Open Access
2013 Multiple Nonlinear Oscillations in a 𝔻 3 × 𝔻 3 -Symmetrical Coupled System of Identical Cells with Delays
Haijun Hu, Li Liu, Jie Mao
Abstr. Appl. Anal. 2013(SI22): 1-10 (2013). DOI: 10.1155/2013/417678

Abstract

A coupled system of nine identical cells with delays and 𝔻 3 × 𝔻 3 -symmetry is considered. The individual cells are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback. By analyzing the corresponding characteristic equations, the linear stability of the equilibrium is given. We also investigate the simultaneous occurrence of multiple periodic solutions and spatiotemporal patterns of the bifurcating periodic oscillations by using the equivariant bifurcation theory of delay differential equations combined with representation theory of Lie groups. Numerical simulations are carried out to illustrate our theoretical results.

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Haijun Hu. Li Liu. Jie Mao. "Multiple Nonlinear Oscillations in a 𝔻 3 × 𝔻 3 -Symmetrical Coupled System of Identical Cells with Delays." Abstr. Appl. Anal. 2013 (SI22) 1 - 10, 2013. https://doi.org/10.1155/2013/417678

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1342.34092
MathSciNet: MR3064509
Digital Object Identifier: 10.1155/2013/417678

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI22 • 2013
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