Dynamics through First-Order Differential Equations in the Configuration Space

Author:   Jaume Llibre ,  Rafael Ramírez ,  Valentín Ramírez
Publisher:   Birkhauser Verlag AG
ISBN:  

9783031270970


Pages:   345
Publication Date:   27 May 2023
Format:   Paperback
Availability:   In Print   Availability explained
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Dynamics through First-Order Differential Equations in the Configuration Space


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Author:   Jaume Llibre ,  Rafael Ramírez ,  Valentín Ramírez
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
ISBN:  

9783031270970


ISBN 10:   3031270975
Pages:   345
Publication Date:   27 May 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Chapter. 1. Dynamics via the first order ordinary differential equations.- Chapter. 2. Constrained Cartesian vector fields.- Chapter. 3. Three dimensional constrained Cartesian vector fields.- Chapter. 4. Cartesian-Synge-Cinsov vector field.- Chapter. 5. Generalized Cartesian-Nambu vector fields.- Chapter. 6. Integrability of generalized Cartesian-Nambu vector fields.

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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.

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