Speaker
Description
Systems of $N$ first-order autonomous ordinary-differential equations with polynomials of at most degree $n$ on the right-hand side, called $N$-dimensional $n$-degree polynomial dynamical systems (DSs), can display a rich set of solutions whose complexity increases with $N$ and $n$. When $N \ge 3$ and $n \ge 2$, polynomial DSs can exhibit chaos — aperiodic long-term behavior that is sensitive to initial conditions.A number of simple three-dimensional quadratic DSs are reported in the literature that display chaos with various properties, containing as few as $5$ or $6$ monomials. However, none of these simple systems are chemical dynamical systems (CDSs) — a special subset of polynomial DSs that model the dynamics of mass-action chemical reaction networks. In this talk, I will present some properties of chaotic CDSs, and a systematic method for their design. Using both analytic and computational approach, I will present a number of simple three-dimensional CDSs with chaos, containing as few as $4$ or $5$ chemical reactions.
Bibliography
@article{Plesa_2025, title={Chemical systems with chaos}, rights={arXiv.org perpetual, non-exclusive license}, url={https://arxiv.org/abs/2511.15554}, DOI={10.48550/ARXIV.2511.15554}, publisher={arXiv}, author={Plesa, Tomislav}, year={2025} }
