# Instability in reaction-superdiffusion systems.

@article{Torabi2016InstabilityIR, title={Instability in reaction-superdiffusion systems.}, author={Reza Torabi and Zahra Rezaei}, journal={Physical review. E}, year={2016}, volume={94 5-1}, pages={ 052202 } }

We study the effect of superdiffusion on the instability in reaction-diffusion systems. It is shown that reaction-superdiffusion systems close to a Turing instability are equivalent to a time-dependent Ginzburg-Landau model and the corresponding free energy is introduced. This generalized free energy which depends on the superdiffusion exponent governs the stability, dynamics, and the fluctuations of reaction-superdiffusion systems near the Turing bifurcation. In addition, we show that for a…

## 8 Citations

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Turing instability and pattern formation in the Lengyel–Epstein (L–E) model with superdiffusion are investigated in this paper. The effects of superdiffusion on the stability of the homogeneous ste...

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