9783031270949 - Dynamics through First-Order Differential Equations in the Configuration Space von Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín (5 Ergebnisse)

Zustand: New. In.

Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 368 | Sprache: Englisch | Produktart: Bücher | 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.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Hardcover. Zustand: Brand New. 367 pages. 9.25x6.10x9.21 inches. In Stock.

Zustand: New.