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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B. Riffel,B. Sommer-Edlinger,H. KroissIn generating closed orbits from slow-fast cycles it is necessary to make use of so called breaking mechanisms. The chapter deals with the most generic ones, namely the jump breaking mechanism and the Hopf breaking mechanism. A description, accompanied by examples, is given.

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Skeletal Muscle Tone and PostureCenter manifolds play an essential role in controlling the dynamics near curves of singularities. In this chapter we provide a self-contained proof of their existence, stressing the fact that they are smooth in the cases treated in the book.

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P. Wehling,S. J. Pak,K. P. ClevelandThis chapter deals with transitory canard cycles containing a generic slow-fast passage through a jump point. The detailed analysis, heavily relying on the blow up technique, is more delicate than for an ordinary canard cycle, since ne has to take care of the fact that the slow divergence integral is only piecewise smooth.