Nonlinear Convective Instability of Turing-Unstable Fronts near Onset: A Case Study

  title={Nonlinear Convective Instability of Turing-Unstable Fronts near Onset: A Case Study},
  author={Anna Ghazaryan and Bj{\"o}rn Sandstede},
  journal={SIAM J. Appl. Dyn. Syst.},
Fronts are traveling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front undergoes a supercritical Turing instabilit... 

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  • B. Sandstede, A. Scheel
  • Physics, Mathematics
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 2000
Localized travelling waves to reaction-diffusion systems on the real line are investigated. The issue addressed in this work is the transition to instability which arises when the essential spectrum