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Rigid Body Dynamics
This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathe...
| Cote: | Libro Electrónico |
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| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Berlin/Boston :
De Gruyter, Inc.,
2018.
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| Collection: | De Gruyter Studies in Mathematical Physics Ser.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Intro; Contents; Introduction; The Creators of Rigid Body Dynamics; 1. Rigid Body Equations of Motion and Their Integration; 2. The Euler
- Poisson Equations and Their Generalizations; 3. The Kirchhoff Equations and Related Problems of Rigid Body Dynamics; 4. Linear Integrals and Reduction; 5. Generalizations of Integrability Cases. Explicit Integration; 6. Periodic Solutions, Nonintegrability, and Transition to Chaos; A. Derivation of the Kirchhoff, Poincaré
- Zhukovskii, and Four-Dimensional Top Equations; B. The Lie Algebra e(4) and Its Orbits
- C. Quaternion Equations and L-A Pair for the Generalized Goryachev
- Chaplygin TopD. The Hess Case and Quantization of the Rotation Number; E. Ferromagnetic Dynamics in a Magnetic Field; F. The Landau
- Lifshitz Equation, Discrete Systems, and the Neumann Problem; G. Dynamics of Tops and Material Points on Spheres and Ellipsoids; H. On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation; I. The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids; Bibliography; Index of Names; Index