832 citations · 2.1k across the 51 of their papers we have counts for
28 papers · 1 filter
pynamicalsys: A Python toolkit for the analysis of dynamical systems
Matheus Rolim Sales, Leonardo Costa de Souza, Daniel Borin +6
Since Lorenz's seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite…
Spatiotemporal characteristics in systems of diffusively coupled excitable slow-fast FitzHugh-Rinzel dynamical neurons
A. Mondal, S. Kumar Sharma, R. Kumar Upadhyay +1
In this paper, we study an excitable, biophysical system that supports wave propagation of nerve impulses. We consider a slow-fast, FitzHugh-Rinzel neuron model where only the memb…
Labyrinth chaos: Revisiting the elegant, chaotic and hyperchaotic walks
Vasileios Basios, Chris G. Antonopoulos, Anouchah Latifi
Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic m…
Labyrinth walks: An elegant chaotic conservative non-Hamiltonian system
Anouchah Latifi, Vasileios Basios, Chris G. Antonopoulos
In this paper, we show that "Labyrinth walks", the conservative version of "Labyrinth chaos" and member of the Thomas-Rössler class of systems, does not admit an autonomous Hamilto…
Hyperchaos & Labyrinth chaos: Revisiting Thomas-Rössler systems
Vasileios Basios, Chris G. Antonopoulos
We consider a multi-dimensional extension of the Thomas-Rössler (TR) systems, that was inspired by Thomas' earlier work on biological feedback circuits, and we report on our first…
Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using -Statistics
Chris G. Antonopoulos, Charalampos Skokos, Tassos Bountis +1
In the study of subdiffusive wave-packet spreading in disordered Klein-Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite…
Successful network inference from time-series data using Mutual Information Rate
E. Bianco-Martinez, N. Rubido, Ch. G. Antonopoulos +1
This work uses an information-based methodology to infer the connectivity of complex systems from observed time-series data. We first derive analytically an expression for the Mutu…
Maintaining extensivity in evolutionary multiplex networks
Chris G. Antonopoulos, Murilo S. Baptista
In this paper, we explore the role of network topology on maintaining the extensive property of entropy. We study analytically and numerically how the topology contributes to maint…
Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices
Chris G. Antonopoulos, Tassos Bountis, Lambros Drossos
We investigate dynamically and statistically diffusive motion in a chain of linearly coupled 2-dimensional symplectic McMillan maps and find evidence of subdiffusion in weakly and…
Evidence of -exponential statistics in Greek seismicity
Chris G. Antonopoulos, George Michas, Filippos Vallianatos +1
We study the seismicity (global seismic activity) that occurred in Greece between 1976 and 2009 based on the dataset reported in Makropoulos et al., 2012, using concepts of Non-ext…
Complex Statistics and Diffusion in Nonlinear Disordered Particle Chains
Ch. G. Antonopoulos, T. Bountis, Ch. Skokos +1
We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) an…
Production and Transfer of Energy and Information in Hamiltonian Systems
Ch. G. Antonopoulos, E. Bianco-Martinez, M. S. Baptista
We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems. We show the relation a…
Linear And Nonlinear Arabesques: A Study Of Closed Chains Of Negative 2-Element Circuits
Chris Antonopoulos, Vasileios Basios, Jacques Demongeot +2
In this paper we consider a family of dynamical systems that we call "arabesques", defined as closed chains of 2-element negative circuits. An -dimensional arabesque system has…
Complex statistics in Hamiltonian barred galaxy models
Tassos Bountis, Thanos Manos, Chris Antonopoulos
We use probability density functions (pdfs) of sums of orbit coordinates, over time intervals of the order of one Hubble time, to distinguish weakly from strongly chaotic orbits in…
Weak chaos detection in the Fermi-Pasta-Ulam- system using -Gaussian statistics
Chris G. Antonopoulos, Helen Christodoulidi
We study numerically statistical distributions of sums of orbit coordinates, viewed as independent random variables in the spirit of the Central Limit Theorem, in weakly chaotic re…
Probing the local dynamics of periodic orbits by the generalized alignment index (GALI) method
T. Manos, Ch. Skokos, Ch. Antonopoulos
As originally formulated, the Generalized Alignment Index (GALI) method of chaos detection has so far been applied to distinguish quasiperiodic from chaotic motion in conservative…
Quasi-stationary chaotic states in multi-dimensional Hamiltonian systems
Chris G. Antonopoulos, Tassos C. Bountis, Vasileios Basios
We study numerically statistical distributions of sums of chaotic orbit coordinates, viewed as independent random variables, in weakly chaotic regimes of three multi-dimensional Ha…
SALI: An Efficient Indicator of Chaos with Application to 2 and 3 Degrees of Freedom Hamiltonian Systems
Ch. Antonopoulos, T. Manos, Ch. Skokos
The Smaller Alignment Index (SALI) is a very useful and efficient indicator that can distinguish rapidly and with certainty between ordered and chaotic motion in Hamiltonian system…
Emergence of coherent motion in aggregates of motile coupled maps
Anselmo Garcia Cantu Ros, Chris Antonopoulos, Vasileios Basios
In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means…
Weak Chaos and the "Melting Transition" in a Confined Microplasma System
Chris Antonopoulos, Vasileios Basios, Tassos Bountis
We present results demonstrating the occurrence of changes in the collective dynamics of a Hamiltonian system which describes a confined microplasma characterized by long--range Co…
Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi--Pasta--Ulam lattices by the Generalized Alignment Index method
Charalampos Skokos, Tassos Bountis, Chris Antonopoulos
The recently introduced GALI method is used for rapidly detecting chaos, determining the dimensionality of regular motion and predicting slow diffusion in multi--dimensional Hamilt…
Detecting Order and Chaos by the Linear Dependence Index (LDI) Method
Chris Antonopoulos, Tassos Bountis
We introduce a new methodology for a fast and reliable discrimination between ordered and chaotic orbits in multidimensional Hamiltonian systems which we call the Linear Dependence…
Geometrical properties of local dynamics in Hamiltonian systems: the Generalized Alignment Index (GALI) method
Ch. Skokos, T. C. Bountis, Ch. Antonopoulos
We investigate the detailed dynamics of multidimensional Hamiltonian systems by studying the evolution of volume elements formed by unit deviation vectors about their orbits. The b…
Stability of Simple Periodic Orbits and Chaos in a Fermi -- Pasta -- Ulam Lattice
Chris Antonopoulos, Tassos Bountis
We investigate the connection between local and global dynamics in the Fermi -- Pasta -- Ulam (FPU) -- model from the point of view of stability of its simplest periodic orbits…