Correlation functions and generalized Lyapunov exponents

Anno: 1988

Autori: Badii R., Heinzelmann K., Meier P.F., Politi A.

Affiliazione autori: Institut fur Theoretische Physik, Universitat Zurich, CH-8001, Zurich, Switzerland;
Physik-Institut, Universitat Zurich, CH-8001, Zurich, Switzerland;
Istituto Nazionale di Ottica, I-50125 Firenze, Italy

Abstract: Correlation functions of one- and two-dimensional piecewise linear maps are analytically investigated. The asymptotic time behavior is shown to be given by the average inverse multiplier 〈μ1-1(τ)〉, for one-dimensional maps with absolutely continuous invariant measure. The decay rate γ coincides with the generalized Lyapunov exponent Λ(scrq) at scrq=2, if the sign of the multiplier does not change during the time evolution, while, in general, it is larger than Λ(2). The analysis of two-dimensional maps reveals the importance of the average second multiplier 〈μ2(τ)〉 and of the average ratio 〈μ2(τ)/μ1(τ)〉 which, in some cases, can provide the leading long-time contribution.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 37 (4)      Da Pagina: 1323  A: 1328

Parole chiavi: Lyapunov exponents
DOI: 10.1103/PhysRevA.37.1323

Citazioni: 21
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui