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Title: Turing instability in reaction-diffusion systems with nonlinear diffusion

Abstract

The Turing instability is studied in two-component reaction-diffusion systems with nonlinear diffusion terms, and the regions in parametric space where Turing patterns can form are determined. The boundaries between super- and subcritical bifurcations are found. Calculations are performed for one-dimensional brusselator and oregonator models.

Authors:
 [1]
  1. Russian Academy of Sciences, Dorodnicyn Computing Center (Russian Federation)
Publication Date:
OSTI Identifier:
22210394
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 117; Journal Issue: 4; Other Information: Copyright (c) 2013 Pleiades Publishing, Inc.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIFURCATION; DIFFUSION; INSTABILITY; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS

Citation Formats

Zemskov, E. P., E-mail: zemskov@ccas.ru. Turing instability in reaction-diffusion systems with nonlinear diffusion. United States: N. p., 2013. Web. doi:10.1134/S1063776113120194.
Zemskov, E. P., E-mail: zemskov@ccas.ru. Turing instability in reaction-diffusion systems with nonlinear diffusion. United States. doi:10.1134/S1063776113120194.
Zemskov, E. P., E-mail: zemskov@ccas.ru. Tue . "Turing instability in reaction-diffusion systems with nonlinear diffusion". United States. doi:10.1134/S1063776113120194.
@article{osti_22210394,
title = {Turing instability in reaction-diffusion systems with nonlinear diffusion},
author = {Zemskov, E. P., E-mail: zemskov@ccas.ru},
abstractNote = {The Turing instability is studied in two-component reaction-diffusion systems with nonlinear diffusion terms, and the regions in parametric space where Turing patterns can form are determined. The boundaries between super- and subcritical bifurcations are found. Calculations are performed for one-dimensional brusselator and oregonator models.},
doi = {10.1134/S1063776113120194},
journal = {Journal of Experimental and Theoretical Physics},
number = 4,
volume = 117,
place = {United States},
year = {Tue Oct 15 00:00:00 EDT 2013},
month = {Tue Oct 15 00:00:00 EDT 2013}
}