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Rotating periodic patterns in reaction diffusion systems
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DOI：10.1016/j.cnsns.2021.106184.png)
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Abstract
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We investigate a special class of spatio-temporal patterns in reaction diffusion systems, namely, (Q, T)-periodic patterns, or rotating ones. We rigorously prove the existence of such patterns by using the Leray-Schauder degree theory and the method of lower and upper solutions. A couple of examples of reaction diffusion systems that exhibit (Q, T)-periodic patterns are identified and used to illustrate the properties of such spatio-temporal structures. (c) 2021 Elsevier B.V. All rights reserved.
Keywords:
(Q, T)-periodic patterns
Reaction diffusion systems
Dynamical spatio-temporal symmetry
Spatio-temporal subharmonic solutions
Spatio-temporal quasi-periodic solutions
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