Self-Organized Stationary Patterns in Networks of Bistable Chemical Reactions

Abstract

Experiments with networks of discrete reactive bistable electrochemical elements organized in regular and nonregular tree networks are presented to confirm an alternative to the Turing mechanism for the formation of self-organized stationary patterns. The results show that the pattern formation can be described by the identification of domains that can be activated individually or in combinations. The method also enabled the localization of chemical reactions to network substructures and the identification of critical sites whose activation results in complete activation of the system. Although the experiments were performed with a specific nickel electrodissolution system, they reproduced all the salient dynamic behavior of a general network model with a single nonlinearity parameter. Thus, the considered pattern-formation mechanism is very robust, and similar behavior can be expected in other natural or engineered networked systems that exhibit, at least locally, a treelike structure.

References in corpus (5)

• Turing patterns in network-organized activator-inhibitor systems
• Pattern formation in multiplex networks
• Traveling and pinned fronts in bistable reaction-diffusion systems on network
• Propagation failure of excitation waves on trees and random networks
• Feedback-induced stationary localized patterns in networks of diffusively coupled bistable elements

Cited by in corpus (1)

• Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements