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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Local Invariants and Normal Formspoints, 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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Blow-up of Contact Pointsn extending the traditional methods of geometric singular perturbation theory near normally hyperbolic points to contact points. Besides presenting a full description of the blowing up of the well-known generic jump point and the generic turning point, extra properties are provided that play an important role in the subsequent chapters.

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Ordinary Canard Cyclesa number of results on limit cycles and their bifurcations, the canard phenomenon and canard explosion, notions like flying canard and sitting canard. Existing results are overviewed, presented in a unified and orderly way, and extended to a generality that includes some novel results. Complete proofs are provided.

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Transitory Canard Cycles with Fast–fast Passage Through a Jump Point the blow up technique, is even more delicate than in the case treated in Chap. .. A new problem comes from the fact that in the blow up it is not yet clear how to optimally combine the partial results obtained in different sectors.

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