Bibliography

Chapters in this book

1. Frontmatter I
2. Contents V
3. Introduction 1
4. The Creators of Rigid Body Dynamics 9
5. 1. Rigid Body Equations of Motion and Their Integration 16
6. 2. The Euler – Poisson Equations and Their Generalizations 71
7. 3. The Kirchhoff Equations and Related Problems of Rigid Body Dynamics 157
8. 4. Linear Integrals and Reduction 217
9. 5. Generalizations of Integrability Cases. Explicit Integration 241
10. 6. Periodic Solutions, Nonintegrability, and Transition to Chaos 276
11. A. Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations 371
12. B. The Lie Algebra e(4) and Its Orbits 387
13. C. Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top 390
14. D. The Hess Case and Quantization of the Rotation Number 394
15. E. Ferromagnetic Dynamics in a Magnetic Field 412
16. F. The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem 415
17. G. Dynamics of Tops and Material Points on Spheres and Ellipsoids 420
18. H. On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation 431
19. I. The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids 442
20. Bibliography 483
21. Index of Names 511
22. Index 515