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丛书简介
力学基础与工程技术前沿
刚体动力学 (英文版)
作 者:
A. V. Borisov, I. S. Mamaev
ISBN:978-7-04-050235-0 出版时间:2018-08-20
全书目录
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Introduction 1
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
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