HOMOCLINIC TANGENCIES, GENERATING PARTITIONS AND CURVATURE OF INVARIANT-MANIFOLDS

F GIOVANNINI, A POLITI

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Abstract

A method to compute the curvature of the unstable manifold is introduced and applied to Henon map and Duffing attractor, showing that it allows us to locate the homoclinic tangencies and, in turn, to construct a generating partition. The probability distribution of curvature-values is investigated, showing a power-law decay. Finally, the shape of the multifractal spectrum of effective Liapunov exponents in non-hyperbolic systems is discussed.

Original languageEnglish
Pages (from-to)1837-1887
Number of pages51
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number8
Publication statusPublished - 21 Apr 1991

Keywords

  • ATTRACTORS

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