Anastasios Bountis
Anastasios (Tassos) Bountis was Professor at the Department of Mathematics, University of Patras, from 1990 until 2016, when he became Professor of Mathematics at the Nazarbayev University. He has been the director of the Center for Research and Application of Nonlinear Systems of the University of Patras, and the Laboratory of Nonlinear Systems and Applied Analysis, of its Department of mathematics with webpage http://www.math.upatras.gr/~crans. In 2014 he was elected Corresponding Member of the Academy of Athens in the chair of complex systems. He was the recipient of the 2014 Charles Hermite Science Ambassador Award of Saar/Germany and the 2009 Academy of Athens Award for “Dynamical Systems”. In 2015 he was elected member of the European Academy of Science and Arts, at Salzburg, Austria.
He obtained his Ph.D. degree in Physics from the University of Rochester, N.Y., in 1978, and has worked at CalTech in 1979 and as Assistant and Associate Professor at Clarkson University in the U.S.A. until 1985. He has been invited lecturer and researcher in several countries in Europe, Mexico, India, Japan, Brazil, New Zealand, Australia and South Korea. His research has been supported by many U.S., European and Greek grants, most recently (2010 – 2012) by an ERA-Complexity NET project, called “Complex Matter” involving the University of Patras and 3 other European Universities (125000 euro) and a “Thalis” project on the Mathematical Modeling of Complex Systems 2012 – 2015 (600000 euro). After his arrival at Nazarbayev University he obtained the research grant:
2017 – 2020: P.I. of ORAU project entitled “Taming Chimeras to Achieve the Superradiant Emitter”, at School of Science and Technology, funded by Nazarbayev University, Astana, Kazakhstan.
He has organized in 5 international conferences, 25 summer schools on “Nonlinear Dynamics and Complexity” and 5 International PhD Schools on “Mathematical Modeling of Complex Systems”, 2011 at Patras, and July 2012 at Pescara, Italy, 2013 in Crete, 2014 in Athens and 2015 at Patras. He has authored 5 books in Greek on dynamical systems and fractals and one in English on “Complex Hamiltonian Dynamics” (Springer Synergetics, 2012). He has edited (or co-edited) 7 volumes of international conference proceedings and 10 volumes of Greek conference proceedings. He has supervised 20 M.Sc. theses and 16 Ph.D. theses and is on the Editorial Board of 5 International Journals. He has published 144 papers in refereed journals and 55 in conference proceeding, and has nearly 4000 citations (excluding those by himself and co-authors), h-index: 35, g-index: 63
Kominis, Y., Kovanis, V., Bountis, T., 2018 2018 Conference on Lasers and Electro-Optics, CLEO 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc.,
Optical meta-molecules for non-hermitian photonics
Kominis, Y., Kovanis, V., Bountis, T., 2018 2018 Conference on Lasers and Electro-Optics, CLEO 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc.,
Ten-fold enhancement in the small signal modulation of differentially pumped coupled quantum well lasers
Kominis, Y., Kovanis, V., Bountis, T., 2018 CLEO. OSA - The Optical Society, Part F92-CLEO_AT 2018,
Optical meta-molecules for non-hermitian photonics
Kominis, Y., Kovanis, V., Bountis, T., 2018 CLEO. OSA - The Optical Society, Part F92-CLEO_AT 2018,
Corrigendum to “Lotka–Volterra systems satisfying a strong Painlevé property” [Phys. Lett. A 380 (47) (2016) 3977–3982](S0375960116309963)(10.1016/j.physleta.2016.09.034)
Bountis, T., Vanhaecke, P., 2017 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 381, 45,
Spectral signatures of exceptional points and bifurcations in the fundamental active photonic dimer
Kominis, Y., Kovanis, V., Bountis, T., 2017 In : Physical Review A. 96, 5,
Spectral signatures of exceptional points and bifurcations in the fundamental active photonic dimer
Kominis, Y., Kovanis, V., Bountis, T., 2017 In : Physical Review A. 96, 5,
Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statistics
