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1. Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems
by Mariana Haragus, Gérard Iooss
出版情報: London : EDP Sciences, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-85729-112-7
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電子ブック
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2. Solving Nonlinear Partial Differential Equations with Maple and Mathematica
by Inna Shingareva, Carlos Lizárraga-Celaya
出版情報: Vienna : Springer-Verlag/Wien, 2011
オンライン: http://dx.doi.org/10.1007/978-3-7091-0517-7
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電子ブック
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3. Geography of Order and Chaos in Mechanics : Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
by Bruno Cordani
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 64
オンライン: http://dx.doi.org/10.1007/978-0-8176-8370-2
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目次情報: 続きを見る
Preface
List of Figures
1 Introductory Survey
2 Analytical Mechanics and Integrable Systems
3 Perturbation Theory
4 Numerical Tools I: ODE Integration
5 Numerical Tools II: Detecting Order, Chaos, and Resonances
6 The Kepler Problem
7 The KEPLER Program
8 Some Perturbed Keplerian Systems
9 The Multi-Body Gravitational Problem
Bibliography
Index
Preface
List of Figures
1 Introductory Survey
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4. Spectral and Dynamical Stability of Nonlinear Waves
by Todd Kapitula, Keith Promislow
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Applied Mathematical Sciences ; 185
オンライン: http://dx.doi.org/10.1007/978-1-4614-6995-7
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Introduction
Background material and notation
Essential and absolute spectra
Dynamical implications of spectra: dissipative systems
Dynamical implications of spectra: Hamiltonian systems
Point spectrum: reduction to finite-rank eigenvalue problems
Point spectrum: linear Hamiltonian systems
The Evans function for boundary value problems
The Evans function for Sturm-Liouville operators on the real line
The Evans function for nth-order operators on the real line
Index
References
Introduction
Background material and notation
Essential and absolute spectra
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5. Chaotic Dynamics in Nonlinear Theory
by Lakshmi Burra
出版情報: New Delhi : Springer India : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-81-322-2092-3
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Chapter 1. Topological Considerations
Chapter 2. Topological horseshoes and coin-tossing dynamics
Chapter 3. Chaotic Dynamics in the vertically driven planar pendulum
Chapter 4. Chaos in a pendulum with variable length
Chapter 1. Topological Considerations
Chapter 2. Topological horseshoes and coin-tossing dynamics
Chapter 3. Chaotic Dynamics in the vertically driven planar pendulum
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6. Homotopy Analysis Method in Nonlinear Differential Equations
by Shijun Liao
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
オンライン: http://dx.doi.org/10.1007/978-3-642-25132-0
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