Multi-ergodic motions in nearly integrable Hamiltonian systems 近可積分ハミルトン系における多重エルゴード運動
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Bibliographic Information
- Title
-
Multi-ergodic motions in nearly integrable Hamiltonian systems
- Other Title
-
近可積分ハミルトン系における多重エルゴード運動
- Author
-
菊地, 康裕
- Author(Another name)
-
キクチ, ヤスヒロ
- University
-
早稲田大学
- Types of degree
-
理学博士
- Grant ID
-
甲第870号
- Degree year
-
1991-03-07
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲870号 ; 学位の種類:理学博士 ; 授与年月日:1991-03-07 ; 早大学位記番号:新1684 ; 理工学図書館請求番号:1446
Table of Contents
- Contents / p3 (0005.jp2)
- §1.Introduction / p5 (0007.jp2)
- 1.1.Dynamical systems / p5 (0007.jp2)
- 1.2.Lyapunov exponent / p6 (0008.jp2)
- 1.3.Multi-ergodicity / p9 (0011.jp2)
- §2.Chaos in Hamiltonian systems / p15 (0017.jp2)
- 2.1.Nearly integrable Hamiltonian systems / p15 (0017.jp2)
- 2.2.Stagnant phenomena / p18 (0020.jp2)
- §3.Numerical evidence of the multi-ergodic motions / p29 (0031.jp2)
- 3.1.Power spectrum / p29 (0031.jp2)
- 3.2.Local Lyapunov exponent / p30 (0032.jp2)
- §4.Convergency of the Lyapunov exponent / p40 (0042.jp2)
- 4.1.Long time tail / p40 (0042.jp2)
- 4.2.Non-stationarity / p42 (0044.jp2)
- §5.Semi-Markovian model / p54 (0056.jp2)
- 5.1.Alternating renewal process / p54 (0056.jp2)
- 5.2.Model for intermittent chaotic dynamics / p56 (0058.jp2)
- 5.3.Anomalous large deviations / p59 (0061.jp2)
- 5.4.Discussions / p60 (0062.jp2)
- §6.Conclusions and discussions / p70 (0072.jp2)
- Appendices / p72 (0074.jp2)
- A.1.Exponent γ / p72 (0074.jp2)
- A.2.Function υ(z;α) / p74 (0076.jp2)
- References / p76 (0078.jp2)
