# 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:

- 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}

}

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