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

C. B. Muratov, V. V. Osipov

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)213-221
Number of pages9
JournalEuropean Physical Journal B
Volume22
Issue number2
DOIs
StatePublished - Jul 2 2001

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Keywords

  • 05.45.-a Nonlinear dynamics and nonlinear dynamical systems
  • 47.54,+r Pattern selection; pattern formation
  • 82.20.-w Chemical kinetics and dynamics

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