[HTML][HTML] A numerical method for fractional Schrödinger equation of Lennard-Jones potential

M Al-Raeei, MS El-Daher - Physics Letters A, 2019 - Elsevier
Depending on fractional analysis, we find a numerical algorithm to solve the time-
independent fractional Schrödinger equation in case of Lennard-Jones potential in one …

Characterizing the dynamics of higher dimensional nonintegrable conservative systems

C Manchein, MW Beims, JM Rost - Chaos: An Interdisciplinary Journal …, 2012 - pubs.aip.org
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) …

Structure of characteristic Lyapunov vectors in anharmonic Hamiltonian lattices

M Romero-Bastida, D Pazó, JM López… - Physical Review E …, 2010 - APS
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 …

A review of the hydrodynamic Lyapunov modes of hard disk systems

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 …

Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

M Romero-Bastida, D Pazó, JM López - Physical Review E—Statistical …, 2012 - APS
We scrutinize the reliability of covariant and Gram-Schmidt Lyapunov vectors for capturing
hydrodynamic Lyapunov modes (HLMs) in one-dimensional Hamiltonian lattices. We show …

[PDF][PDF] The covariant Lyapunov analysis of chaotic dynamical systems

D Truant - 2013 - unsworks.unsw.edu.au
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 …

Covariant hydrodynamic Lyapunov modes and strong stochasticity threshold in Hamiltonian lattices

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 …

[PDF][PDF] Expoente de Lyapunov para um Gás de Lennard–Jones

LJL Cirto - cbpfindex.cbpf.br
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 …

[PDF][PDF] Footprints of sticky motion in the phase space of higher dimensional nonintegrable symplectic systems

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 …