Dynamics Through First Order Differential Equations in the Configuration Space is popular PDF and ePub book, written by Jaume Llibre in 2023, it is a fantastic choice for those who relish reading online the Uncategoriezed genre. Let's immerse ourselves in this engaging Uncategoriezed book by exploring the summary and details provided below. Remember, Dynamics Through First Order Differential Equations in the Configuration Space can be Read Online from any device for your convenience.
Dynamics Through First Order Differential Equations in the Configuration Space Book PDF Summary
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.
Detail Book of Dynamics Through First Order Differential Equations in the Configuration Space PDF
- Author : Jaume Llibre
- Release : 29 September 2024
- Publisher : Unknown
- ISBN : 3031270967
- Genre : Uncategoriezed
- Total Page : 0 pages
- Language : English
- PDF File Size : 9,8 Mb
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