{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":17,"n_cols":5,"rows_kept":17,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[11,2,11,3],[12,2,12,3],[14,2,14,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910812637403321"]
[null,null,"Autore",null,"Borisov A. V (Alekseĭ Vladimirovich)"]
[null,null,"Titolo",null,"Rigid body dynamics / / Alexey V. Borisov, Ivan S. Mamaev"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; Boston : , : De Gruyter : , : Higher Education Press, , 2019"]
[null,null,"ISBN",null,"3-11-054297-8"]
[{"$nulls":4},"3-11-054444-X"]
[null,null,"Descrizione fisica",null,"1 online resource (530 pages)"]
[null,null,"Collana",null,"De Gruyter Studies in Mathematical Physics"]
[null,null,"Classificazione",null,"UF 1950"]
[null,null,"Disciplina",null,"531.3"]
[null,null,"Soggetti",null,"Dynamics, Rigid"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"Sommario/riassunto","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 mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler - Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit "]
[{"$nulls":4},"Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré - Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev - Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau - Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids"]