Könyv Dynamics through First-Order Differential Equations in the Configuration Space Valentín Ramírez

Dynamics through First-Order Differential Equations in the Configuration Space

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
57 885 Ft
The goal of this monograph is to answer the question, is it possible to solve the dynamics problem i...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2023
oldal
368
EAN
9783031270970
ISBN
3031270975
Enbook ID
45871209
Súly
557
Méretek
155 x 235 x 20

Teljes leírás

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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