非線形の力学系とカオス
Author(s)
Bibliographic Information
非線形の力学系とカオス
シュプリンガー・フェアラーク東京, 1992.4-1992.10
- 上
- 下
- Other Title
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Introduction to applied nonlinear dynamical systems and chaos
- Title Transcription
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ヒセンケイ ノ リキガクケイ ト カオス
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参考文献: 上: p[321]-336, 下: p[499]-514
原著(Springer-Verlag New York, 1990年刊)の翻訳
Description and Table of Contents
- Volume
-
上 ISBN 9784431706304
Description
Table of Contents
- 第1章 力学系の幾何学的観点—予備事項、ポアンカレ写像と例題(力学系の理論からの予備事項;ポアンカレ写像—定理、構成および例)
- 第2章 力学系を簡単にする方法(中心多様体;標準形;最後の注意)
- Volume
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下 ISBN 9784431706373
Description
Table of Contents
- 第3章 局所分岐(ベクトル場の不動点の分岐;写像の不動点の分岐;分岐図式の説明と応用—警告)
- 第4章 大域的分岐とカオスのいくつかの様相(スメールの馬蹄型力学型;記号力学;コンリー—モーザー条件“いかにして力学系がカオス的であることを示すか”;2次元写像のホモクリニック点の近傍における力学;2次元の時間周期ベクトル場におけるホモクリニック軌道に対するメルニコフの方法;錯綜における幾何および力学;ホモクリニック分岐:周期倍加と鞍状点—結節点分岐のカスケード;3次元自励ベクトル場の双曲型不動点にホモクリニックな軌道;局所余次元2の分岐によって生じる大域的分岐;リャプノフ指数;カオスとストレンジ・アトラクター)
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