8 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…