208 citations · 342 across the 14 of their papers we have counts for
14 papers
ChaosNetBench: Benchmarking Spatio-Temporal Graph Neural Networks on Chaotic Lattice Dynamics
Henok Tenaw Moges, Charalampos Skokos, Deshendran Moodley
Spatio-temporal graph neural networks (STGNNs) are widely used for short-term forecasting in dynamic physical systems such as traffic and weather. However, the prevailing evaluatio…
On the efficient numerical computation of covariant Lyapunov vectors
Jean-Jacq du Plessis, Malcolm Hillebrand, Charalampos Skokos
Covariant Lyapunov vectors (CLVs) are useful in multiple applications, but the optimal time windows needed to accurately compute these vectors are yet unclear. To remedy this, we i…
Energy transport and chaos in a one-dimensional disordered nonlinear stub lattice
Su Ho Cheong, Arnold Ngapasare, Vassos Achilleos +3
We investigate energy propagation in a one-dimensional stub lattice in the presence of both disorder and nonlinearity. In the periodic case, the stub lattice hosts two dispersive b…
Temperature Dependent Mechanical and Structural Properties of Uniaxially Strained Planar Graphene
Sané Erasmus, Charalampos Skokos, George Kalosakas
Using molecular dynamics simulations in a planar graphene sheet, we investigate the temperature dependence of its mechanical behavior under uniaxial tensile stress applied either a…
Manifold dynamics and orbital properties in a two-dimensional galactic model
Dylan Theron, Charalampos Skokos
We numerically investigate the orbital dynamics of a two-dimensional galactic model, emphasizing the influence of stable and unstable manifolds on the evolution of orbits. In our a…
On the behavior of the Generalized Alignment Index (GALI) method for dissipative systems
Henok Tenaw Moges, Thanos Manos, Ovidiu Racoveanu +1
The behavior of the Generalized Alignment Index (GALI) method has been extensively studied and successfully applied for the detection of chaotic motion in conservative Hamiltonian…
Using Lagrangian descriptors to reveal the phase space structure of dynamical systems described by fractional differential equations: Application to the Duffing oscillator
Dylan Theron, Hadi Susanto, Makrina Agaoglou +1
We showcase the utility of the Lagrangian descriptors method in qualitatively understanding the underlying dynamical behavior of dynamical systems governed by fractional-order diff…
Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method
Bertin Many Manda, Malcolm Hillebrand, Charalampos Skokos
We present a method for the computation of the Generalized Alignment Index (GALI), a fast and effective chaos indicator, using a multi-particle approach that avoids variational equ…
The evolution of the phase space structure along pitchfork and period-doubling bifurcations in a 3D galactic bar potential
Henok Tenaw Moges, Matthaios Katsanikas, Panos Patsis +2
We investigate how the phase space structure of a 3D autonomous Hamiltonian system evolves across a series of successive 2D and 3D pitchfork and period-doubling bifurcations, as th…
Numerical approaches for investigating the chaotic behavior of multidimensional Hamiltonian systems
Charalampos Skokos
We discuss various numerical approaches for studying the chaotic dynamics of multidimensional Hamiltonian systems, focusing our analysis on the chaotic evolution of initially local…
Chaotic wave packet spreading in two-dimensional disordered nonlinear lattices
Bertin Many Manda, Bob Senyange, Charalampos Skokos
We reveal the generic characteristics of wave packet delocalization in two-dimensional nonlinear disordered lattices by performing extensive numerical simulations in two basic diso…
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…
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…
Particle Swarm Optimization: An efficient method for tracing periodic orbits in 3D galactic potentials
Ch. Skokos, K. E. Parsopoulos, P. A. Patsis +1
We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropri…