Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre

ISBN 10: 3031270940 / ISBN 13: 9783031270949

Published by Springer Nature Switzerland Apr 2023, 2023

About this Item

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. Seller Inventory # 9783031270949

Bibliographic Details

Title: Dynamics through First-Order Differential ...

Publisher: Springer Nature Switzerland Apr 2023

Publication Date: 2023

Binding: Buch

Condition: Neu