9783031270970 - dynamics through first-order differential equations in the configuration space von llibre, jaume; ramírez, rafael; ramírez, valentín (2 Ergebnisse)
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Taschenbuch. Zustand: Neu. Dynamics through First-Order Differential Equations in the Configuration Space | Jaume Llibre (u. a.) | Taschenbuch | xxii | Englisch | 2024 | Birkhäuser | EAN 9783031270970 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin,…juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Zustand: 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 Riema…nn 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.
