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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
regulated two;
canards regulated;
oscillations canards;
two gene;
relaxation oscillations
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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recommendations!