Theory of chaos in surface waves: The reduction from hydrodynamics to few-dimensional dynamics

Ehud Meron, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

The experiment on chaos in surface waves reported by Ciliberto and Gollub is used as a case model for an understanding of the appearance of few-dimensional chaos in systems with an infinite number of degrees of freedom. Center-manifold and normal-form theories are utilized to derive the pertinent dynamical system and to provide an approximate solution of the partial differential equations. Comparisons of theory and experiment are discussed.

Original languageEnglish
Pages (from-to)1323-1326
Number of pages4
JournalPhysical Review Letters
Volume56
Issue number13
DOIs
StatePublished - 1 Jan 1986
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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