Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space By introducing a proper class of vector field - the Cartesian vector field - given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics. 368 pp. Englisch. Codice articolo 9783031270949

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Dynamics through First-Order Differential Equations in the Configuration Space

Llibre, Jaume|Ram�rez, Rafael|Ram�rez, Valent�n

Editore: Springer, Berlin|Springer Nature Switzerland|Birkh�user, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space? By introducing a proper class of vector field - the Cartesian vector field - given in a Riemann spa. Codice articolo 803179988

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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre

Editore: Springer Nature Switzerland, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Da: AHA-BUCH GmbH, Einbeck, Germania

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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space By introducing a proper class of vector field - the Cartesian vector field - given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics. Codice articolo 9783031270949

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