The phase space dynamics of higher dimensional nonintegrable conservative systems is characterized via the effect of “sticky” motion on the finite time Lyapunov exponents (FTLEs) …
In this work we perform a detailed study of the scaling properties of Lyapunov vectors (LVs) for two different one-dimensional Hamiltonian lattices: the Fermi-Pasta-Ulam and Φ 4 …
GP Morriss, DP Truant - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
A review of the results obtained for hard disk fluids confined to a quasi-one-dimensional (QOD) system is presented. One of the main achievements in recent years has been …
We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show …
In this thesis the Lyapunov analysis, as applied to the chaotic dynamics of quasi one dimensional hark disk systems, is extended to the covariant Lyapunov vectors of both …
DS Pazó Bueno, M Romero Bastida, JM López Martín - 2012 - repositorio.unican.es
We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show …
Neste trabalho utilizaremos o Método Estocástico para calcular o expoente de Lyapunov máximo de um sistema hamiltoniano com muitos graus de liberdade. Aplicaremos a teoria a …
C Manchein, MW Beims, JM Rost - arXiv preprint arXiv:0907.4181, 2009 - Citeseer
“Sticky” motion in mixed phase space of conservative systems is difficult to detect and to characterize, in particular for high dimensional phase spaces. Its effect on quasi-regular …