Rigid Body Dynamics / / Alexey Borisov, Ivan S. Mamaev.
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...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2019 |
| Year of Publication: | 2018 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematical Physics ,
52 |
| Online Access: | |
| Physical Description: | 1 online resource (VII, 526 p.) |
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Table of Contents:
- Frontmatter
- 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 Top
- D. 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