Bistability and chaos in the discrete two-gene Andrecut-Kauffman model

Speaker(s)

Mikołaj Rosman

Affiliation

Politechnika Gdańska

Language of the talk

English

Date

March 19, 2025, 2:15 p.m.

Room

room 5070

Seminar

Seminar of Biomathematics and Game Theory Group

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We numerically analyze the dynamics of the two-gene discrete Andrecut-Kauffman model with distinct reaction rates α1​ and α2​. By exploring bifurcation diagrams and computing the maximum Lyapunov exponent, we identify parameter regions exhibiting chaotic behavior and bistability — where two disjoint attractors coexist. Notably, these attractors can be of different kind (a periodic orbit and a chaotic attractor) or of the same kind (two periodic orbits or two chaotic attractors). This study builds upon our previous findings published in DCDS-B (Bistability and Chaos in the Discrete Two-Gene Andrecut-Kauffman Model). This research is joint work with Michał Palczewski, Paweł Pilarczyk and Agnieszka Bartłomiejczyk.

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