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Frequency map analysis of spatiotemporal chaos in the nonlinear disordered Klein-Gordon lattice
Charalampos Skokos, Enrico Gerlach, Sergej Flach
We study the characteristics of chaos evolution of initially localized energy excitations in the one-dimensional nonlinear disordered Klein-Gordon lattice of anharmonic oscillators…
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…
High Order Three Part Split Symplectic Integration Schemes
Enrico Gerlach, Siegfried Eggl, Charalampos Skokos +2
Symplectic integration methods based on operator splitting are well established in many branches of science. For Hamiltonian systems which split in more than two parts, symplectic…
Efficient integration of the variational equations of multi-dimensional Hamiltonian systems: Application to the Fermi-Pasta-Ulam lattice
Enrico Gerlach, Siegfried Eggl, Charalampos Skokos
We study the problem of efficient integration of variational equations in multi-dimensional Hamiltonian systems. For this purpose, we consider a Runge-Kutta-type integrator, a Tayl…
Comparing the efficiency of numerical techniques for the integration of variational equations
E. Gerlach, Ch. Skokos
We present a comparison of different numerical techniques for the integration of variational equations. The methods presented can be applied to any autonomous Hamiltonian system wh…
Numerical integration of variational equations
Ch. Skokos, E. Gerlach
We present and compare different numerical schemes for the integration of the variational equations of autonomous Hamiltonian systems whose kinetic energy is quadratic in the gener…