Nonequilibrium potentials for dynamical systems with fractal attractors or repellers

R. Graham, A. Hamm, T. Tél

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

The concept of a nonequilibrium potential is applied to dynamical systems with fractal attractors or repellers. In particular, we study the case of the Feigenbaum attractor in one-dimensional maps and the case of hyperbolic strange attractors or repellers in two-dimensional maps. The potential-height distribution of the latter is shown to exhibit multifractal features; that of the Feigenbaum attractor is characterized by a single number, the universal exponent for noisy period-doubling bifurcations.

Original languageEnglish
Pages (from-to)3089-3092
Number of pages4
JournalPhysical review letters
Volume66
Issue number24
DOIs
Publication statusPublished - Jan 1 1991

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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