期刊
WAVE MOTION
卷 35, 期 2, 页码 125-140出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0165-2125(01)00086-5
关键词
Faraday resonance; Faraday wave; standing gravity wave; homoclinic chaos; heteroclinic chaos
Faraday waves arise on the surface of a liquid in a container that is undergoing vertical periodic oscillations. The motion of two resonant modes with natural frequencies in the approximate ratio 3:1 is considered in this paper. We derive the nonlinear evolution equations of the dominant free-surface modes up to fifth-order in wave amplitude. It is found that the third-order evolution equations are integrable while the fifth-order evolution equations are chaotic, which shows that the fifth-order nonlinearity breaks the integrability of the third-order integrable system. (C) 2002 Elsevier Science B.V. All rights reserved.
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