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Patterns in reaction–diffusion systems generated by global alternation of dynamics

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  • Buceta, J.
  • Lindenberg, Katja

Abstract

We recently proposed a mechanism for inducing a Turing instability by alternation of reaction–diffusion dynamics each of which is pattern-free. Herein we shed light on the question of which particular switching schemes produce that instability and which do not. We also consider a particular reaction–diffusion model to illustrate the mechanism.

Suggested Citation

  • Buceta, J. & Lindenberg, Katja, 2003. "Patterns in reaction–diffusion systems generated by global alternation of dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 230-242.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:230-242
    DOI: 10.1016/S0378-4371(03)00202-4
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    Citations

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    Cited by:

    1. Iqbal, Naveed & Wu, Ranchao & Liu, Biao, 2017. "Pattern formation by super-diffusion in FitzHugh–Nagumo model," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 245-258.
    2. Gafiychuk, V.V. & Datsko, B.Yo., 2006. "Pattern formation in a fractional reaction–diffusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 300-306.
    3. Levinsohn, Erik A. & Mendoza, Steve A. & Peacock-López, Enrique, 2012. "Switching induced complex dynamics in an extended logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 426-432.

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