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Jaume Llibre

Introduction to the Qualitative Theory of Differential Systems

Planar, Symmetric and Continuous Piecewise Linear Systems

Buch

The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. These differential systems are symmetric with respect to the origin of coordinates. This class of systems, driven by concrete applications, is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems, we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the dynamics at infinity. The behavior of… Mehr

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Produktdetails


Weitere Autoren: Teruel, Antonio E.
  • ISBN: 978-3-0348-0656-5
  • EAN: 9783034806565
  • Produktnummer: 15508143
  • Verlag: Springer Nature EN
  • Sprache: Englisch
  • Erscheinungsjahr: 2013
  • Seitenangabe: 289 S.
  • Masse: H23.5 cm x B15.5 cm 5'797 g
  • Abbildungen: Farb., s/w. Abb.
  • Gewicht: 5797
  • Sonstiges: Graduate

Über den Autor


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 important universities and research institutes and is the author of many papers and some books. His main results deal with the periodic orbits either of different kinds of self-maps, or of vector fields, Hamiltonian systems and celestial mechanics. Antonio E. Teruel is associated professor at the University of the Balear Islands (Spain). He is the author of some papers about piecewise linear differential systems. His main results deal with piecewise linear models of differential behaviors.

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