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

Ehud Meron; Itamar Procaccia

doi:10.1103/PhysRevLett.56.1323

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

Ehud Meron, Itamar Procaccia

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1323-1326
Number of pages	4
Journal	Physical Review Letters
Volume	56
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevLett.56.1323
State	Published - 1 Jan 1986
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.56.1323

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

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.",

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AB - 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.

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

Abstract

ASJC Scopus subject areas

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