Nonlinear dynamics : exploration through normal forms
著者
書誌事項
Nonlinear dynamics : exploration through normal forms
（Wiley series in nonlinear science）
Wiley, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book explains the method of normal forms and elaborates on the concept of non-uniqueness or freedom in the normal form expansion. It then goes on to explain how these techniques are used to study a broad spectrum of nonlinear systems.
目次
- The Text: Its Scope, Style, and Content
- Basic Concepts
- Naive Perturbation Theory (NPT)
- Formalism of Perturbation Expansion
- Problems with Eigenvalues That Have Negative Real Part
- Normal Form Expansion for Conservative Planar Systems
- Dissipative Planar Systems
- Nonautonomous Oscillatory Systems
- Problems with a Zero Eigenvalue
- Higher-Dimensional Hamiltonian Systems
- Higher-Dimensional Dissipative Systems
- Appendix
- Index.
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