Dynamics Through First-order Differential Equations in the Configuration Space - Couverture rigide

Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín

Couverture rigide

ISBN 10 : 3031270940 ISBN 13 : 9783031270949

Editeur : Birkhauser Verlag AG, 2023

Synopsis

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.

A propos du livre

À propos de l?auteur

Jaume Llibre is full professor at the Autonomous University of Barcelona (Spain) and a member of the Royal Academy of Sciences and Arts of Barcelona. He was a long-term visitor at different universities and research institutes. He is the author of many papers and has a large number of collaborators and Ph.D. students. His main results deal with periodic orbits, integrability, averaging theory, polynomial vector fields, Hamiltonian systems, celestial mechanics, and topological entropy.

Rafael Ramírez studied at the Peoples Friendship University (UDN) and read his PhD thesis under the direction of Professor A.C. Galiullin. He is a professor at the Rovira i Virgili University of Tarragona (Spain) and is a collaborator of PhD students. His main results deal with the inverse problem of ordinary differential equations, mechanics, and nonholonomic systems.

Valentín Ramírez studied at the University of Barcelona and read his PhD thesis under the direction of Professor J. Llibre. His main results deal with qualitative theory of ordinary differential equations, in particular with the center-focus problem, integrability, and development of mathematical models of financial risks.

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031270940
• ISBN 13: 9783031270949
• Reliure: Relié
• Nombre de pages: 367
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne