×

zbMATH — the first resource for mathematics

Bountis, Tassos C.

Compute Distance To:
Author ID: bountis.tassos-c Recent zbMATH articles by "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.

Publications by Year

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 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
66
2007
Chaos synchronization of two different chaotic complex Chen and Lü systems. Zbl 1170.70011
Mahmoud, Gamal M.; Bountis, Tassos; AbdEl-Latif, G. M.; Mahmoud, Emad E.
33
2009
The dynamics of systems of complex nonlinear oscillators: a review. Zbl 1091.34524
Mahmoud, Gamal M.; Bountis, Tassos
33
2004
Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method. Zbl 1117.37034
Skokos, Ch.; Bountis, T. C.; Antonopoulos, Ch.
25
2007
Interactions and stability of solitary waves in shallow water. Zbl 1068.76011
Tzirtzilakis, E.; Xenos, M.; Marinakis, V.; Bountis, T. C.
22
2002
On the integrability of systems of nonlinear ordinary differential equations with superposition principles. Zbl 0589.34040
Bountis, T. C.; Papageorgiou, V.; Winternitz, P.
22
1986
Chimera states in networks of nonlocally coupled Hindmarsh-Rose neuron models. Zbl 1296.34132
Hizanidis, Johanne; Kanas, Vasileios G.; Bezerianos, Anastasios; Bountis, Tassos
21
2014
On the complete and partial integrability of non-Hamiltonian systems. Zbl 0599.34002
Bountis, 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 1060.35127
Tzirtzilakis, E.; Marinakis, V.; Apokis, C.; Bountis, T.
19
2002
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, 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 0906.58013
Vrahatis, M. N.; Isliker, H.; Bountis, T. C.
16
1997
Mel’nikov’s function for two-dimensional mappings. Zbl 0687.58023
Glasser, M. L.; Papageorgiou, V. G.; Bountis, T. C.
14
1989
Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312
Soulis, P.; Bountis, T.; Dvorak, R.
13
2007
Dynamical properties and synchronization of complex non-linear equations for detuned lasers. Zbl 1172.34033
Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A.
12
2009
Integrability and the Painlevé property for low-dimensional systems. Zbl 0553.34032
Ramani, A.; Dorizzi, B.; Grammaticos, B.; Bountis, T.
12
1984
The stability of vertical motion in the \(N\)-body circular Sitnikov problem. Zbl 1165.70012
Bountis, T.; Papadakis, K. E.
11
2009
Periodic orbits and invariant surfaces of 4D nonlinear mappings. Zbl 0879.58027
Vrahatis, M. N.; Bountis, T. C.; Kollmann, M.
10
1996
Chaotic dynamics of \(N\)-degree of freedom Hamiltonian systems. Zbl 1140.70466
Antonopoulos, Chris; Bountis, Tassos; Skokos, Charalampos
9
2006
Period doubling bifurcations and universality in conservative systems. Zbl 1194.34060
Bountis, Tassos C.
9
1981
A probabilistic symmetric encryption scheme for very fast secure communication based on chaotic systems of difference equations. Zbl 1091.94503
Papadimitriou, S.; Bountis, T.; Mavroudi, S.; Bezerianos, A.
8
2001
Stability analysis for systems of nonlinear Hill’s equations. Zbl 1053.34518
Mahmoud, G. M.; Bountis, T.; Ahmed, S. A.
8
2000
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
8
1995
Complex Hamiltonian dynamics. With a foreword by Sergej Flach. Zbl 1248.37001
Bountis, Tassos; Skokos, Haris
7
2012
Special solutions of a new class of water wave equations. Zbl 1084.76511
Marinakis, V.; Bountis, T. C.
6
2000
Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices. Zbl 0940.82018
Bountis, T.; Capel, H. W.; Kollmann, M.; Ross, J. C.; Bergamin, J. M.
6
2000
Investigating non-integrability and chaos in complex time. Zbl 0890.58023
Bountis, Tassos
6
1995
Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices. Zbl 0541.70027
Budinsky, Nurit; Bountis, Tassos
6
1983
Quadratic vector fields equivariant under the \(D_2\) symmetry group. Zbl 1270.34067
Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos
5
2013
A method for locating symmetric homoclinic orbits using symbolic dynamics. Zbl 0988.37025
Bergamin, J. M.; Bountis, T.; Jung, C.
5
2000
On the non-integrability of a family of Duffing-van der Pol oscillators. Zbl 0822.34007
Bountis, T. C.; Drossos, L. B.; Lakshmanan, M.; Parthasarathy, S.
