Freddy Dumortier

Qualitative Theory of Planar Differential Systems

Ebook (PDF Format)

This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the mai… Mehr

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Produktdetails

Weitere Autoren: Llibre, Jaume / Artés, Joan C.

ISBN: 978-3-540-32902-2
EAN: 9783540329022
Produktnummer: 33310479
Verlag: Springer-Verlag GmbH
Sprache: Englisch
Erscheinungsjahr: 2006
Seitenangabe: 302 S.
Plattform: PDF
Masse: 5'777 KB
Auflage: 2006
Abbildungen: 10 schwarz-weiße Tabellen, Bibliographie

Über den Autor

FREDDY DUMORTIER is full professor at Hasselt University (Belgium), and a member of the Royal Flemish Academy of Belgium for Science and the Arts. He was a long-term visitor at different important universities and research institutes. He is the author of many papers and his main results deal with singularities and their unfolding, singular perturbations, Lienard equations and Hilbert's 16th problem.JAUME LLIBRE is full professor at the Autonomous University of Barcelona (Spain), he is 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. He is the author of many papers and had a large number of Ph. D. students. His main results deal with periodic orbits, topological entropy, polynomial vector fields, Hamiltonian systems and celestial mechanics. JOAN C. ARTES is professor at the Autonomous University of Barcelona (Spain). His main results deal with polynomial vector fields, more concretely quadratic ones. He programmed, some 20 years ago, the first version of P4 (only for quadratic systems) from which the program P4 was developed with the help of Chris Herssens and Peter De Maesschalck.