Relaxation oscillations and canards of a regulated two-gene model

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. (c) 2021 Elsevier Inc. All rights reserved.

Publication year:2021

Keywords:Gene expression, Regulatory network, Canards, Relaxation oscillations, Singular Hopf bifurcation, Geometric singular perturbation theory

BOF-keylabel:yes

IOF-keylabel:yes

BOF-publication weight:2

Authors:International

Authors from:Higher Education

Accessibility:Open