External Disturbance to Non-Integrable Hamiltonian System
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- Takahashi Kin’ya
- Department of Applied Physics, Waseda University
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- Ichimura Atsushi
- Department of Applied Physics, Waseda University
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- Hirooka Hajime
- Department of Instrument and Control Engineering, Hosei University
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- Saitô Nobuhiko
- Department of Applied Physics, Waseda University
書誌事項
- タイトル別名
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- External Disturbance to Non Integrable
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抄録
The response of the regular and irregular regions to a periodic external force in two-dimensional Hamiltonian systems are studied, through power spectrum, energy change, Poincaré map and Lyapunov number. In the regular case, three-dimensional tori are constructed for small perturbation. It is shown that there exists a certain critical value ac of the amplitude of the external force below which the trajectories are regular but above which they become irregular. In the irregular region, main attention is paid to the Lyapunov number, which is shown to vary sensitively to the variation of the amplitude, indicating the difference of the nature of the orbits. This suggests that perturbation theory is not applicable to the irregular case, as is usually done in the linear response theory.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 54 (2), 500-515, 1985
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204184850432
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- NII論文ID
- 110001967648
- 130003898541
- 210000092522
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1985JPSJ...54..500T
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- ISSN
- 13474073
- 00319015
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- MRID
- 789566
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- NDL書誌ID
- 3015270
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可