19 citations · 51 across the 9 of their papers we have counts for
7 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…
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…
Quantifying chaos using Lagrangian descriptors
Malcolm Hillebrand, Sebastian Zimper, Arnold Ngapasare +3
We present and validate simple and efficient methods to estimate the chaoticity of orbits in low dimensional dynamical systems from computations of Lagrangian descriptors (LDs) on…
Chaotic Dynamics of Polyatomic Systems with an Emphasis on DNA Models
Malcolm Hillebrand
We investigate the chaotic behaviour of multiparticle systems, in particular DNA and graphene models, by applying methods of nonlinear dynamics. Using symplectic integration techni…
Chaotic dynamics of graphene and graphene nanoribbons
Malcolm Hillebrand, Bertin Many Manda, George Kalosakas +2
We study the chaotic dynamics of graphene structures, considering both a periodic, defect free, graphene sheet and graphene nanoribbons (GNRs) of various widths. By numerically cal…