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• W2989795695 abstract "Canard cycles are periodic orbits that appear as special solutions of fast-slow systems (or singularly perturbed Ordinary Differential Equations). It is well known that canard cycles are difficult to detect, hard to reproduce numerically, and that they are sensible to exponentially small changes in parameters. In this paper we combine techniques from geometric singular perturbation theory, the blow-up method, and control theory, to design controllers that stabilize canard cycles of planar fast-slow systems with a folded critical manifold. As an application, we propose a controller that produces stable mixed-mode oscillations in the van der Pol oscillator." @default.
• W2989795695 created "2019-12-05" @default.
• W2989795695 creator A5024817853 @default.
• W2989795695 creator A5029419062 @default.
• W2989795695 date "2019-11-26" @default.
• W2989795695 modified "2023-09-27" @default.
• W2989795695 title "Controlling Canard Cycles." @default.
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• W2989795695 hasPublicationYear "2019" @default.
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