Abstract
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory, where $O(2)$ is related to the reversing symmetry, $\Gamma$ reflects the symmetric character of the coupling in the corresponding network and $\mathbb Z_2$ is related to the oddness of the right-hand side. Abstract results are supported by a concrete example with $\Gamma = D_6$ - the dihedral group of order 12.
Citation
Zalman Balanov. Fulai Chen. Jing Guo. Wieslaw Krawcewicz. "Periodic solutions to reversible second order autonomous systems with commensurate delays." Topol. Methods Nonlinear Anal. 59 (2A) 475 - 498, 2022. https://doi.org/10.12775/TMNA.2020.039
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