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From mechanical to biological oscillator networks: The role of long range interactions

The European physical journal. ST, Special topics, 2016-09, Vol.225 (6-7), p.1017-1035

Bountis, T.

2016

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Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics

Europhysics letters, 2014-11, Vol.108 (4), p.40006-p1-40006-p6

2014

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Comparison between the QP formalism and the Painlevé property in integrable dynamical systems

Theoretical and mathematical physics, 2022-08, Vol.212 (2), p.1033-1043

2022

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Geometrical properties of local dynamics in Hamiltonian systems: The Generalized Alignment Index (GALI) method

Physica. D, 2007-07, Vol.231 (1), p.30-54

2007

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Dissipative soliton dynamics of the Landau–Lifshitz–Gilbert equation

Theoretical and mathematical physics, 2023-05, Vol.215 (2), p.622-635

2023

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Interplay between chaotic and regular motion in a time-dependent barred galaxy model

Journal of physics. A, Mathematical and theoretical, 2013-06, Vol.46 (25), p.254017-19

2013

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Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems

Physica A, 2011-10, Vol.390 (20), p.3290-3307

2011

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Dynamical complexity in the C.elegans neural network

The European physical journal. ST, Special topics, 2016-09, Vol.225 (6-7), p.1255-1269

2016

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TIME-EVOLVING STATISTICS OF CHAOTIC ORBITS OF CONSERVATIVE MAPS IN THE CONTEXT OF THE CENTRAL LIMIT THEOREM

International journal of bifurcation and chaos in applied sciences and engineering, 2012-09, Vol.22 (9), p.1250208

2012

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Aggressive Periodontitis Defined by Recursive Partitioning Analysis of Immunologic Factors

Journal of periodontology (1970), 2013-07, Vol.84 (7), p.974-984

2013

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The science of complexity and the role of mathematics

The European physical journal. ST, Special topics, 2016-09, Vol.225 (6-7), p.883-890

2016

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Mathematical Modeling Suggests That Periodontitis Behaves as a Non‐Linear Chaotic Dynamical Process

Journal of periodontology (1970), 2013-10, Vol.84 (10), p.e29-e39

2013

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Complex statistics and diffusion in nonlinear disordered particle chains

Chaos (Woodbury, N.Y.), 2014-06, Vol.24 (2)

2014

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Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi–Pasta–Ulam lattices by the Generalized Alignment Index method

The European physical journal. ST, Special topics, 2008-12, Vol.165 (1), p.5-14

2008

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Application of the SALI chaos detection method to accelerator mappings

Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 2006-06, Vol.561 (2), p.173-179

2006

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USING CELLULAR AUTOMATA EXPERIMENTS TO MODEL PERIODONTITIS: A FIRST STEP TOWARDS UNDERSTANDING THE NONLINEAR DYNAMICS OF THE DISEASE

International journal of bifurcation and chaos in applied sciences and engineering, 2013-03, Vol.23 (3), p.1350056

2013

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Breathers in a nonautonomous Toda lattice with pulsating coupling

Physical review. E, Statistical, nonlinear, and soft matter physics, 2010-06, Vol.81 (6 Pt 2), p.066601-066601, Article 066601

2010

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The stability of vertical motion in the N-body circular Sitnikov problem

Celestial mechanics and dynamical astronomy, 2009-06, Vol.104 (1-2), p.205-225

2009

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ANALYTICAL SOLUTIONS OF SYSTEMS WITH PIECEWISE LINEAR DYNAMICS

International journal of bifurcation and chaos in applied sciences and engineering, 2010-02, Vol.20 (2), p.509-518

2010

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Application of the GALI method to localization dynamics in nonlinear systems

Journal of computational and applied mathematics, 2009-05, Vol.227 (1), p.17-26

2009

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Periodic orbits and bifurcations in the Sitnikov four-body problem

Celestial mechanics and dynamical astronomy, 2008-04, Vol.100 (4), p.251-266

2008

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Stability of motion in the Sitnikov 3-body problem

Celestial mechanics and dynamical astronomy, 2007-10, Vol.99 (2), p.129-148

2007

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On the topology of the Lü attractor and related systems

Journal of physics. A, Mathematical and theoretical, 2008-12, Vol.41 (48), p.485101

2008

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The Painlevé property and singularity analysis of integrable and non-integrable systems

Physics reports, 1989-08, Vol.180 (3), p.159-245

1989

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Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type

Journal of mathematical physics, 2002-12, Vol.43 (12), p.6151-6165

2002

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From mechanical to biological oscillator networks: The role of long range interactions

Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics

Comparison between the QP formalism and the Painlevé property in integrable dynamical systems

Geometrical properties of local dynamics in Hamiltonian systems: The Generalized Alignment Index (GALI) method

Dissipative soliton dynamics of the Landau–Lifshitz–Gilbert equation

Interplay between chaotic and regular motion in a time-dependent barred galaxy model

Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems

Dynamical complexity in the C.elegans neural network

TIME-EVOLVING STATISTICS OF CHAOTIC ORBITS OF CONSERVATIVE MAPS IN THE CONTEXT OF THE CENTRAL LIMIT THEOREM

Aggressive Periodontitis Defined by Recursive Partitioning Analysis of Immunologic Factors

The science of complexity and the role of mathematics

Mathematical Modeling Suggests That Periodontitis Behaves as a Non‐Linear Chaotic Dynamical Process

Complex statistics and diffusion in nonlinear disordered particle chains

Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi–Pasta–Ulam lattices by the Generalized Alignment Index method

Application of the SALI chaos detection method to accelerator mappings

USING CELLULAR AUTOMATA EXPERIMENTS TO MODEL PERIODONTITIS: A FIRST STEP TOWARDS UNDERSTANDING THE NONLINEAR DYNAMICS OF THE DISEASE

Breathers in a nonautonomous Toda lattice with pulsating coupling

The stability of vertical motion in the N-body circular Sitnikov problem

ANALYTICAL SOLUTIONS OF SYSTEMS WITH PIECEWISE LINEAR DYNAMICS

Application of the GALI method to localization dynamics in nonlinear systems

Periodic orbits and bifurcations in the Sitnikov four-body problem

Stability of motion in the Sitnikov 3-body problem

On the topology of the Lü attractor and related systems

The Painlevé property and singularity analysis of integrable and non-integrable systems

Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type

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