The number dependence of the maximum Lyapunov exponent

Debra J. Searles, Denis J. Evans and Dennis J. Isbister

Physica A: Statistical Mechanics and its Applications, 1997, vol. 240, issue 1, 96-104

Abstract: We examine the number dependence of the largest Lyapunov exponent for nonlinear dynamical systems in one, two and three Cartesian dimensions. Our results suggest that the largest Lyapunov exponent diverges logarithmically with system size, independently of the number of Cartesian dimensions and the interaction potential.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:240:y:1997:i:1:p:96-104

DOI: 10.1016/S0378-4371(97)00133-7

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