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In this paper, we describe a novel type of relaxation oscillations occurring in a model of substrate-depletion oscillators. Using geometric singular perturbation theory, with blow-up as a key technical tool,… Click to show full abstract
In this paper, we describe a novel type of relaxation oscillations occurring in a model of substrate-depletion oscillators. Using geometric singular perturbation theory, with blow-up as a key technical tool, we show that the oscillations in this planar model are produced by a complicated interplay between two stable nodes and a discontinuity set in the singular limit ɛ → 0. This interplay produces a new mechanism for producing relaxation-type oscillations, which we also describe in a more general setting.
Keywords:
substrate depletion;
relaxation;
limit;
relaxation oscillations;
depletion oscillators
Journal Title: Nonlinearity
Year Published: 2019
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!