Nonlinear Dynamics and Chaos in Parametrically Excited Surface Waves
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概要
- 論文の詳細を見る
Surface waves in a closed container subject to vertical oscillation are studied.Nonlinear dynamical equations of two nearly degenerate subharmonic modes respon-ding to the external forcing are derived, using the averaged Lagrangian method forslowly varying amplitudes. Stability and bifurcation diagrams are shown for thesystem with linear damping. Period-doubling bifurcation and chaotic solutions withone positive Lyapunov characteristic exponent are obtained numerically. It is shownthat some of the period-doubling bifurcations are related to the symmetry of thedynamical system.
- 社団法人日本物理学会の論文
- 1989-01-15
著者
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KAMBE Tsutomu
Department of Physics,University of Tokyo
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Kambe Tsutomu
Department Of Physics University Of Tokyo
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Kambe Tsutomu
Department Of Applied Science Faculty Of Engineering Kyushu University
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UMEKI Makoto
Department of Physics,University of Tokyo
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Umeki Makoto
Department Of Physics Graduate School Of Science University Of Tokyo
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