Analysis of high dimensional non-hyperbolic coupled systems through finite-time Lyapunov exponents

Marcelo M. Disconzi and Leonardo G. Brunnet

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 2, 425-431

Abstract: In this work, we investigate the relations among the Unstable Dimension Variability (UDV) and phase space dimensions in a coupled map lattice with diffusive coupling. Studying a simple system with UDV at low dimensions, we give theoretical support and numerical evidence to the statement that, from some fixed dimensional value onwards, there is no UDV. More precisely, we construct a high dimensional non-hyperbolic system without UDV.

Keywords: Chaotic systems; Shadowing; Unstable dimension variability; Finite time Lyapunov exponents (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:2:p:425-431

DOI: 10.1016/j.physa.2007.09.012

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