Dynamical spectrum and thermodynamic functions of strange sets from an eigenvalue problem

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Abstract

The dynamical multifractal spectrum of hyperbolic systems is found to be the fundamental equation in a kind of statistical-mechanics formalism for both permanent and transient chaos. It is shown that the free energy may appear in an eigenvalue problem, the solution to which provides a new method for calculating dynamical spectra. Explicit examples are given and the possibility of extending the method for higher-dimensional systems is discussed.

Original languageEnglish
Pages (from-to)2507-2510
Number of pages4
JournalPhysical Review A
Volume36
Issue number5
DOIs
Publication statusPublished - 1987

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eigenvalues
hyperbolic systems
thermodynamics
statistical mechanics
chaos
free energy
formalism

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Dynamical spectrum and thermodynamic functions of strange sets from an eigenvalue problem. / Tél, T.

In: Physical Review A, Vol. 36, No. 5, 1987, p. 2507-2510.

Research output: Contribution to journalArticle

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