Relaxation oscillations and canards of a regulated two–gene model

P. De Maesschalck, G. Kiss, A. Kovacs

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We investigate a two–gene system with an autoregulatory feedback loop using geometric singular perturbation theory. We identify (coexisting) relaxation oscillations, singular Hopf bifurcations, homoclinic loops etc. We also demonstrate a new method to compute the criticality of the singular Hopf bifurcations.
Original languageEnglish
Article number125144
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Issue number1
Early online date20 Mar 2021
Publication statusPublished - 01 Oct 2021


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