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• W2946563975 abstract "Two-stroke relaxation oscillations consist of two distinct phases per cycle - one slow and one fast - which distinguishes them from the well-known van der Pol-type 'four-stroke' relaxation oscillations. This type of oscillation can be found in singular perturbation problems in non-standard form, where the slow-fast timescale splitting is not necessarily reflected in a slow-fast variable splitting. The existing literature on such non-standard problems has developed primarily through applications - we compliment this by providing a general framework for the application of geometric singular perturbation theory in this non-standard setting and illustrate its applicability by proving existence and uniqueness results on a general class of two-stroke relaxation oscillators. We apply this non-standard geometric singular perturbation toolbox to a collection of examples arising in the dynamics of nonlinear transistors and models for mechanical oscillators with friction." @default.
• W2946563975 created "2019-05-29" @default.
• W2946563975 creator A5048073268 @default.
• W2946563975 creator A5089288259 @default.
• W2946563975 date "2020-03-18" @default.
• W2946563975 modified "2023-09-25" @default.
• W2946563975 title "Two-stroke relaxation oscillators" @default.
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• W2946563975 doi "https://doi.org/10.1088/1361-6544/ab6a77" @default.
• W2946563975 hasPublicationYear "2020" @default.
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