Dynamics through First-Order Differential Equations in the Configuration Space Hardback
by Jaume Llibre, Rafael Ramirez, Valentin Ramirez
Hardback
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Description
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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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:345 pages, 2 Illustrations, color; 3 Illustrations, black and white; XXII, 345 p. 5 illus., 2 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:26/04/2023
- Category:
- ISBN:9783031270949
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:345 pages, 2 Illustrations, color; 3 Illustrations, black and white; XXII, 345 p. 5 illus., 2 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:26/04/2023
- Category:
- ISBN:9783031270949