Corpus ID: 73632106

# Bifurcation of space periodic solutions in symmetric reversible FDEs

@article{Balanov2016BifurcationOS,
title={Bifurcation of space periodic solutions in symmetric reversible FDEs},
author={Zalman Balanov and Haotian Wu},
journal={arXiv: Dynamical Systems},
year={2016}
}
• Published 30 January 2016
• Mathematics
• arXiv: Dynamical Systems
In this paper, we propose an equivariant degree based method to study bifurcation of periodic solutions (of constant period) in symmetric networks of reversible FDEs. Such a bifurcation occurs when eigenvalues of linearization move along the imaginary axis (without change of stability of the trivial solution and possibly without $1:k$ resonance). Physical examples motivating considered settings are related to stationary solutions to PDEs with non-local interaction: reversible mixed delay… Expand
3 Citations

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