Quint points lattice in a driven Belousov-Zhabotinsky reaction model. (English) Zbl 1462.92060
Summary: We report the discovery of a regular lattice of exceptional quint points in a periodically driven oscillator, namely, in the frequency-amplitude control parameter space of a photochemically periodically perturbed ruthenium-catalyzed Belousov-Zhabotinsky reaction model. Quint points are singular boundary points where five distinct stable oscillatory phases coalesce. While spikes of the activator show a smooth and continuous variation, the spikes of the inhibitor show an intricate but regular branching into a myriad of stable phases that have fivefold contact points. Such boundary points form a wide parameter lattice as a function of the frequency and amplitude of light absorption. These findings revise current knowledge about the topology of the control parameter space of a celebrated prototypical example of an oscillating chemical reaction.
©2021 American Institute of Physics
©2021 American Institute of Physics
MSC:
| 92E20 | Classical flows, reactions, etc. in chemistry |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
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