Turing instability in nonlinear chemical oscillators coupled via an active medium. (April 2020)

• Record Type: Journal Article
• Authors: Mussa Juane, Mariamo; García-Selfa, David; Muñuzuri, Alberto P.
• Is Part Of: Chaos, solitons and fractals. Volume 133(2020)
• Publication Date: 2020-04
• Subjects: Synchronization -- Turing instability -- Active systems -- Complex networks -- Chemical oscillators -- Reactive medium; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.109603
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Spontaneous differentiation in strongly coupled non-linear chemical oscillators via Turing instability. Fundamental role of the external active medium in synchronization of non-linear chemical oscillators. Cross-diffusion in synchronization mechanism. Network description of non-linear chemical oscillators coupled via an active external medium. Abstract: Nonlinear chemical oscillators have attracted a great deal of interest in the scientific community due to the wide range of non-trivial behaviors they exhibit and also due to their ability to reproduce behaviors found in nature. We consider this system and mathematically propose a different description based on a network-type topology. Within this context, we demonstrate the existence of a new type of behavior, induced by a Turing instability, characterized by the existence of two sets of chemical oscillators with different properties. The parameters of the model are analyzed and the influence on the collective behavior described.