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Propagation of Turing–Hopf fronts

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  • Or-Guil, M
  • Bode, M

Abstract

We investigate the dynamics of fronts between Turing- and Hopf-type domains close to the respective co-dimension two bifurcation in terms of coupled amplitude equations. In particular, we derive a dominance rule for the velocity of these fronts and explain the recently observed phenomenon of a returning front by introducing the concept of a current of the local wave number. This current is induced by the presence of a front and leads to a slow change of the front velocity and of the domain solutions.

Suggested Citation

  • Or-Guil, M & Bode, M, 1998. "Propagation of Turing–Hopf fronts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 174-178.
    • Handle: RePEc:eee:phsmap:v:249:y:1998:i:1:p:174-178
    DOI: 10.1016/S0378-4371(97)00459-7
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    1. Dewel, G. & Borckmans, P. & De Wit, A. & Rudovics, B. & Perraud, J.-J. & Dulos, E. & Boissonade, J. & De Kepper, P., 1995. "Pattern selection and localized structures in reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(1), pages 181-198.
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