Periodic orbits in coupled Henon Maps: Lyapunov and multifractal analysis

Anno: 1992

Autori: Politi A., Torcini A.

Affiliazione autori: Instituto Nazionale di Ottica,Largo E. Fermi 6, 50125 Firenze, Italy;
INFN-Sezione di Firenze;
Dipartimento di Fisica, Universita di Firenze

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.

Giornale/Rivista: CHAOS

Volume: 2 (3)      Da Pagina: 293  A: 300

Parole chiavi: Periodic orbits; Lyapunov; multifractal analysis
DOI: 10.1063/1.165871

Citazioni: 42
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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