Antonopoulos, C., Skokos, C., Bountis, T., Flach, S., 2017 In : Chaos, Solitons and Fractals. 104, p. 129-134
Homoclinic points of 2D and 4D maps via the parametrization method
Anastassiou, S., Bountis, T., Backer, A., 2017 In : Nonlinearity. 30, 10, p. 3799-3820
Fractal analysis of tree paintings by Piet Mondrian (1872-1944)
Bountis, T., Fokas, A., Psarakis, E., 2017 In : International Journal of Arts and Technology. 10, 1, p. 27-42
Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers
Bountis, A., Flach, S., Kominis, Y., 2017 In : Physical Review A - Atomic, Molecular, and Optical Physics. 95, p. 063832
Spectral Transitions, Exceptional Points and Bifurcations of the Fundamental Active Photonic Dimer
Bountis, A., Kovanis, V., Kominis, Y., 2017 In : Physical Review A - Atomic, Molecular, and Optical Physics. 96, p. 053837
Controllable Asymmetric Phase-Locked States of the Fundamental Active Photonic Dimer
Bountis, A., Kovanis, V., Kominis, Y., 2017 In : Physical Review A - Atomic, Molecular, and Optical Physics. 96, p. 043836
Lotka–Volterra systems satisfying a strong Painlevé property
Bountis, T., Vanhaecke, P., 2016 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 380, 47, p. 3977-3982
The Asymmetric Active Coupler: Stable Nonlinear Supermodes and Directed Transport
Kominis, Y., Bountis, T., Flach, S., 2016 In : Scientific Reports. 6,
The science of complexity and the role of mathematics
Bountis, T., Johnson, J., Provata, A., Tsironis, G., 2016 In : European Physical Journal: Special Topics. 225, 6-7, p. 883-890
From mechanical to biological oscillator networks: The role of long range interactions
Bountis, T., 2016 In : European Physical Journal: Special Topics. 225, 6-7, p. 1017-1035
Dynamical complexity in the C.elegans neural network
Antonopoulos, C., Fokas, A., Bountis, T., 2016 In : European Physical Journal: Special Topics. 225, 6-7, p. 1255-1269
Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation
Bountis, T., Nobre, F., 2016 In : Journal of Mathematical Physics. 57, 8,
Numerical integration of variational equations for Hamiltonian systems with long range interactions
Christodoulidi, H., Bountis, T., Drossos, L., 2016 In : Applied Numerical Mathematics. 104, p. 158-165
Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices
Antonopoulos, C., Bountis, T., Drossos, L., 2016 In : Applied Numerical Mathematics. 104, p. 110-119
Prediction of individual implant bone levels and the existence of implant "phenotypes"
Papantonopoulos, G., Gogos, C., Housos, E., Bountis, T., Loos, B., 2016 In : Clinical Oral Implants Research.
Peri-implantitis: A complex condition with non-linear characteristics
Papantonopoulos, G., Gogos, C., Housos, E., Bountis, T., Loos, B., 2015 In : Journal of Clinical Periodontology. 42, 8, p. 789-798
Complex aspects in hamiltonian dynamics and statistics
Bountis, T., Christodoulidi, H., 2015 In : Nonlinear Phenomena in Complex Systems. 18, 3, p. 288-302
Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics
Christodoulidi, H., Tsallis, C., Bountis, T., 2014 In : EPL. 108, 4,
Evidence of q-exponential statistics in Greek seismicity
Antonopoulos, C., Michas, G., Vallianatos, F., Bountis, T., 2014 In : Physica A: Statistical Mechanics and its Applications. 409, p. 71-77
Artificial neural networks for the diagnosis of aggressive periodontitis trained by immunologic parameters
Papantonopoulos, G., Takahashi, K., Bountis, T., Loos, B., 2014 In : PLoS One. 9, 3,
Phase transitions in models of bird flocking
Christodoulidi, H., Van Der Weele, K., Antonopoulos, C., Bountis, T., 2014 Chaos, Information Processing and Paradoxical Games: The Legacy of John S. Nicolis. World Scientific Publishing Co., p. 383-398
Existence and control of chimera states in networks of nonlocally coupled models of neuron oscillators
Hizanidis, J., Kanas, V., Bezerianos, A., Bountis, T., 2014 2014 13th International Conference on Control Automation Robotics and Vision, ICARCV 2014. Institute of Electrical and Electronics Engineers Inc., p. 243-246
