Characteristic exponents of chaotic repellers as eigenvalues

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29 Citations (Scopus)


A new type of eigenvalue problem is introduced whose solution provides a spectrum of characteristic exponents for chaotic repellers or semi-attractors. In explicitly tractable examples this spectrum coincides with that of the generalized dimensions. The eigenvalues form a continuum of fractal measures with a smooth density along unstable directions.

Original languageEnglish
Pages (from-to)65-68
Number of pages4
JournalPhysics Letters A
Issue number2
Publication statusPublished - Dec 1 1986

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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