Phenomenological model of chaotic mode competition in surface waves

Year: 1985

Authors: Ciliberto S., Gollub J. P.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy
Haverford College, 19041 Haverford, PA
Department of Physics, University of Pennsylvania, 19104 Philadelphia, PA

Abstract: We present a four-variable model (two coupled parametrically forced oscillators) that describes many of the phenomena seen in an experiment on surface waves in which the competition between spatial patterns produces chaotic behaviour. The model reproduces the route to chaos, the dimension of the attractor, the Kolmogorov entropy and (approximately) the phase diagram.

Journal/Review: NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS

Volume: 6 (4)      Pages from: 309  to: 316

KeyWords: Turbulent flows, convection and heat tra; Hydrodynamic waves;
DOI: 10.1007/BF02450690

Citations: 20
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