External Disturbance to Non-Integrable Hamiltonian System
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概要
- 論文の詳細を見る
The response of the regular and irregular regions to a periodic external forcein two-dimensional Hamiltonian systems are studied, through power spectrum,energy change, Poincar<S map and Lyapunov number. In the regular case, three-dimensional tori are constructed for small perturbation. It is shown that thereexists a certain critical value a. of the amplitude of the external force below whichthe trajectories are regular but above which they become irregular. In the irregularregion, main attention is paid to the Lyapunov number, which is shown to varysensitively to the variation of the amplitude, indicating the difference of thenature of the orbits. This suggests that perturbation theory is not applicable tothe irregular case, as is tusually done in the linear response theory.
- 社団法人日本物理学会の論文
- 1985-02-15
著者
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Ichimura A
Course Of Specialized Clinical Science (psychiatry) Tokai University School Of Medicine
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Ichimura Atsushi
Department Of Applied Physics Waseda University
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Saito Nobuhiko
Department Of Applied Physics School Of Science And Engineering Waseda University
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Hirooka Hajime
Department Of Applied Physics Waseda University
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Hirooka Hajime
Department Of Instrument And Control Engineering Hosei University
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Saito Nobuhiko
Department Of Applied Physics Faculty Of Sciencc And Engineering Waseda University
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Saito Nobuhiko
Department Of Applied Physics And Science And Engineering Research Institute Waseda University
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Ichimura A
Inst. Space And Astronautical Science Kanagawa
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ICHIMURA Atsushi
Cyclotron Laboratory, The Institute of Physical and Chemical Research
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Takahashi Kin′ya
Department of Applied Physics,Waseda University
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