Bifurcation analysis and chaos in parametrically excited surface waves パラメータ励起された表面波の分岐解析とカオス
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Bibliographic Information
- Title
-
Bifurcation analysis and chaos in parametrically excited surface waves
- Other Title
-
パラメータ励起された表面波の分岐解析とカオス
- Author
-
梅木, 誠
- Author(Another name)
-
ウメキ, マコト
- University
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東京大学
- Types of degree
-
理学博士
- Grant ID
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甲第8871号
- Degree year
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1991-03-29
Note and Description
博士論文
Table of Contents
- Contents / p4 (0005.jp2)
- Preface and Abstract / p4 (0005.jp2)
- Chapter 1 Low-dimensional Faraday Resonance / p5 (0005.jp2)
- §1.1 Introduction / p5 (0005.jp2)
- §1.2 Formulation of nonlinear dynamics of surface waves / p6 (0006.jp2)
- §1.3 Hamiltonian for rectangular geometry / p8 (0007.jp2)
- §1.4 Hamiltonian for circular geometry / p12 (0009.jp2)
- §1.5 Angular momentum / p16 (0011.jp2)
- §1.6 Bifurcation analysis of stationary states / p18 (0012.jp2)
- §1.7 Determination of the sub/supercriticality of the Hopf bifurcation / p23 (0014.jp2)
- §1.8 Numerical analysis of the dissipative dynamical system / p28 (0017.jp2)
- §1.9 Homoclinic chaos in the hamiltonian system / p31 (0018.jp2)
- §1.10 Conclusions / p34 (0020.jp2)
- Chapter 2 Parametric Dissipative Nonlinear Schrödinger Equation / p36 (0036.jp2)
- §2.1 Introduction / p36 (0036.jp2)
- §2.2 Constant-phase stationary states / p38 (0037.jp2)
- §2.3 Non-constant-phase stationary states / p40 (0038.jp2)
- §2.4 Perturbative mixed mode stationary states / p41 (0039.jp2)
- §2.5 Stability of nonuniform stationary states / p44 (0040.jp2)
- §2.6 Numerical analysis / p47 (0042.jp2)
- §2.7 Conclusions / p48 (0042.jp2)
- Appendix / p50 (0052.jp2)
- §A.l The averaging theorem / p50 (0052.jp2)
- §A.2 The center manifold theorem / p50 (0052.jp2)
- §A.3 The extension of Melnikov's theorem to two-degree-of-freedom hamiltonian system / p51 (0053.jp2)
- §A.4 Bifurcations of periodic orbits / p51 (0053.jp2)