Complex statistics and diffusion in nonlinear disordered particle chains
Antonopoulos, C., Bountis, T., Skokos, C., Drossos, L., 2014 In : Chaos. 24, 2,
Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models
Hizanidis, J., Kanas, V., Bezerianos, A., Bountis, T., 2014 In : International Journal of Bifurcation and Chaos. 24, 3,
Chimera states in a two-population network of coupled pendulum-like elements
Bountis, T., Kanas, V., Hizanidis, J., Bezerianos, A., 2014 In : European Physical Journal: Special Topics. 223, 4, p. 721-728
Stability and dynamics of nonautonomous systems with pulsed nonlinearity
Kominis, Y., Bountis, T., 2013 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 88, 4,
Mathematical modeling suggests that periodontitis behaves as a non-linear chaotic dynamical process
Papantonopoulos, G., Takahashi, K., Bountis, T., Loos, B., 2013 In : Journal of Periodontology. 84, 10,
Aggressive periodontitis defined by recursive partitioning analysis of immunologic factors
Papantonopoulos, G., Takahashi, K., Bountis, T., Loos, B., 2013 In : Journal of Periodontology. 84, 7, p. 974-984
Interplay between chaotic and regular motion in a time-dependent barred galaxy model
Manos, T., Bountis, T., Skokos, C., 2013 In : Journal of Physics A: Mathematical and Theoretical. 46, 25,
Using cellular automata experiments to model periodontitis
Papantonopoulos, G., Takahashi, K., Bountis, T., Loos, B., 2013 In : International Journal of Bifurcation and Chaos. 23, 3,
Quadratic vector fields equivariant under the D2 symmetry group
Anastassiou, S., Pnevmatikos, S., Bountis, T., 2013 In : International Journal of Bifurcation and Chaos. 23, 1,
Classification of dynamical systems based on a decomposition of their vector fields
Anastassiou, S., Pnevmatikos, S., Bountis, T., 2012 In : Journal of Differential Equations. 253, 7, p. 2252-2262
Time-evolving statistics of chaotic orbits of conservative maps in the context of the central limit theorem
Ruiz, G., Bountis, T., Tsallis, C., 2012 In : International Journal of Bifurcation and Chaos. 22, 9,
Complex statistics in Hamiltonian barred galaxy models
Bountis, T., Manos, T., Antonopoulos, C., 2012 In : Celestial Mechanics and Dynamical Astronomy. 113, 1, p. 63-80
Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems
Antonopoulos, C., Bountis, T., Basios, V., 2011 In : Physica A: Statistical Mechanics and its Applications. 390, 20, p. 3290-3307
Discrete symmetry and stability in hamiltonian dynamics
Bountis, T., Chechin, G., Sakhnenko, V., 2011 In : International Journal of Bifurcation and Chaos. 21, 6, p. 1539-1582
Discrete-time dynamics of an oligopoly model with differentiated goods
Andriopoulos, K., Bountis, T., Dimas, S., 2011 Nonlinear Economic Dynamics. Nova Science Publishers, Inc., p. 277-286
Model reduction of a higher-order KdV equation for shallow water waves
Bountis, T., Van Der Weele, K., Kanellopoulos, G., Andriopoulos, K., 2011 Coping with Complexity: Model Reduction and Data Analysis. 75 LNCSE, p. 287-298
Breathers in a nonautonomous Toda lattice with pulsating coupling
Kominis, Y., Bountis, T., Hizanidis, K., 2010 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81, 6,
Analytical solutions of systems with piecewise linear dynamics
Kominis, Y., Bountis, T., 2010 In : International Journal of Bifurcation and Chaos. 20, 2, p. 509-518
Weak chaos and the "melting transition" in a confined microplasma system
Antonopoulos, C., Basios, V., Bountis, T., 2010 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81, 1,
Energy localization on q -tori, long-term stability, and the interpretation of Fermi-Pasta-Ulam recurrences
Christodoulidi, H., Efthymiopoulos, C., Bountis, T., 2010 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81, 1,
The shape of soliton-like solutions of a higher-order KdV equation describing water waves
Andriopoulos, K., Bountis, T., Van Der Weele, K., Tsigaridi, L., 2009 In : Journal of Nonlinear Mathematical Physics. 16, SUPPL. 1, p. 1-12
