Title
Rotating periodic patterns in reaction diffusion systems
Abstract
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.
Year
DOI
Venue
2022
10.1016/j.cnsns.2021.106184
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Keywords
DocType
Volume
(Q, T)-periodic patterns, Reaction diffusion systems, Dynamical spatio-temporal symmetry, Spatio-temporal subharmonic solutions, Spatio-temporal quasi-periodic solutions
Journal
108
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
He Zhang100.34
Fei Xu200.68
Yong Li352.02