Noise induced oscillations and coherence resonance in a generic model of the nonisothermal chemical oscillator

• Published in: Scientific reports Vol. 3; no. 1; p. 2404
• Main Authors: Simakov, David S. A., Pérez-Mercader, Juan
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 09.08.2013; Nature Publishing Group
• Subjects: 639/166/898; 639/638/440/94; 639/638/440/950; 639/766/530/2803; Algorithms; Chemical reactions; Computer Simulation; Environmental conditions; Feedback; Fluctuations; Frequency distribution; Humanities and Social Sciences; Mathematical models; Models, Chemical; Models, Statistical; multidisciplinary; Noise; Oscillations; Oscillometry - methods; Resonance; Science; Stochasticity; Temperature effects
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/srep02404

Oscillating chemical reactions are common in biological systems and they also occur in artificial non-biological systems. Generally, these reactions are subject to random fluctuations in environmental conditions which translate into fluctuations in the values of physical variables, for example, temperature. We formulate a mathematical model for a nonisothermal minimal chemical oscillator containing a single negative feedback loop and study numerically the effects of stochastic fluctuations in temperature in the absence of any deterministic limit cycle or periodic forcing. We show that noise in temperature can induce sustained limit cycle oscillations with a relatively narrow frequency distribution and some characteristic frequency. These properties differ significantly depending on the noise correlation. Here, we have explored white and colored (correlated) noise. A plot of the characteristic frequency of the noise induced oscillations as a function of the correlation exponent shows a maximum, therefore indicating the existence of autonomous stochastic resonance, i.e. coherence resonance .