5
1993
What can complex time tell us about real time dynamics? Zbl 0874.58055
Bountis, Tassos C.
5
1992
On the stability of periodic orbits of two-dimensional mappings. Zbl 0472.58014
Bountis, Tassos; Helleman, Robert H. G.
5
1981
Lotka-Volterra systems satisfying a strong Painlevé property. Zbl 1366.34018
Bountis, Tassos; Vanhaecke, Pol
4
2016
Application of the GALI method to localization dynamics in nonlinear systems. Zbl 1162.65061
Bountis, T.; Manos, T.; Christodoulidi, H.
4
2009
On the connection between hyperelliptic separability and Painlevé integrability. Zbl 1156.34300
Abenda, S.; Marinakis, V.; Bountis, T.
4
2001
Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036
Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd
3
2017
Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation. Zbl 1345.35097
Bountis, Tassos; Nobre, Fernando D.
3
2016
Numerical integration of variational equations for Hamiltonian systems with long range interactions. Zbl 1336.65196
Christodoulidi, Helen; Bountis, Tassos; Drossos, Lambros
3
2016
Classification of dynamical systems based on a decomposition of their vector fields. Zbl 1260.37013
Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos
3
2012
Detecting resonances in conservative maps using evolutionary algorithms. Zbl 1227.37008
Petalas, Y. G.; Antonopoulos, C. G.; Bountis, T. C.; Vrahatis, M. N.
3
2009
On the topology of the Lü attractor and related systems. Zbl 1151.37311
Anastassiou, S.; Bountis, T.; Petalas, Y. G.
3
2008
Detecting order and chaos by the linear dependence index (LDI) method. Zbl 1265.37010
Antonopoulos, Chris; Bountis, Tassos
3
2006
Large noise level estimation. Zbl 1078.37521
Leontitsis, Alexandros; Pange, Jenny; Bountis, Tassos
3
2003
Homoclinic orbits of invertible maps. Zbl 1013.37019
Bergamin, J. M.; Bountis, T.; Vrahatis, M. N.
3
2002
Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011
Bountis, T.; Drossos, L.; Percival, I. C.
3
1991
Synchronized periodic solutions of a class of periodically driven nonlinear oscillators. Zbl 0659.70027
Mahmoud, Gamal M.; Bountis, Tassos
3
1988
On the singularity analysis of intersecting separatrices in near- integrable dynamical systems. Zbl 0613.70023
Bountis, Tassos; Papageorgiou, V.; Bier, M.
3
1987
Logarithmic singularities and chaotic behaviour in Hamiltonian systems. Zbl 0544.70028
Bountis, Tassos; Segur, Harvey
3
1982
Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931
Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros
2
2016
Complex statistics and diffusion in nonlinear disordered particle chains. Zbl 1345.37030
Antonopoulos, 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 1258.37054
Ruiz, G.; Bountis, T.; Tsallis, C.
2
2012
Synchronizing chaotic attractors of Chua’s canonical circuit. The case of uncertainty in chaos synchronization. Zbl 1160.94399
Kyprianidis, 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 1142.37375
Bountis, Tassos; Skokos, Charalampos
2
2006
A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation. Zbl 0999.35093
Bergamin, J. M.; Kamvissis, S.; Bountis, T.
2
2002
Radial basis function networks as chaotic generators for secure communication systems. Zbl 0937.37018
Papadimitriou, S.; Bezerianos, A.; Bountis, T.
2
1999
The dynamics of coupled perturbed discretized NLS equations. Zbl 0935.35155
Rothos, Vassilios M.; Bountis, Tassos C.
2
1998
A Mel’nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations. Zbl 0938.37035
Kollmann, Michael; Bountis, Tassos
2
1998
Mel’nikov analysis of phase space transport in a \(N\)-degree-of-freedom Hamiltonian system. Zbl 0895.34040
Rothos, Vassilios M.; Bountis, Tassos C.
2
1997
Evidence of a natural boundary and nonintegrability of the mixmaster universe model. Zbl 0867.34003
Bountis, T. C.; Drossos, L. B.
2
1997
Diffusion rates in a 4-dimensional mapping model of accelerator dynamics. Zbl 0820.58040
Bountis, Tassos; Kollmann, Michael
2
1994
Inductively coupled long Josephson junctions: Collective coordinate analysis and I-V characteristics. Zbl 0900.35397
Bountis, Tassos; Skiniotis, Takis
2
1993
Solving systems of nonlinear equations in \(R^ n\) using a rotating hyperplane in \(R^{n+1}\). Zbl 0704.65038
Grapsa, 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 0668.58031
Bountis, Tassos; Tsarouhas, George; Herman, Russell
2
1988
A singularity analysis of integrability and chaos in dynamical systems. Zbl 0579.58010
Bountis, Tassos C.
