Dynamics through First-Order Differential Equations in the Configuration Space

Name: Dynamics through First-Order Differential Equations in the Configuration Space
Brand: Springer Nature Switzerland
SKU: 9783031270970
Price: 824.66 RON
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Autor: Valentín Ramírez, Rafael Ramírez

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Editura: Springer Nature Switzerland

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

Informații despre carte

Autor

Valentín Ramírez, Rafael Ramírez

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2023

Pagini

368

EAN

9783031270970

ISBN

3031270975

Enbook ID

45871209

Editura

Springer Nature Switzerland

Greutate

557

Dimensiuni

155 x 235 x 20

Descriere completă

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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Dynamics through First-Order Differential Equations in the Configuration Space

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