Miyakawa K, Okano T, Tanaka T. Noise-induced spatiotemporal dynamics in a linear array of excitable chemical oscillators.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005;
71:066202. [PMID:
16089844 DOI:
10.1103/physreve.71.066202]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/12/2005] [Indexed: 05/03/2023]
Abstract
The effects of additive noise on spatiotemporal dynamics are investigated in a one-dimensional array of excitable elements in which the Belousov-Zhabotinsky reaction is localized. At the appropriate separation between adjacent elements, we find that the resonance effect becomes larger for the element being more apart from the first element when only the first element is subjected to the external noise. This phenomenon is a sort of array-enhanced resonance. Furthermore, we find that phase locking between the first element and the other elements is induced via coherence resonance of the first element. Experimental observations are approximately reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.
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