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Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
- Prelegent(ci)
- Mikołaj Rosman
- Afiliacja
- Politechnika Gdańska
- Język referatu
- angielski
- Termin
- 19 marca 2025 14:15
- Pokój
- p. 5070
- Seminarium
- Seminarium Zakładu Biomatematyki i Teorii Gier
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.
