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Author: Freddy Dumortier

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Peter De Maesschalck, born in 1975, has been at Hasselt University, Belgium, for much of his career. His research focuses on slow-fast systems in low dimensional systems both from a qualitative point of view and from the point of view of asymptotic expansions. Part of his research is inspired by theoretical questions such as Hilbert”s 16th problem on limit cycles of polynomial systems, another part is motivated by applications of slow-fast systems in, e.g., neurological models. Freddy Dumortier, born in 1947, emeritus professor at Hasselt University, is former president of the Belgian Mathematical Society and is currently permanent secretary of the Royal Flemish Academy of Belgium for Science and the Arts. He is the author of many papers and his main results deal with singularities and their unfolding, bifurcation theory, Liénard equations, Hilbert”s 16th problem, slow-fast systems and the wave speed in reaction-diffusion equations. Robert Roussarie, born in 1944, is emeritus professor of the University of Bourgogne-Franche Comté. After a career at the CNRS he was professor at the Institut de Mathématique de Bourgogne. He worked on the theory of foliations, of singularities in differential geometry, bifurcations of vector fields and finally slow-fast systems. He also contributed to applied research on ferro-resonance in electrical networks, systems of ecological populations, systems in control theory and free interface problems in combustion theory.




4 Ebooks by Freddy Dumortier

Freddy Dumortier & Henk W Broer: EQUADIFF 2003
This comprehensive volume contains the state of the art on ODE’s and PDE’s of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point …
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English
DRM
€710.05
Joan C. Artes & Freddy Dumortier: Qualitative Theory of Planar Differential Systems
Our aim is to study ordinary di?erential equations or simply di?erential s- tems in two real variables x ? = P(x, y), (0.1) y? = Q(x, y), r 2 where P and Q are C functions de?ned on an open subset U …
PDF
English
DRM
€80.85
Freddy Dumortier & Robert Roussarie: Bifurcations of Planar Vector Fields
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important …
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English
DRM
€51.14
Peter De Maesschalck & Freddy Dumortier: Canard Cycles
This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of …
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English
€128.39