Germs of Diffeomorphisms in the Plane

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Springer-Verlag, 1981 - Mathematics - 197 pages
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Contents

Summary some motivation and acknowledgments
1
Introduction definitions formal study
7
Statement of the results concerning characteristic
26
Copyright

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About the author (1981)

Freddy Dumortier is full professor at Hasselt University (Belgium), he is a member of the Royal Flemish Academy of Belgium for Sciences and the Arts, and he was president of the Belgian Mathematical Society. He was a long term visitor at different important universities and research institutes. He is the author of many papers and was the organizer of different international conferences among which Equadiff 2003 in Hasselt. 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. He was the organizer of different international conferences among which four HAMSYS meetings and five encounters in Dynamical Systems. His main results deal with periodic orbits, topological entropy, polynomial vector fields, Hamiltonian systems and celestial mechanics. Joan C. Artis is professor at the Autonomous University of Barcelona (Spain). His main results deal with polynomial vector fields, more concretely quadratic ones. He programmed the first version of P4 (only for quadratic systems) in the 80's from which the program P4 was developed with the help of Chris Herssens and Peter De Maesschalck.

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