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Dynamics through First-Order Differential Equations in the Configuration Space

Language EnglishEnglish
Book Paperback
Book Dynamics through First-Order Differential Equations in the Configuration Space Valentín Ramírez
Libristo code: 45871209
Publishers Springer Nature Switzerland, May 2023
The goal of this monograph is to answer the question, is it possible to solve the dynamics problem i... Full description
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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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About the book

Full name Dynamics through First-Order Differential Equations in the Configuration Space
Language English
Binding Book - Paperback
Date of issue 2023
Number of pages 368
EAN 9783031270970
ISBN 3031270975
Libristo code 45871209
Weight 557
Dimensions 155 x 235 x 20
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