78 citations · 81 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
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…