The stability of vertical motion in the N-body circular Sitnikov problem
Bountis, T., Papadakis, K., 2009 In : Celestial Mechanics and Dynamical Astronomy. 104, 1-2, p. 205-225
Application of the GALI method to localization dynamics in nonlinear systems
Bountis, T., Manos, T., Christodoulidi, H., 2009 In : Journal of Computational and Applied Mathematics. 227, 1, p. 17-26
Dynamical properties and synchronization of complex non-linear equations for detuned lasers
M. Mahmoud, G., Bountis, T., Al-Kashif, M., Aly, S., 2009 In : Dynamical Systems. 24, 1, p. 63-79
Detecting resonances in conservative maps using evolutionary algorithms
Petalas, Y., Antonopoulos, C., Bountis, T., Vrahatis, M., 2009 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 373, 3, p. 334-341
Global dynamics of coupled standard maps
Manos, T., Skokos, C., Bountis, T., 2009 In : Astrophysics and Space Science Proceedings. 202449, p. 367-371
Chaos synchronization of two different chaotic complex Chen and Lü systems
Mahmoud, G., Bountis, T., Abdel-Latif, G., Mahmoud, E., 2009 In : Nonlinear Dynamics. 55, 1-2, p. 43-53
Dynamics of a Duopoly Model with Periodic Driving
Bountis, A., Andriopoulos, K., 2008 LET’S FACE CHAOS THROUGH NONLINEAR DYNAMICS. AIP Conference Proceedings, 1076,
Evolutionary methods for the approximation of the stability domain and frequency optimization of conservative maps
Petalas, Y., Antonopoulos, C., Bountis, T., Vrahatis, M., 2008 In : International Journal of Bifurcation and Chaos. 18, 8, p. 2249-2264
Periodic orbits and bifurcations in the Sitnikov four-body problem
Soulis, P., Papadakis, K., Bountis, T., 2008 In : Celestial Mechanics and Dynamical Astronomy. 100, 4, p. 251-266
On the topology of the Lü attractor and related systems
Anastassiou, S., Bountis, T., Petalas, Y., 2008 In : Journal of Physics A: Mathematical and Theoretical. 41, 48,
Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi - Pasta - Ulam lattices by the generalized alignment index method
Skokos, C., Bountis, T., Antonopoulos, C., 2008 In : European Physical Journal: Special Topics. 165, 1, p. 5-14
Active control and global synchronization of the complex chen and Lü systems
Mahmoud, G., Bountis, T., Mahmoud, E., 2007 In : International Journal of Bifurcation and Chaos. 17, 12, p. 4295-4308
Stability of motion in the Sitnikov 3-body problem
Soulis, P., Bountis, T., Dvorak, R., 2007 In : Celestial Mechanics and Dynamical Astronomy. 99, 2, p. 129-148
Geometrical properties of local dynamics in Hamiltonian systems: The Generalized Alignment Index (GALI) method
Skokos, C., Bountis, T., Antonopoulos, C., 2007 In : Physica D: Nonlinear Phenomena. 231, 1, p. 30-54
Space charges can significantly affect the dynamics of accelerator maps
Bountis, T., Skokos, C., 2006 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 358, 2, p. 126-133
Long-range correlations of RNA polymerase II promoter sequences across organisms
Katsaloulis, P., Theoharis, T., Zheng, W., Hao, B., Bountis, A., Almirantis, Y., Provata, A., 2006 In : Physica A: Statistical Mechanics and its Applications. 366, p. 308-322
Synchronizing chaotic attractors of Chua's canonical circuit. The case of uncertainty in chaos synchronization
Kyprianidis, I., Bogiatzi, A., Papadopoulou, M., Stouboulos, I., Bogiatzis, G., Bountis, T., 2006 In : International Journal of Bifurcation and Chaos. 16, 7, p. 1961-1976
Application of the SALI chaos detection method to accelerator mappings
Bountis, T., Skokos, C., 2006 In : Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 561, 2, p. 173-179
International Journal of Bifurication and Chaos: Editorial
Bountis, T., Casati, G., Procaccia, I., 2006 In : International Journal of Bifurcation and Chaos. 16, 6, p. 1609-1612
Chaotic dynamics of N-degree of freedom hamiltonian systems
Antonopoulos, C., Bountis, T., Skokos, C., 2006 In : International Journal of Bifurcation and Chaos. 16, 6, p. 1777-1793
Stability of simple periodic orbits and chaos in a Fermi-Pasta-Ulam lattice
