Random Wandering around Homoclinic-Like Manifolds in a Symplectic Map Chain
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概要
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We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behavior. It is found that the modulational instability in the reduced map triggers random wandering of orbits around some homoclinic-like manifolds. This behavior is understood as Bernoulli shifts.
- 理論物理学刊行会の論文
- 2002-04-25
著者
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NOZAKI Kazuhiro
Department of Physics, Nagoya University
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Nozaki K
Department Of Physics Nagoya University
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GOTO Shin-itiro
Department of Applied Mathematics and Physics, Kyoto University
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YAMADA Hiroyasu
Department of Physics, Nagoya University
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Goto Shin-itiro
Department Of Applied Mathematics And Physics Kyoto University
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Nozaki Kazuhiro
Departmant Of Physics Nagoya University
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Yamada Hiroyasu
Department Of Gastroenterology Hiroshima Prefectural Hospital
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