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OverviewFull Product DetailsAuthor: Alexey Borisov , Ivan S. Mamaev , Higher Education Press Ltd. Comp.Publisher: De Gruyter Imprint: De Gruyter Volume: 52 Dimensions: Width: 17.00cm , Height: 2.90cm , Length: 24.00cm Weight: 1.010kg ISBN: 9783110542790ISBN 10: 311054279 Pages: 533 Publication Date: 03 December 2018 Audience: Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsTable of Contents Chapter 1. Rigid Body Equations of Motion and their Integration 1.1. Poisson Brackets and Hamiltonian Formalism 1.2. Poincar´e and Poincar´e–Chetaev Equations 1.3. Various systems of variables in rigid body dynamics 1. 4. Different Forms of Equations of Motion 1.5. Equations of Motion of a Rigid Body in Euclidean Space 1. 6. Examples and Similar Problems 1. 7. Theorems on inerrability and methods of integration Chapter 2. The Euler–Poisson equations and their generalizations 2.1. Euler–Poisson equations and integrable cases 2.2. The Euler case 2.3. The Lagrange case 2.4. The Kovalevskaya case 2.5. The Goryachev–Chaplygin case 2.6. Partial solutions of the Euler–Poisson equations 2.7. Equations of motion of a heavy gyrostat 2.8. Systems of linked rigid bodies, a rotator Chapter 3. Kirchhoff Equations 3.1. Poincar´e–Zhukovskii Equations 3.2. A Remarkable Limit Case of the Poincar´e–Zhukovskii Equations 3.3. Rigid body in an Arbitrary Potential Field Chapter 4. Linear Integrals and Reduction 4.1. Linear Integrals in Rigid Body Dynamics 4.2. Dynamical Symmetry and Lagrange Integral 4.3. Generalizations of the Hess Case Chapter 5. Generalizations of Inerrability Cases 5. 1. Various Generalizations of the Kovalevskaya and Goryachev– Chaplygin Cases 5.2. Separation of Variables 5.3. Isomorphism and Explicit Integration 5.4. Doubly Asymptotic Motions for Integrable Systems Chapter 6. Periodic Solutions, Nonintegrability, and Transition to Chaos 6. 1. Nonintegrability of Rigid Body Dynamics Equations 6. 2. Periodic and Asymptotic Solutions in Euler–Poisson Equations and Related Problems 6. 3. Absolute and Relative Choreographies in Rigid Body Dynamics 6. 4. Chaotic Motions. Genealogy of Periodic Orbits 6. 5. Chaos Evolution in the Restricted Problem of Heavy Rigid Body Rotation 6. 6. Adiabatic Chaos in the Liouville Equations 6. 7. Heavy Rigid Body Fall in Ideal Fluid. Probability Effects and Attracting Sets Appendix BibliographyReviewsAuthor InformationAlexey V. Borisov and Ivan S. Mamaev, Udmurt State University, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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