Approximation procedures in nonlinear oscillation theory /
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin ; New York :
W. de Gruyer,
1994.
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Colección: | De Gruyter series in nonlinear analysis and applications ;
2. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface
- Contents
- Chapter I: Basic Concepts
- Â 1 Equations for oscillatory systems
- Â 2 The shift operator and first return function
- Â 3 Integral and integrofunctional operators for periodic problem
- Â 4 The harmonic balance method
- Â 5 The method of mechanical quadratures
- Â 6 The collocation method
- Â 7 The method of finite differences
- Â 8 Factor methods
- Chapter II: Existence theorems for oscillatory regimes
- Â 1 Smooth manifolds and differential forms
- Â 2 Degree of a mapping
- Â 3 Rotation of vector fields
-  4 Completely continuous vector fields 5 Fixed point principles and solution of operator equations
- Â 6 Forced oscillations in systems with weak nonlinearities
- Â 7 Oscillations in systems with strong nonlinearities. Directing functions method
- Chapter III: Convergence of numerical procedures
- Â 1 Projection methods
- Â 2 Factor methods
- Â 3 Convergence of the harmonic balance method and the collocation method in the problem of periodic oscillations
- Â 4 Convergence of the method of mechanical quadratures
-  5 Convergence of the method of finite differences 6 Numerical procedures of approximate construction of oscillatory regimes in autonomous systems
- Â 7 Affinity theory
- Â 8 Effective convergence criteria for numerical procedures
- Â 9 Effective estimates of the convergence rate for the harmonic balance method
- Notes on the References
- References
- Index