2
1985
Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics. Zbl 1380.82029
Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej
1
2017
Interplay between chaotic and regular motion in a time-dependent barred galaxy model. Zbl 1351.37156
Manos, T.; Bountis, T.; Skokos, Ch.
1
2013
Discrete symmetry and stability in Hamiltonian dynamics. Zbl 1248.37056
Bountis, Tassos; Chechin, George; Sakhnenko, Vladimir
1
2011
The shape of soliton-like solutions of a higher-order KdV equation describing water waves. Zbl 1362.35252
Andriopoulos, Kostis; Bountis, Tassos; Van der Weele, K.; Tsigaridi, Liana
1
2009
Theory of oligopolies: dynamics and stability of equilibria. Zbl 1265.91118
Andriopoulos, Konstantinos; Bountis, Tassos; Papadopoulos, Nikos
1
2008
Low-dimensional quasiperiodic motion in Hamiltonian systems. Zbl 1265.70018
Christodoulidi, Helen; Bountis, Tassos
1
2006
The dynamics of self-referential paradoxical games. Zbl 1060.91003
Nicolis, J. S.; Bountis, T.; Togias, K.
1
2001
Type-II internittency in a class of two coupled one-dimensional maps. Zbl 1026.37028
Laugesen, J.; Mosekilde, E.; Bountis, T.; Kuznetsov, S. P.
1
2000
The effect parametric noise on escape rates at the onset of homoclinic chaos. Zbl 0977.70019
Basios, V.; Nicolis, G.; Bountis, T.
1
1999
The second-order Mel’nikov vector. Zbl 0943.34031
Rothos, V. M.; Bountis, T. C.
1
1997
Anomalous statistics for type-III intermittency. Zbl 0892.58054
Laugesen, Jakob; Carlsson, Niklas; Mosekilde, Erik; Bountis, Tassos
1
1997
Representation of sino-atrial node dynamics by circle maps. Zbl 0877.92010
Kremmydas, G. P.; Holden, A. V.; Bezerianos, A.; Bountis, T.
1
1996
Soliton propagation in a system of two inductively coupled long Josephson junctions. Zbl 1080.82588
Skiniotis, Takis; Bountis, Tassos
1
1995
On the application of normal forms near attracting fixed points of dynamical systems. Zbl 0683.58032
Bountis, Tassos; Tsarouhas, George
1
1988
Homoclinic points of 2D and 4D maps via the parametrization method. Zbl 1381.37036
Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd
3
2017
Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics. Zbl 1380.82029
Antonopoulos, Chris G.; Skokos, Charalampos; Bountis, Tassos; Flach, Sergej
1
2017
Lotka-Volterra systems satisfying a strong Painlevé property. Zbl 1366.34018
Bountis, Tassos; Vanhaecke, Pol
4
2016
Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation. Zbl 1345.35097
Bountis, Tassos; Nobre, Fernando D.
3
2016
Numerical integration of variational equations for Hamiltonian systems with long range interactions. Zbl 1336.65196
Christodoulidi, Helen; Bountis, Tassos; Drossos, Lambros
3
2016
Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931
Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros
2
2016
Chimera states in networks of nonlocally coupled Hindmarsh-Rose neuron models. Zbl 1296.34132
Hizanidis, Johanne; Kanas, Vasileios G.; Bezerianos, Anastasios; Bountis, Tassos
21
2014
Complex statistics and diffusion in nonlinear disordered particle chains. Zbl 1345.37030
Antonopoulos, Ch. G.; Bountis, T.; Skokos, Ch.; Drossos, L.
2
2014
Quadratic vector fields equivariant under the \(D_2\) symmetry group. Zbl 1270.34067
Anastassiou, Stavros; Pnevmatikos, Spyros; Bountis, Tassos
5
2013
Interplay between chaotic and regular motion in a time-dependent barred galaxy model. Zbl 1351.37156
Manos, T.; Bountis, T.; Skokos, Ch.
1
2013
Complex Hamiltonian dynamics. With a foreword by Sergej Flach. Zbl 1248.37001
Bountis, Tassos; Skokos, Haris
7
2012
Classification of dynamical systems based on a decomposition of their vector fields. Zbl 1260.37013
Anastassiou, 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 1258.37054
Ruiz, G.; Bountis, T.; Tsallis, C.
