Verfügbarkeit: Rigid body dynamics

Rigid body dynamics:

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Hauptverfasser:	Borisov, Alexey V. (VerfasserIn), Mamaev, Ivan S. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Boston De Gruyter [2019] Berlin ; Boston Higher Education Press
Schriftenreihe:	De Gruyter Studies in Mathematical Physics Volume 52
Schlagworte:	Dynamik Starrer Körper Festkörper
Online-Zugang:	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110542790&searchTitles=true Inhaltsverzeichnis
Beschreibung:	VII, 520 Seiten Illustrationen, Diagramme 24 cm x 17 cm
ISBN:	9783110542790

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS INTRODUCTION * 1 THE CREATORS OF RIGID BODY DYNAMICS * 9 1 RIGID BODY EQUATIONS OF MOTION AND THEIR INTEGRATION * 16 1.1 POISSON BRACKETS AND HAMILTONIAN FORMALISM * 16 1.2 POINCARE AND POINCARE - CHETAEV EQUATIONS * 21 1.3 VARIOUS SYSTEMS OF VARIABLES IN RIGID BODY DYNAMICS * 26 1.4 DIFFERENT FORMS OF EQUATIONS OF MOTION * 34 1.5 EQUATIONS OF MOTION OF A RIGID BODY IN EUCLIDEAN SPACE * 44 1.6 EXAMPLES AND SIMILAR PROBLEMS * 47 1.7 THEOREMS ON INTEGRABILITY AND METHODS OF INTEGRATION * 60 2 THE EULER - POISSON EQUATIONS AND THEIR GENERALIZATIONS * 71 2.1 EULER - POISSON EQUATIONS AND INTEGRABLE CASES * 71 2.2 THE EULER CASE ----- 81 2.3 THE LAGRANGE CASE * 87 2.4 THE KOVALEVSKAYA CASE * 97 2.5 THE GORYACHEV-CHAPLYGIN CASE * 116 2.6 PARTIAL SOLUTIONS OF THE EULER-POISSON EQUATIONS * 125 2.7 EQUATIONS OF MOTION OF A HEAVY GYROSTAT * 144 2.8 SYSTEMS OF LINKED RIGID BODIES, A ROTATOR * 152 3 THE KIRCHHOFF EQUATIONS AND RELATED PROBLEMS OF RIGID BODY DYNAMICS * 157 3.1 KIRCHHOFF EQUATIONS * 157 3.2 POINCARE - ZHUKOVSKII EQUATIONS * 179 3.3 A REMARKABLE LIMIT CASE OF THE POINCARS - ZHUKOVSKII EQUATIONS. A COUNTABLE FAMILY OF FIRST INTEGRALS * 198 3.4 RIGID BODY IN AN ARBITRARY POTENTIAL FIELD * 204 4 LINEAR INTEGRALS AND REDUCTION * 217 4.1 LINEAR INTEGRALS IN RIGID BODY DYNAMICS * 217 4.2 DYNAMICAL SYMMETRY AND LAGRANGE INTEGRAL * 227 4.3 GENERALIZATIONS OF THE HESS CASE * 234 5 GENERALIZATIONS OF INTEGRABILITY CASES. EXPLICIT INTEGRATION * 241 5.1 VARIOUS GENERALIZATIONS OF THE KOVALEVSKAYA AND GORYACHEV - CHAPLYGIN CASES * 241 5.2 SEPARATION OF VARIABLES * 253 5.3 ALGEBRAIC TRANSFORMATIONS OF POISSON BRACKETS. ISOMORPHISMS AND EXPLICIT INTEGRATION * 268 6 PERIODIC SOLUTIONS, NONINTEGRABILITY, AND TRANSITION TO CHAOS * 276 6.1 NONINTEGRABILITY OF RIGID BODY DYNAMICS EQUATIONS. CHAOTIC MOTIONS. A SURVEY OF RESULTS AND UNSOLVED PROBLEMS * 276 6.2 PERIODIC AND ASYMPTOTIC SOLUTIONS IN EULER - POISSON EQUATIONS AND RELATED PROBLEMS * 290 6.3 ABSOLUTE AND RELATIVE CHOREOGRAPHIES IN RIGID BODY DYNAMICS * 295 6.4 CHAOTIC MOTIONS. GENEALOGY OF PERIODIC ORBITS * 311 6.5 CHAOS EVOLUTION IN THE RESTRICTED PROBLEM OF HEAVY RIGID BODY ROTATION ----- 315 6.6 ADIABATIC CHAOS IN THE LIOUVILLE EQUATIONS * 329 6.7 FALLING HEAVY RIGID BODY IN AN IDEAL FLUID. PROBABILISTIC EFFECTS AND ATTRACTING SETS * 342 A DERIVATION OF THE KIRCHHOFF, POINCAROE - ZHUKOVSKII, AND FOUR-DIMENSIONAL TOP EQUATIONS * 371 B THE LIE ALGEBRA E(4) AND ITS ORBITS * 387 C QUATERNION