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nlin.PSMar 13, 2014
13
citations (OpenAlex)
authors
  • Jakob Löber
  • Rhoslyn Coles
  • Julien Siebert
  • Harald Engel
  • Eckehard Schöll
institutions
  • Technische Universität Berlin
arXiv abstractPDF
paper

Control of chemical wave propagation

arXiv:1403.3363 · doi:10.1142/9789814616133_0011

Abstract

Using the Schlögl model as a paradigmatic example of a bistable reaction-diffusion system, we discuss some physically feasible options of open and closed loop spatio-temporal control of chemical wave propagation.

22 pages, 7 figures

References in corpus (3)

  • Failure of feedback as a putative common mechanism of spreading depolarizations in migraine and stroke
  • Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
  • Dynamics of reaction-diffusion patterns controlled by asymmetric nonlocal coupling as limiting case of differential advection

Cited by in corpus (7)

  • Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
  • Front and Turing patterns induced by Mexican-hat-like nonlocal feedback
  • Excitation Waves on a Minimal Small-World Model
  • Shaping wave patterns in reaction-diffusion systems
  • Optimal trajectory tracking
  • Optimal time delays in a class of reaction-diffusion equations
  • Optimization of nonlocal time-delayed feedback controllers
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