Lamellar structures and self-replicating spots in a reaction-diffusion system

Kyoung J. Lee and Harry L. Swinney
Phys. Rev. E 51, 1899 – Published 1 March 1995
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Abstract

Experiments on a ferrocyanide-iodate-sulfite reaction-diffusion system reveal several different planar spatial patterns: stationary lamellae arising from a transverse front instability and a front interaction; spot patterns that undergo a continuous process of growth through replication and death through overcrowding; waves with a repulsive front interaction; and conventional excitable waves that annihilate upon collision. The patterns form in a thin gel layer that is in contact with a continuously fed stirred reservoir. Lamellae are observed in both multistable and monostable regimes of the gel layer, while the self-replicating spots are found in a monostable regime. Numerical simulations on a one-dimensional, four-species model of the ferrocyanide-iodate-sulfite reaction describe the observed front interaction phenomena and some aspects of the bifurcation sequences observed in the laboratory experiments.

  • Received 3 June 1994

DOI:https://doi.org/10.1103/PhysRevE.51.1899

©1995 American Physical Society

Authors & Affiliations

Kyoung J. Lee and Harry L. Swinney

  • Center for Nonlinear Dynamics and the Department of Physics, The Univeristy of Texas, Austin, Texas 78712

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Issue

Vol. 51, Iss. 3 — March 1995

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