EQUATIONS AND L-A PAIR FOR THE GENERALIZED GORYACHEV - CHAPLYGIN TOP * 390 D THE HESS CASE AND QUANTIZATION OF THE ROTATION NUMBER * 394 E FERROMAGNETIC DYNAMICS IN A MAGNETIC FIELD * 412 F THE LANDAU - LIFSHITZ EQUATION, DISCRETE SYSTEMS, AND THE NEUMANN PROBLEM * 415 G DYNAMICS OF TOPS AND MATERIAL POINTS ON SPHERES AND ELLIPSOIDS * 420 H ON THE MOTION OF A HEAVY RIGID BODY IN AN IDEAL FLUID WITH CIRCULATION * 431 I THE HAMILTONIAN DYNAMICS OF SELF-GRAVITATING FLUID AND GAS ELLIPSOIDS ----- 442 1.1 DYNAMICS OF A SELF-GRAVITATING FLUID ELLIPSOID * 443 1.2 DYNAMICS OF A GAS CLOUD WITH ELLIPSOIDAL STRATIFICATION * 465 BIBLIOGRAPHY * 483 INDEX OF NAMES * 511 INDEX * 515
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author	Borisov, Alexey V. Mamaev, Ivan S.
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ctrlnum	(OCoLC)1079407623 (DE-599)DNB1127764616
discipline	Physik
format	Book
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spelling	Borisov, Alexey V. Verfasser aut Rigid body dynamics Alexey V. Borisov, Ivan S. Mamaev Berlin ; Boston De Gruyter [2019] Berlin ; Boston Higher Education Press VII, 520 Seiten Illustrationen, Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter Studies in Mathematical Physics Volume 52 Dynamik (DE-588)4013384-9 gnd rswk-swf Starrer Körper (DE-588)4182935-9 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Starrer Körper (DE-588)4182935-9 s Dynamik (DE-588)4013384-9 s DE-604 Festkörper (DE-588)4016918-2 s 1\p DE-604 Mamaev, Ivan S. Verfasser aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als 978-3-11-054445-9 Erscheint auch als Online-Ausgabe 978-3-11-054444-2 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-054297-4 De Gruyter Studies in Mathematical Physics Volume 52 (DE-604)BV040141722 52 X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110542790&searchTitles=true DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030298261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Borisov, Alexey V. Mamaev, Ivan S. Rigid body dynamics De Gruyter Studies in Mathematical Physics Dynamik (DE-588)4013384-9 gnd Starrer Körper (DE-588)4182935-9 gnd Festkörper (DE-588)4016918-2 gnd
subject_GND	(DE-588)4013384-9 (DE-588)4182935-9 (DE-588)4016918-2
title	Rigid body dynamics
title_auth	Rigid body dynamics
title_exact_search	Rigid body dynamics
title_full	Rigid body dynamics Alexey V. Borisov, Ivan S. Mamaev
title_fullStr	Rigid body dynamics Alexey V. Borisov, Ivan S. Mamaev
title_full_unstemmed	Rigid body dynamics Alexey V. Borisov, Ivan S. Mamaev
title_short	Rigid body dynamics
title_sort	rigid body dynamics
topic	Dynamik (DE-588)4013384-9 gnd Starrer Körper (DE-588)4182935-9 gnd Festkörper (DE-588)4016918-2 gnd
topic_facet	Dynamik Starrer Körper Festkörper
url	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110542790&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030298261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV040141722
work_keys_str_mv	AT borisovalexeyv rigidbodydynamics AT mamaevivans rigidbodydynamics AT walterdegruytergmbhcokg rigidbodydynamics

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