Characterizing weak chaos in nonintegrable Hamiltonian systems: The fundamental role of stickiness and initial conditions

C. Manchein, M.W. Beims and J.M. Rost

Physica A: Statistical Mechanics and its Applications, 2014, vol. 400, issue C, 186-193

Abstract: Weak chaos in high-dimensional conservative systems can be characterized through sticky effect induced by invariant structures on chaotic trajectories. Suitable quantities for this characterization are the higher cummulants of the finite time Lyapunov exponents (FTLEs) distribution. They gather the whole phase space relevant dynamics in one quantity and give information about ordered and random states. This is analyzed here for discrete Hamiltonian systems with local and global couplings. It is also shown that FTLEs plotted versus initial condition (IC) and the nonlinear parameter are essential to understand the fundamental role of ICs in the dynamics of weakly chaotic Hamiltonian systems.

Keywords: Finite time Lyapunov spectrum; Coupled maps; High-dimensional; Hamiltonian system; Stickiness (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:400:y:2014:i:c:p:186-193

DOI: 10.1016/j.physa.2014.01.021

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