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Cărți în limba engleză > Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations > Dynamics through First-Order Differential Equations in the Configuration Space

Dynamics through First-Order Differential Equations in the Configuration Space

Name: Dynamics through First-Order Differential Equations in the Configuration Space
Brand: Springer, Berlin
SKU: 42823942
Price: 809.27 RON
Availability: InStock
Author: Jaume Llibre
ISBN: 9783031270949

Jaume Llibre

Rafael Ramírez

Valentín Ramírez

Limba

engleză

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Codul Libristo: 42823942

Editura Springer, Berlin, iunie 2023

The goal of this monograph is to answer the question, is it possible to solve the dynamics problem i... Descrierea completă

Codul Libristo: 42823942

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809.27 lei

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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.