2
2012
Discrete symmetry and stability in Hamiltonian dynamics. Zbl 1248.37056
Bountis, Tassos; Chechin, George; Sakhnenko, Vladimir
1
2011
Chaos synchronization of two different chaotic complex Chen and Lü systems. Zbl 1170.70011
Mahmoud, 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 1172.34033
Mahmoud, 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 1165.70012
Bountis, T.; Papadakis, K. E.
11
2009
Application of the GALI method to localization dynamics in nonlinear systems. Zbl 1162.65061
Bountis, T.; Manos, T.; Christodoulidi, H.
4
2009
Detecting resonances in conservative maps using evolutionary algorithms. Zbl 1227.37008
Petalas, 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 1362.35252
Andriopoulos, Kostis; Bountis, Tassos; Van der Weele, K.; Tsigaridi, Liana
1
2009
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
18
2008
On the topology of the Lü attractor and related systems. Zbl 1151.37311
Anastassiou, S.; Bountis, T.; Petalas, Y. G.
3
2008
Theory of oligopolies: dynamics and stability of equilibria. Zbl 1265.91118
Andriopoulos, Konstantinos; Bountis, Tassos; Papadopoulos, Nikos
1
2008
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
66
2007
Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method. Zbl 1117.37034
Skokos, Ch.; Bountis, T. C.; Antonopoulos, Ch.
25
2007
Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312
Soulis, P.; Bountis, T.; Dvorak, R.
13
2007
Chaotic dynamics of \(N\)-degree of freedom Hamiltonian systems. Zbl 1140.70466
Antonopoulos, Chris; Bountis, Tassos; Skokos, Charalampos
9
2006
Detecting order and chaos by the linear dependence index (LDI) method. Zbl 1265.37010
Antonopoulos, Chris; Bountis, Tassos
3
2006
Synchronizing chaotic attractors of Chua’s canonical circuit. The case of uncertainty in chaos synchronization. Zbl 1160.94399
Kyprianidis, 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 1142.37375
Bountis, Tassos; Skokos, Charalampos
2
2006
Low-dimensional quasiperiodic motion in Hamiltonian systems. Zbl 1265.70018
Christodoulidi, Helen; Bountis, Tassos
1
2006
The dynamics of systems of complex nonlinear oscillators: a review. Zbl 1091.34524
Mahmoud, Gamal M.; Bountis, Tassos
33
2004
Large noise level estimation. Zbl 1078.37521
Leontitsis, Alexandros; Pange, Jenny; Bountis, Tassos
3
2003
Interactions and stability of solitary waves in shallow water. Zbl 1068.76011
Tzirtzilakis, 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 1060.35127
Tzirtzilakis, E.; Marinakis, V.; Apokis, C.; Bountis, T.
19
2002
Homoclinic orbits of invertible maps. Zbl 1013.37019
Bergamin, J. M.; Bountis, T.; Vrahatis, M. N.
3
2002
A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation. Zbl 0999.35093
Bergamin, 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 1091.94503
Papadimitriou, S.; Bountis, T.; Mavroudi, S.; Bezerianos, A.
8
2001
On the connection between hyperelliptic separability and Painlevé integrability. Zbl 1156.34300
Abenda, S.; Marinakis, V.; Bountis, T.
4
2001
The dynamics of self-referential paradoxical games. Zbl 1060.91003
Nicolis, J. S.; Bountis, T.; Togias, K.
1
2001
Stability analysis for systems of nonlinear Hill’s equations. Zbl 1053.34518
Mahmoud, G. M.; Bountis, T.; Ahmed, S. A.
8
2000
Special solutions of a new class of water wave equations. Zbl 1084.76511
Marinakis, V.; Bountis, T. C.
6
2000
Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices. Zbl 0940.82018
Bountis, 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 0988.37025
Bergamin, J. M.; Bountis, T.; Jung, C.
5
2000
Type-II internittency in a class of two coupled one-dimensional maps. Zbl 1026.37028
Laugesen, J.; Mosekilde, E.; Bountis, T.; Kuznetsov, S. P.
1
2000
Radial basis function networks as chaotic generators for secure communication systems. Zbl 0937.37018
Papadimitriou, S.; Bezerianos, A.; Bountis, T.
2
1999
The effect parametric noise on escape rates at the onset of homoclinic chaos. Zbl 0977.70019
Basios, V.; Nicolis, G.; Bountis, T.
