Effects of stochastic time-delayed feedback on a dynamical system modeling a chemical oscillator

Autor:	Héctor O. González Ochoa, Gualberto Solís Perales, Irving R. Epstein, Ricardo Femat
Rok vydání:	2018
Předmět:	Physics Dynamical system 01 natural sciences Electromagnetic radiation 010305 fluids & plasmas Intensity (physics) Amplitude Negative feedback 0103 physical sciences Waveform Statistical physics 010306 general physics Dispersion (water waves) Constant (mathematics)
Zdroj:	Physical Review E. 97
ISSN:	2470-0053 2470-0045
DOI:	10.1103/physreve.97.052214
Popis:	We examine how stochastic time-delayed negative feedback affects the dynamical behavior of a model oscillatory reaction. We apply constant and stochastic time-delayed negative feedbacks to a point Field-K\"or\"os-Noyes photosensitive oscillator and compare their effects. Negative feedback is applied in the form of simulated inhibitory electromagnetic radiation with an intensity proportional to the concentration of oxidized light-sensitive catalyst in the oscillator. We first characterize the system under nondelayed inhibitory feedback; then we explore and compare the effects of constant (deterministic) versus stochastic time-delayed feedback. We find that the oscillatory amplitude, frequency, and waveform are essentially preserved when low-dispersion stochastic delayed feedback is used, whereas small but measurable changes appear when a large dispersion is applied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d43d44663c1793148e9e8eceb3ff3341 https://doi.org/10.1103/physreve.97.052214 Zobrazit plný text záznamu