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• W2023622265 abstract "We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence, the patterns oscillate in time. When varying a single parameter, a series of bifurcations leads to period doubling, quasiperiodic, and chaotic oscillations without modifying the underlying Turing pattern. A Ruelle-Takens-Newhouse route to chaos is identified. We also examine the Turing conditions for obtaining a diffusion-driven instability and show that the patterns obtained are not necessarily stationary for certain values of the diffusion coefficients. These results demonstrate the limitations of the linear analysis for reaction-diffusion systems." @default.
• W2023622265 created "2016-06-24" @default.
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• W2023622265 date "2012-08-08" @default.
• W2023622265 modified "2023-10-10" @default.
• W2023622265 title "Nonlinear effects on Turing patterns: Time oscillations and chaos" @default.
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• W2023622265 doi "https://doi.org/10.1103/physreve.86.026201" @default.
• W2023622265 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23005839" @default.
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