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 and Itamar Procaccia

Phys. Rev. Lett. 56, 1323 – Published 31 March 1986

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.

Received 19 August 1985

DOI:https://doi.org/10.1103/PhysRevLett.56.1323

Authors & Affiliations

Ehud Meron and Itamar Procaccia

Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel,
The James Franck Institute and the Department of Chemistry, University of Chicago, Chicago, Illinois 60637