{"product_id":"rigid-body-dynamics-9783110542790","title":"Rigid Body Dynamics","description":"\u003cp\u003eThis 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 mathematics, physics and mechanics. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents \u003c\/strong\u003e\u003cbr\u003eRigid Body Equations of Motion and Their Integration \u003cbr\u003eThe Euler – Poisson Equations and Their Generalizations \u003cbr\u003eThe Kirchhoff Equations and Related Problems of Rigid Body Dynamics \u003cbr\u003eLinear Integrals and Reduction \u003cbr\u003eGeneralizations of Integrability Cases. Explicit Integration \u003cbr\u003ePeriodic Solutions, Nonintegrability, and Transition to Chaos \u003cbr\u003eAppendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations \u003cbr\u003eAppendix B: The Lie Algebra \u003cem\u003ee\u003c\/em\u003e(4) and Its Orbits \u003cbr\u003eAppendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top \u003cbr\u003eAppendix D: The Hess Case and Quantization of the Rotation Number \u003cbr\u003eAppendix E: Ferromagnetic Dynamics in a Magnetic Field \u003cbr\u003eAppendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem \u003cbr\u003eAppendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids \u003cbr\u003eAppendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation \u003cbr\u003eAppendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids \u003c\/p\u003e","brand":"Alexey Borisov","offers":[{"title":"Default Title","offer_id":48262067847419,"sku":"9783110542790","price":194.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0779\/3917\/9771\/files\/CoreSourceHub_32483f11-aa0c-45a6-8c98-665d261f293d.jpg?v=1778452379","url":"https:\/\/indiepubs.com\/products\/rigid-body-dynamics-9783110542790","provider":"IndiePubs","version":"1.0","type":"link"}