# Anastasios Bountis

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**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 D

_{2}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