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Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre, Rafael Ramírez & Valentín Ramírez

Dynamics through First-Order Differential Equations in the Configuration Space
Dynamics through First-Order Differential Equations in the Configuration Space

Dynamics through First-Order Differential Equations in the Configuration Space

Jaume Llibre, Rafael Ramírez & Valentín Ramírez

Hardback / bound | English
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Description

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.

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.

Specifications

  • Publisher
    Birkhauser Verlag AG
  • Pub date
    Apr 2023
  • Theme
    Differential calculus and equations
  • Dimensions
    235 x 155 mm
  • EAN
    9783031270949
  • Hardback / bound
    Hardback / bound
  • Language
    English