Anomalous sensitivity to initial conditions and entropy production in standard maps: Nonextensive approach

G. F.J. Añaños, F. Baldovin, C. Tsallis

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We perform a throughout numerical study of the average sensitivity to initial conditions and entropy production for two symplectically coupled standard maps focusing on the control-parameter region close to regularity. Although the system is ultimately strongly chaotic (positive Lyapunov exponents), it first stays lengthily in weak-chaotic regions (zero Lyapunov exponents). We argue that the nonextensive generalization of the classical formalism is an adequate tool in order to get nontrivial information about the first stage of this crossover phenomenon. Within this context we analyze the relation between the power-law sensitivity to initial conditions and the entropy production. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2005.
Original languageAmerican English
Pages (from-to)409-417
Number of pages9
JournalEuropean Physical Journal B
DOIs
StatePublished - 1 Aug 2005
Externally publishedYes

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