Antonopoulos, C., Bountis, T., 2006 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 73, 5,
Quasiperiodic and chaotic discrete breathers in a parametrically driven system without linear dispersion
Maniadis, P., Bountis, T., 2006 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 73, 4,
The dynamics of systems of complex nonlinear oscillators: A review
Mahmoud, G., Bountis, T., 2004 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 14, 11, p. 3821-3846
Existence and stability of localized oscillations in 1-dimensional lattices with soft-spring and hard-spring potentials
Panagopoulos, P., Bountis, T., Skokos, C., 2004 In : Journal of Vibration and Acoustics, Transactions of the ASME. 126, 4, p. 520-527
Detecting order and chaos in Hamiltonian systems by the SALI method
Skokos, C., Antonopoulos, C., Bountis, T., Vrahatis, M., 2004 In : Journal of Physics A: Mathematical and General. 37, 24, p. 6269-6284
Explicit construction of first integrals with quasi-monomial terms from the Painlevé series
Efthymiopoulos, C., Bountis, T., Manos, T., 2004 In : Regular and Chaotic Dynamics. 9, 3, p. 385-398
An adaptive way for improving noise reduction using local geometric projection
Leontitsis, A., Bountis, T., Pagge, J., 2004 In : Chaos. 14, 1, p. 106-110
Large noise level estimation
Leontitsis, A., Pange, J., Bountis, T., 2003 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 13, 8, p. 2309-2313
How Does the Smaller Alignment Index (SALI) Distinguish Order from Chaos?
Skokos, C., Antonopoulos, C., Bountis, T., Vrahatis, M., 2003 In : Progress of Theoretical Physics Supplement. 150, p. 439-443
Discrete Breathers and Homoclinic Dynamics
Bergamin, J., Bountis, T., 2003 In : Progress of Theoretical Physics Supplement. 150, p. 330-333
Soliton-like solutions of higher order wave equations of the Korteweg-de Vries type
Tzirtzilakis, E., Marinakis, V., Apokis, C., Bountis, T., 2002 In : Journal of Mathematical Physics. 43, 12, p. 6151-6165
A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation
Bergamin, J., Kamvissis, S., Bountis, T., 2002 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 304, 3-4, p. 85-94
Homoclinic orbits of invertible maps
Bergamin, J., Bountis, T., Vrahatis, M., 2002 In : Nonlinearity. 15, 5, p. 1603-1619
Interactions and stability of solitary waves in shallow water
Tzirtzilakis, E., Xenos, M., Marinakis, V., Bountis, T., 2002 In : Chaos, Solitons and Fractals. 14, 1, p. 87-95
Stabilization of discrete breathers using continuous feedback control
Bountis, T., Bergamin, J., Basios, V., 2002 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 295, 2-3, p. 115-120
The dynamics of self-referential paradoxical games
Nicolis, J., Bountis, T., Togias, K., 2001 In : Dynamical Systems. 16, 4, p. 319-332
A probabilistic symmetric encryption scheme for very fast secure communication based on chaotic systems of difference equations
Papadimitriou, S., Bountis, T., Mavroudi, S., Bezerianos, A., 2001 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 11, 12, p. 3107-3115
On the connection between hyperelliptic separability and Painlevé integrability
Abenda, S., Marinakis, V., Bountis, T., 2001 In : Journal of Physics A: Mathematical and General. 34, 17, p. 3521-3539
Secure communication protocols with discrete nonlinear chaotic maps
Papadimitriou, S., Bezerianos, A., Bountis, T., Pavlides, G., 2001 In : Journal of Systems Architecture. 47, 1, p. 61-72
A method for locating symmetric homoclinic orbits using symbolic dynamics
Bergamin, J., Bountis, T., Jung, C., 2000 In : Journal of Physics A: Mathematical and General. 33, 45, p. 8059-8070
Stability analysis for systems of nonlinear Hill's equations
Mahmoud, G., Bountis, T., Ahmed, S., 2000 In : Physica A: Statistical Mechanics and its Applications. 286, 1, p. 133-146
Antimonotonicity and chaotic dynamics in a fourth-order autonomous nonlinear electric circuit
Kyprianidis, I., Stouboulos, I., Haralabidis, P., Bountis, T., 2000 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 10, 8, p. 1903-1915
Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices
Bountis, T., Capel, H., Kollmann, M., Ross, J., Bergamin, J., Van Der Weele, J., 2000 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 268, 1-2, p. 50-60
Stationary pulses and wave front formation in an excitable medium
Bountis, T., Starmer, C., Bezerianos, A., 2000 In : Progress of Theoretical Physics Supplement. 139, p. 12-33
Nonlinear analysis and forecasting of a brackish karstic spring
Lambrakis, N., Andreou, A., Polydoropoulos, P., Georgopoulos, E., Bountis, T., 2000 In : Water Resources Research. 36, 4, p. 875-884
Controlling the onset of homoclinic chaos due to parametric noise
Basios, V., Bountis, T., Nicolis, G., 1999 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 251, 4, p. 250-258
Radial basis function networks as chaotic generators for secure communication systems
Papadimitriou, S., Bezerianos, A., Bountis, T., 1999 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 9, 1, p. 221-232
Protocols for secure communications with discrete nonlinear chaotic maps
Bezerianos, A., Bountis, T., Papadimitriou, S., Pavlides, G., 1999 Computer and Computational Engineering in Control. World Scientific and Engineering Academy and Society, p. 215-219
Breathers and multibreathers in a periodically driven damped discrete nonlinear Schrödinger equation
Kollmann, M., Capel, H., Bountis, T., 1999 In : Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60, 2 B, p. 1195-1211
The dynamics of coupled perturbed discretized NLS equations
Rothos, V., Bountis, T., 1998 In : Physica D: Nonlinear Phenomena. 113, 2-4, p. 326-330
Quantitative evaluation of heart rate variability associated with autonomic nervous system dysfunction/blockade
Bezerianos, A., Cimponeriu, L., Polydoropoulos, P., Alexopoulos, D., Bountis, T., 1998 In : Computers in Cardiology. 0, 0, p. 369-372
Finitely and infinitely sheeted solutions in some classes of nonlinear odes
Marinakis, V., Bountis, T., Abenda, S., 1998 In : Regular and Chaotic Dynamics. 3, 4, p. 63-73
A Mel'nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations
Kollmann, M., Bountis, T., 1998 In : Physica D: Nonlinear Phenomena. 113, 2-4, p. 397-406
Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics
Vrahatis, M., Isliker, H., Bountis, T., 1997 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 7, 12, p. 2707-2722
Mel'nikov analysis of phase space transport in a N-degree-of-freedom Hamiltonian system
Rothos, V., Bountis, T., 1997 In : Nonlinear Analysis, Theory, Methods and Applications. 30, 3, p. 1365-1374
Evidence of a Natural Boundary and Nonintegrability of the Mixmaster Universe Model
Bountis, T., Drossos, L., 1997 In : Journal of Nonlinear Science. 7, 1, p. 45-55
Strategy for the pursuit of spiral waves in excitable media
Kremmydas, G., Bezerianos, A., Bountis, T., 1997 Medical Informatics Europe 1997, MIE 1997. 43, p. 576-580
Secure communication with chaotic systems of difference equations
Papadimitriou, S., Bezerianos, A., Bountis, T., 1997 In : IEEE Transactions on Computers. 46, 1, p. 27-38
Fundamental concepts of classical chaos. Part II: Fractals and chaotic dynamics
Bountis, T., 1997 In : Open Systems and Information Dynamics. 4, 3, p. 281-322
A study of pharmacological vs. pathological autonomic nervous system blockade in humans, using heart rate chaotic dynamics
Polydoropoulos, P., Bountis, T., Christodoulou, J., Alexopoulos, D., Bezerianos, A., 1997 Medical Informatics Europe 1997, MIE 1997. 43, p. 571-575
Anomalous statistics for type-III intermittency
Laugesen, J., Carlsson, N., Mosekilde, E., Bountis, T., 1997 In : Open Systems and Information Dynamics. 4, 4, p. 393-405
Representation of sino-atrial node dynamics by circle maps
Kremmydas, G., Holden, A., Bezerianos, A., Bountis, T., 1996 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6, 10, p. 1799-1805
Periodic orbits and invariant surfaces of 4D nonlinear mappings
Vrahatis, M., Bountis, T., Kollmann, M., 1996 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 6, 8, p. 1425-1437
