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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Frontiers in Applied Dynamical Systems: Reviews and Tutorials383610.jpg

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Agronomy

暫時(shí)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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Ergots

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).

Instinctive

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.

COWER

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).