Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model

Document Type

Article

Publication Date

7-2-2001

Abstract

We performed an extensive numerical study of pattern formation scenarios in the two-dimensional Gray-Scott reaction-diffusion model. We concentrated on the parameter region in which there exists a strong separation of length and/or time scales. We found that the static one-dimensional autosolitons (stripes) break up into two-dimensional radially-symmetric autosolitons (spots). The traveling one-dimensional autosolitons (wave fronts) can be stable or undergo breakup. The static two-dimensional radially-symmetric autosolitons may break up and self-replicate leading to the formation of space-filling patterns of spots, wave fronts, or spatio-temporal chaos due to the competition of self-replication and annihilation of spots upon collision.

Identifier

0012983085 (Scopus)

Publication Title

European Physical Journal B

External Full Text Location

https://doi.org/10.1007/s100510170129

ISSN

14346028

First Page

213

Last Page

221

Issue

2

Volume

22

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