Power spectra of strange attractors near homoclinic orbits

Victor W. Brunsden, Philip Holmes

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

Assuming that the chaotic time history of a single variable in a differential equation possessing a strange attractor can be represented as a random superposition of deterministic structures, we predict the power spectral density. We justify the assumption for perturbations of nonlinear Hamiltonian oscillators ans compare our predictions with computations on versions of Duffings equation.

Original languageEnglish (US)
Pages (from-to)1699-1702
Number of pages4
JournalPhysical Review Letters
Volume58
Issue number17
DOIs
StatePublished - Jan 1 1987

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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