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Updated: Aug 31, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Noise-induced formation of heterogeneous patterns in the Turing stability zones of diffusion systems
Irina Bashkirtseva1, Alexander Pankratov1, Lev Ryashko1
1Ural Federal University, Lenina, 51, 620000 Ekaterinburg, Russia.
Abstract:
We study a phenomenon of stochastic generation of waveform patterns for reaction-diffusion systems in the Turing stability zone where the homogeneous equilibrium is a single attractor. In this analysis, we use a distributed variant of the Selkov glycolytic model with diffusion and random forcing. It is shown that in the Turing stability zone, random disturbances can induce a diversity of metastable spatial patterns with different waveforms. We carry out the parametric analysis of statistical characteristics of evolution of these patterns, and reveal the dominant patterns in the stochastic flow of mixed spatial structures.
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