheng, Xuhua 3 Christodoulidi, Helen 3 Cornille, Henri 3 Damianou, Pantelis Andrea 3 El-Sayed, Ahmed Mohamed Ahmed 3 Farghaly, Ahmed A. M. 3 Fečkan, Michal 3 Fu, Xinchu 3 Grapsa, Theodoula N. 3 Hone, Andrew N. W. 3 Hong, Baojian 3 Ichtiaroglou, Simos 3 Jiang, Cuimei 3 Katsanikas, Matthaios 3 Kevrekidis, Panayotis G. 3 Li, Shujun 3 Lu, Dianchen 3 Ma, Dazhu 3 Manos, Thanos 3 Marinakis, Vangelis 3 Meiss, James D. 3 Patsis, P. A. 3 Senthilvelan, Murugaian 3 She, Zhikun 3 Shen, Yi 3 Shi, Shaoyun 3 Sprott, Julien Clinton 3 Sun, Junwei 3 Valls Anglés, Cláudia 3 Wang, Xingyuan 3 Yang, Lixin 3 Zheng, Song 3 Zotos, Euaggelos E. 2 Abed-Elhameed, Tarek M. 2 Abualnaja, Kholod M. 2 Al-Kashif, M. A. 2 Alurrfi, Khaled A. E. 2 Arafa, Ayman A. 2 Basios, Vasileios 2 Batista, Antonio Marcos 2 Biswas, Anjan 2 Campoamor-Stursberg, Rutwig 2 Clarkson, Peter A. 2 Craik, Alex D. D. 2 Cuevas Maraver, Jesús 2 Cui, Guangzhao 2 Dai, Chaoqing 2 Doi, Yusuke 2 Dorizzi, Bernadette 2 Dudkowski, Dawid 2 Elsadany, Abdelalim A. 2 Elsonbaty, Amr R. 2 Faranda, Davide 2 Frantzeskakis, Dimitri J. 2 Gómez-Ullate, David 2 Hagel, Johannes 2 Hövel, Philipp 2 Huang, Yaqun 2 Iarosz, Kelly C. 2 Jafari, Sajad 2 Johnson, Tomas 2 Kapitaniak, Tomasz 2 Ketzmerick, Roland 2 Kyprianidis, Ioannis M. 2 Labrunie, Simon 2 Lange, Steffen 2 Li, Biao ...and 603 more Authors all top 5 Cited in 97 Serials 55 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Nonlinear Dynamics 27 Physica D 25 Chaos, Solitons and Fractals 23 Chaos 22 Journal of Mathematical Physics 15 Celestial Mechanics and Dynamical Astronomy 14 Applied Mathematics and Computation 13 Communications in Nonlinear Science and Numerical Simulation 12 Physics Letters. A 11 Abstract and Applied Analysis 6 Journal of the Franklin Institute 6 Physica A 4 Mathematical Problems in Engineering 4 Journal of Vibration and Control 4 Journal of Applied Mathematics 4 Advances in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Journal of Difference Equations and Applications 3 Regular and Chaotic Dynamics 3 Journal of Nonlinear Mathematical Physics 3 Entropy 3 SIAM Journal on Applied Dynamical Systems 3 Advances in Difference Equations 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Journal of Statistical Physics 2 Nonlinearity 2 Physics Reports 2 Transport Theory and Statistical Physics 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Complexity 2 Journal of Dynamics and Differential Equations 2 Complexity 2 Discrete and Continuous Dynamical Systems 2 New Journal of Physics 2 International Journal of Modern Physics C 2 Dynamical Systems 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Astrophysics and Space Science 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physics of Fluids, A 1 Automatica 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Studies in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Science in China. Series A 1 Applications of Mathematics 1 Journal of Physics A: Mathematical and General 1 Journal of Nonlinear Science 1 Archives of Control Sciences 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Russian Physics Journal 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics and Computing 1 Journal of Intelligent and Fuzzy Systems 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 International Journal of Computational Intelligence and Applications 1 Communications in Theoretical Physics 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 International Journal of Structural Stability and Dynamics 1 Afrika Matematika 1 Journal of Computational Dynamics 1 Mathematics in Engineering 1 Mechanics of Solids all top 5 Cited in 42 Fields 217 Dynamical systems and ergodic theory (37-XX) 171 Ordinary differential equations (34-XX) 67 Partial differential equations (35-XX) 66 Mechanics of particles and systems (70-XX) 57 Systems theory; control (93-XX) 33 Numerical analysis (65-XX) 21 Statistical mechanics, structure of matter (82-XX) 21 Information and communication theory, circuits (94-XX) 15 Difference and functional equations (39-XX) 15 Biology and other natural sciences (92-XX) 13 Fluid mechanics (76-XX) 11 Quantum theory (81-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 4 Astronomy and astrophysics (85-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year