Titlebook: Canard Cycles; From Birth to Transi Peter De Maesschalck,Freddy Dumortier,Robert Rouss Book 2021 The Editor(s) (if applicable) and The Auth

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Book 2021troduction to slow-fast systems, suitable for graduate students. The second and third parts will be of interest to both pure mathematicians working on theoretical questions such as Hilbert‘s 16th problem, as well as to a wide range of applied mathematicians looking for a detailed understanding of tw

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Canard Cycles978-3-030-79233-6Series ISSN 0071-1136 Series E-ISSN 2197-5655

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https://doi.org/10.1007/978-3-7091-7501-9the variation of situations that is dealt with, as well as examples that are beyond the scope of the book. Attention also goes to the more common and more restricted definitions. The chapter ends by stressing the big difference between singular points that are normally hyperbolic and the other ones, that are called contact points.

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https://doi.org/10.1007/978-3-7091-7501-9points, both in an intrinsic way as in a more practical way by using the normal form. A precise definition is given for notions like jump point and turning point, as well as for more complicated contact points.

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Obsequious

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https://doi.org/10.1007/3-540-05462-6h in adapted monomials. These functions are needed to precisely describe the local transition maps and their compositions. Interesting properties are introduced in order to control the number of zeroes or of fixed points.

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