Titlebook: Geometric Singular Perturbation Theory Beyond the Standard Form; Martin Wechselberger Book 2020 The Editor(s) (if applicable) and The Auth

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暫時休息

Martin WechselbergerFirst of its kind to discuss geometric singular perturbation theory in a coordinate-independent setting.Serves as an accessible entry point into the study of multiple time-scale dynamical systems.Cove

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This chapter is devoted to present a geometric approach to singular perturbation theory for ordinary differential equations. The material is based on Fenichel’s seminal work on . with a particular emphasis on his coordinate-independent approach (see [.], Sections 5–9).

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As mentioned in the previous chapter, the local dynamics near regular jump points indicate one possibility for solutions of a general singular perturbation problem (.), respectively, (.) to switch from slow to fast dynamics (or vice versa) which is key for any global relaxation oscillatory behaviour.

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Developments in Transport StudiesFinally, we briefly mention a few selected topics on GSPT that have not been covered in this manuscript. This list of topics is non-inclusive—it is an author’s choice (like all topics covered in this manuscript).