Order and the ubiquitous occurrence of chaos
Fokas, A., Bountis, T., 1996 In : Physica A: Statistical Mechanics and its Applications. 228, 1-4, p. 236-244
Method for computing long periodic orbits of dynamical systems
Drossos, L., Ragos, O., Vrahatis, M., Bountis, T., 1996 In : Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 53, 1 SUPPL. B, p. 1206-1211
On the analytic structure of two-degree-of-freedom Hamiltonian systems around an elliptic fixed point
Bountis, T., Rothos, V., 1996 In : Nonlinearity. 9, 4, p. 877-886
Chaotic real-time encryption using systems of difference equations with large parameter spaces
Papadimitriou, S., Bezerianos, A., Bountis, T., 1996 IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP. IEEE, p. 566-569
Synchronization in parametrically driven Hamiltonian systems
Mahmoud, G., Bountis, T., Turchetti, G., 1995 In : Il Nuovo Cimento B Series 11. 110, 11, p. 1311-1322
A Mel'nikov vector for N-dimensional mappings
Bountis, T., Goriely, A., Kollmann, M., 1995 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 206, 1-2, p. 38-48
Investigating non-integrability and chaos in complex time
Bountis, T., 1995 In : Physica D: Nonlinear Phenomena. 86, 1-2, p. 256-267
Fundamental concepts of classical chaos I
Bountis, T., 1995 In : Open Systems and Information Dynamics. 3, 1, p. 23-95
Soliton propagation in a system of two inductively coupled long Josephson junctions
Skiniotis, T., Bountis, T., 1995 In : Chaos, Solitons and Fractals. 5, 12, p. 2571-2584
Nonlinear time series analysis of electrocardiograms
Bezerianos, A., Bountis, T., Papaioannou, G., Polydoropoulos, P., 1995 In : Chaos. 5, 1, p. 95-101
2D universality of period-doubling bifurcations in 3D conservative reversible mappings
Komineas, S., Vrahatis, M., Bountis, T., 1994 In : Physica A: Statistical Mechanics and its Applications. 211, 2-3, p. 218-233
Impurity effects in a double sine-Gordon equation
Pavlopoulos, T., Bountis, T., 1994 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 192, 2-4, p. 215-221
Diffusion rates in a 4-dimensional mapping model of accelerator dynamics
Bountis, T., Kollmann, M., 1994 In : Physica D: Nonlinear Phenomena. 71, 1-2, p. 122-131
On the non-integrability of a family of Duffing-van der Pol oscillators
Bountis, T., Drossos, L., Lakshmanan, M., Parthasarathy, S., 1993 In : Journal of Physics A: Mathematical and General. 26, 23, p. 6927-6942
On nonintegrable systems with square root singularities in complex time
Bountis, T., Drossos, L., Percival, I., 1991 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 159, 1-2, p. 1-5
Non-integrable systems with algebraic singularities in complex time
Bountis, T., Drossos, L., Percival, I., 1991 In : Journal of Physics A: Mathematical and General. 24, 14, p. 3217-3236
Algebraic escape in higher dimensional Hamiltonian systems
Ding, M., Bountis, T., Ott, E., 1990 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 151, 8, p. 395-400
Chaos in nonlinear paradoxical games
Drossos, L., Bountis, T., Nicolis, J., 1990 In : Il Nuovo Cimento D. 12, 6, p. 875
Chaos in nonlinear paradoxical games
Drossos, L., Bountis, T., Nicolis, J., 1990 In : Il Nuovo Cimento D. 12, 2, p. 155-176
Period-doubling bifurcations in measure-preserving flows
Bountis, T., Drossos, L., 1990 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 143, 8, p. 379-383
Josephson junction dynamics in the presence of inhomogeneities
Bountis, T., Pnevmatikos, S., 1990 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 143, 4-5, p. 221-226
Solving systems of nonlinear equations in rn using a rotating hyperplane in rn+1
Grapsa, T., Vrahatis, M., Bountis, T., 1990 In : International Journal of Computer Mathematics. 35, 1-4, p. 133-151
A convergence-improving iterative method for computing periodic orbits near Bifurcation Points
Vrahatis, M., Bountis, T., Budinsky, N., 1990 In : Journal of Computational Physics. 88, 1, p. 1-14
Is the Hamiltonian {Mathematical expression} completely chaotic?completely chaotic?
