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Spatiotemporal Patterns on a Ring Network of Oscillatory Electrochemical Reaction with Negative Global Feedback
Author(s) -
Sebek Michael,
Kiss István Z.
Publication year - 2018
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1002/ijch.201700133
Subject(s) - chemistry , chemical physics , coupling (piping) , amplitude , negative feedback , diffusion , nonlinear system , kinetic energy , synchronization (alternating current) , positive feedback , phase (matter) , ring (chemistry) , statistical physics , biological system , topology (electrical circuits) , physics , classical mechanics , thermodynamics , optics , voltage , mechanical engineering , mathematics , electrical engineering , organic chemistry , quantum mechanics , combinatorics , biology , engineering
The formation of spatiotemporal patterns in chemical systems can often be attributed to local and global interactions with the nonlinear kinetics, e. g., due to diffusion or an external constraint, respectively. We investigate the dynamics of an oscillatory chemical reaction on a ring of discrete elements, where the positive local coupling and negative global feedback can be varied independently to observe the emerging spatiotemporal patterns. With local coupling, the oscillations exhibit nearly in‐phase synchronization. When increasing the global negative feedback, a transition is seen from nearly sinusoidal phase profile oscillations through rotating and standing waves to amplitude death behavior. The experimental studies are interpreted with a kinetic model of nickel electrodissolution. The results demonstrate the presence of rich spatiotemporal patterns that can be obtained in a network with positive local and negative global interactions.