On nonlocal oscillations in 3D models of circular gene networks

A. V. Glubokikh ; V. P. Golubyatnikov

Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 2, pp. 34-42

Résumé

We construct three-dimensional dynamical systems with piecewise block-linear discontinuous right-hand side that simulate the simplest molecular oscillators. The phase portrait of each of these systems contains a unique equilibrium point and a cycle lying in the complement of the basin of attraction of this point. There are no other equilibrium points in these phase portraits.

Détail

Keywords: circular gene network model, phase portrait of nonlinear dynamical system, equilibrium point, step function, periodic trajectory
Mots-clés : invariant domain, nonlocal oscillation.

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