Multiple Nonlinear Oscillations in a -Symmetrical Coupled System of Identical Cells with Delays

作者: Haijun Hu , Li Liu , Jie Mao

DOI: 10.1155/2013/417678

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

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