1
1999
The dynamics of coupled perturbed discretized NLS equations. Zbl 0935.35155
Rothos, Vassilios M.; Bountis, Tassos C.
2
1998
A Mel’nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations. Zbl 0938.37035
Kollmann, Michael; Bountis, Tassos
2
1998
Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics. Zbl 0906.58013
Vrahatis, 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 0895.34040
Rothos, Vassilios M.; Bountis, Tassos C.
2
1997
Evidence of a natural boundary and nonintegrability of the mixmaster universe model. Zbl 0867.34003
Bountis, T. C.; Drossos, L. B.
2
1997
The second-order Mel’nikov vector. Zbl 0943.34031
Rothos, V. M.; Bountis, T. C.
1
1997
Anomalous statistics for type-III intermittency. Zbl 0892.58054
Laugesen, Jakob; Carlsson, Niklas; Mosekilde, Erik; Bountis, Tassos
1
1997
Periodic orbits and invariant surfaces of 4D nonlinear mappings. Zbl 0879.58027
Vrahatis, M. N.; Bountis, T. C.; Kollmann, M.
10
1996
Representation of sino-atrial node dynamics by circle maps. Zbl 0877.92010
Kremmydas, G. P.; Holden, A. V.; Bezerianos, A.; Bountis, T.
1
1996
A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506
Bountis, T.; Goriely, A.; Kollmann, M.
8
1995
Investigating non-integrability and chaos in complex time. Zbl 0890.58023
Bountis, Tassos
6
1995
Soliton propagation in a system of two inductively coupled long Josephson junctions. Zbl 1080.82588
Skiniotis, Takis; Bountis, Tassos
1
1995
Diffusion rates in a 4-dimensional mapping model of accelerator dynamics. Zbl 0820.58040
Bountis, Tassos; Kollmann, Michael
2
1994
On the non-integrability of a family of Duffing-van der Pol oscillators. Zbl 0822.34007
Bountis, T. C.; Drossos, L. B.; Lakshmanan, M.; Parthasarathy, S.
5
1993
Inductively coupled long Josephson junctions: Collective coordinate analysis and I-V characteristics. Zbl 0900.35397
Bountis, Tassos; Skiniotis, Takis
2
1993
What can complex time tell us about real time dynamics? Zbl 0874.58055
Bountis, Tassos C.
5
1992
Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011
Bountis, 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 0704.65038
Grapsa, T. N.; Vrahatis, M. N.; Bountis, T. C.
2
1990
Mel’nikov’s function for two-dimensional mappings. Zbl 0687.58023
Glasser, M. L.; Papageorgiou, V. G.; Bountis, T. C.
14
1989
Synchronized periodic solutions of a class of periodically driven nonlinear oscillators. Zbl 0659.70027
Mahmoud, Gamal M.; Bountis, Tassos
3
1988
Normal form solutions of dynamical systems in the basin of attraction of their fixed points. Zbl 0668.58031
Bountis, Tassos; Tsarouhas, George; Herman, Russell
2
1988
On the application of normal forms near attracting fixed points of dynamical systems. Zbl 0683.58032
Bountis, Tassos; Tsarouhas, George
1
1988
On the singularity analysis of intersecting separatrices in near- integrable dynamical systems. Zbl 0613.70023
Bountis, Tassos; Papageorgiou, V.; Bier, M.
3
1987
On the integrability of systems of nonlinear ordinary differential equations with superposition principles. Zbl 0589.34040
Bountis, T. C.; Papageorgiou, V.; Winternitz, P.
22
1986
A singularity analysis of integrability and chaos in dynamical systems. Zbl 0579.58010
Bountis, Tassos C.
2
1985
On the complete and partial integrability of non-Hamiltonian systems. Zbl 0599.34002
Bountis, T. C.; Ramani, A.; Grammaticos, B.; Dorizzi, B.
20
1984
Integrability and the Painlevé property for low-dimensional systems. Zbl 0553.34032
Ramani, A.; Dorizzi, B.; Grammaticos, B.; Bountis, T.
12
1984
Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices. Zbl 0541.70027
Budinsky, Nurit; Bountis, Tassos
6
1983
Logarithmic singularities and chaotic behaviour in Hamiltonian systems. Zbl 0544.70028
Bountis, Tassos; Segur, Harvey
3
1982
Period doubling bifurcations and universality in conservative systems. Zbl 1194.34060
Bountis, Tassos C.
9
1981
On the stability of periodic orbits of two-dimensional mappings. Zbl 0472.58014
Bountis, Tassos; Helleman, Robert H. G.
5
1981
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