Sohos, G., Bountis, T., Polymilis, H., 1989 In : Il Nuovo Cimento B Series 11. 104, 3, p. 339-352
The Painlevé property and singularity analysis of integrable and non-integrable systems
Ramani, A., Grammaticos, B., Bountis, T., 1989 In : Physics Reports. 180, 3, p. 159-245
On the application of normal forms near attracting fixed points of dynamical systems
Bountis, T., Tsarouhas, G., 1988 In : Physica A: Statistical Mechanics and its Applications. 153, 1, p. 160-178
Synchronized periodic solutions of a class of periodically driven nonlinear oscillators
Mahmoud, G., Bountis, T., 1988 In : Journal of Applied Mechanics, Transactions ASME. 55, 3, p. 721-728
Normal form solutions of dynamical systems in the basin of attraction of their fixed points
Bountis, T., Tsarouhas, G., Herman, R., 1988 In : Physica D: Nonlinear Phenomena. 33, 1-3, p. 34-50
On the singularity analysis of intersecting separatrices in near-integrable dynamical systems
Bountis, T., Papageorgiou, V., Bier, M., 1987 In : Physica D: Nonlinear Phenomena. 24, 1-3, p. 292-304
On the integrability of systems of nonlinear ordinary differential equations with superposition principles
Bountis, T., Papageorgiou, V., Winternitz, P., 1986 In : Journal of Mathematical Physics. 27, 5, p. 1215-1224
On the integrability and perturbations of systems of Ode's with nonlinear superposition principles
Bountis, T., Papageorgiou, V., Winternitz, P., 1986 In : Physica D: Nonlinear Phenomena. 18, 1-3, p. 211-212
Dynamic transit scheduling under efficiency constraints
Stephanedes, Y., Michalopoulos, P., Bountis, T., 1985 In : Transportation Research, Series B: Methodological. 19, 2, p. 95-111
A Singularity Analysis of Integrability and Chaos in Dynamical Systems
Bountis, T., 1985 In : North-Holland Mathematics Studies. 103, C, p. 353-373
Resonance criteria for minimizing blow-up effects in colliding proton beams
Bountis, T., Eminhizer, C., Budinsky, N., 1984 In : Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 227, 2, p. 205-216
Remerging Feigenbaum trees in dynamical systems
Bier, M., Bountis, T., 1984 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 104, 5, p. 239-244
On the complete and partial integrability of non-Hamiltonian systems
Bountis, T., Ramani, A., Grammaticos, B., Dorizzi, B., 1984 In : Physica A: Statistical Mechanics and its Applications. 128, 1-2, p. 268-288
Integrability and the Painlevé property for low-dimensional systems
Ramani, A., Dorizzi, B., Grammaticos, B., Bountis, T., 1984 In : Journal of Mathematical Physics. 25, 4, p. 878-883
A note on "painleve property of anharmonic systems with an external periodic field"
Bountis, T., 1983 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 97, 3, p. 85-86
On the integrability of some generalized Lotka-Volterra systems
Bountis, T., Bier, M., Hijmans, J., 1983 In : Physics Letters, Section A: General, Atomic and Solid State Physics. 97, 1-2, p. 11-14
Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices
Budinsky, N., Bountis, T., 1983 In : Physica D: Nonlinear Phenomena. 8, 3, p. 445-452
NONLINEAR DYNAMICS IN TRANSPORTATION DEMAND AND SUPPLY.
Stephanedes, Y., Bountis, T., 1982 Unknown Host Publication Title. Int Assoc for Mathematics & Computers in Simulation, p. 17-18
Integrable Hamiltonian systems and the Painlevé property
Bountis, T., Segur, H., Vivaldi, F., 1982 In : Physical Review A - Atomic, Molecular, and Optical Physics. 25, 3, p. 1257-1264
Period doubling bifurcations and universality in conservative systems
Bountis, T., 1981 In : Physica D: Nonlinear Phenomena. 3, 3, p. 577-589
On the stability of periodic orbits of two-dimensional mappings
Bountis, T., Helleman, R., 1981 In : Journal of Mathematical Physics. 22, 9, p. 1867-1877
''On the Application of Perturbation Methods to the Beam-Beam Interaction
Bountis, A., Coutsias, E., 1980 ''On the Application of Perturbation Methods to the Beam-Beam Interaction. AIP Conference Proceedings, 57,
Exact statistical mechanics of some classical 1D systems
Bountis, T., Helleman, R., 1977 In : Journal of Mathematical Physics. 19, 2, p. 477-481