208 citations · 656 across the 19 of their papers we have counts for
15 papers · 1 filter
Dynamics and Statistics of Weak Chaos in a 4--D Symplectic Map
Tassos Bountis, Konstantinos Kaloudis, Helen Christodoulidi
The important phenomenon of "stickiness" of chaotic orbits in low dimensional dynamical systems has been investigated for several decades, in view of its applications to various ar…
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…
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…
Interplay Between Chaotic and Regular Motion in a Time-Dependent Barred Galaxy Model
T. Manos, T. Bountis, Ch. Skokos
We study the distinction and quantification of chaotic and regular motion in a time-dependent Hamiltonian barred galaxy model. Recently, a strong correlation was found between the…
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…
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…
Application of the Generalized Alignment Index (GALI) method to the dynamics of multi--dimensional symplectic maps
T. Manos, Ch. Skokos, T. Bountis
We study the phase space dynamics of multi--dimensional symplectic maps, using the method of the Generalized Alignment Index (GALI). In particular, we investigate the behavior of t…
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…
Studying the global dynamics of conservative dynamical systems using the SALI chaos detection method
T. Manos, Ch. Skokos, E. Athanassoula +1
We use the Smaller ALignment Index (SALI) method of chaos detection, to study the global dynamics of conservative dynamical systems described by differential or difference equation…
Chaotic Dynamics of N-degree of Freedom Hamiltonian Systems
Chris Antonopoulos, Tassos Bountis, Charalampos Skokos
We investigate the connection between local and global dynamics of two N-degree of freedom Hamiltonian systems with different origins describing one-dimensional nonlinear lattices:…
How does the Smaller Alignment Index (SALI) distinguish order from chaos?
Ch. Skokos, Ch. Antonopoulos, T. C. Bountis +1
The ability of the Smaller Alignment Index (SALI) to distinguish chaotic from ordered motion, has been demonstrated recently in several publications.\cite{Sk01,GRACM} Basically it…
Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems
Ch. Skokos, Ch. Antonopoulos, T. C. Bountis +1
We apply the smaller alignment index (SALI) method for distinguishing between ordered and chaotic motion in some simple conservative dynamical systems. In particular we compute the…