Periodic orbits in coupled Henon maps: Lyapunov and multifractal analysis

Antonio Politi, Alessandro Torcini

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39 Citations (Scopus)

Abstract

A powerful algorithm is implemented in a 1-d lattice of Henon maps to extract orbits which are periodic both in space and time. The method automatically yields a suitable symbolic encoding of the dynamics. The arrangement of periodic orbits allows us to elucidate the spatially chaotic structure of the invariant measure. A new family of specific Lyapunov exponents is defined, which estimate the growth rate of spatially inhomogeneous perturbations. The specific exponents are shown to be related to the comoving Lyapunov exponents. Finally, the zeta-function formalism is implemented to analyze the scaling structure of the invariant measure both in space and time.

Original languageEnglish
Pages (from-to)293-300
Number of pages8
JournalChaos
Volume2
Issue number3
DOIs
Publication statusPublished - Jul 1992

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