Dynamics through First-Order Differential Equations in the Configuration Space

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

ISBN 10: 3031270940 ISBN 13: 9783031270949

Editorial: Birkhäuser, 2023

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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.

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Jaume Llibre is full professor at the Autonomous University of Barcelona (Spain) and a member of the Royal Academy of Sciences and Arts of Barcelona. He was a long-term visitor at different universities and research institutes. He is the author of many papers and has a large number of collaborators and Ph.D. students. His main results deal with periodic orbits, integrability, averaging theory, polynomial vector fields, Hamiltonian systems, celestial mechanics, and topological entropy.

Rafael Ram�rez studied at the Peoples Friendship University (UDN) and read his PhD thesis under the direction of Professor A.C. Galiullin. He is a professor at the Rovira i Virgili University of Tarragona (Spain) and is a collaborator of PhD students. His main results deal with the inverse problem of ordinary differential equations, mechanics, and nonholonomic systems.

Valent�n Ram�rez studied at the University of Barcelona and read his PhD thesis under the direction of Professor J. Llibre. His main results deal with qualitative theory of ordinary differential equations, in particular with the center-focus problem, integrability, and development of mathematical models of financial risks.

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T�tulo: Dynamics through First-Order Differential ...
Editorial: Birkh�user
A�o de publicaci�n: 2023
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Condici�n: New

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Dynamics through First-Order Differential Equations in the Configuration Space

Ram�rez, Valent�n

Publicado por Springer, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Condici�n: Hervorragend. Zustand: Hervorragend | Seiten: 368 | Sprache: Englisch | Produktart: B�cher | Keine Beschreibung verf�gbar. N� de ref. del art�culo: 41660282/1

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Dynamics through First-Order Differential Equations in the Configuration Space

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

Publicado por Springer, Berlin|Springer Nature Switzerland|Birkh�user, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Condici�n: 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. N� de ref. del art�culo: 803179988

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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre (u. a.)

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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre

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ISBN 10: 3031270940 ISBN 13: 9783031270949

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Buch. Condici�n: 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. N� de ref. del art�culo: 9783031270949

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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre

Publicado por Springer Nature Switzerland, Springer Nature Switzerland Apr 2023, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Buch. Condici�n: Neu. 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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 368 pp. Englisch. N� de ref. del art�culo: 9783031270949

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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre

Publicado por Springer Nature Switzerland Apr 2023, 2023

ISBN 10: 3031270940 ISBN 13: 9783031270949

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Buch. Condici�n: 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. N� de ref. del art�culo: 9783031270949

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