Sue Ann Campbell et al 2005 Nonlinearity 18 2827 doi:10.1088/0951-7715/18/6/022
Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
Sue Ann Campbell1,2, Yuan Yuan3 and Sharene D Bungay1,4
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We consider a ring of identical elements with time delayed, nearest-neighbour coupling. The individual elements are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback. The bifurcation and stability of nontrivial asynchronous oscillations from the trivial solution are analysed using equivariant bifurcation theory and centre manifold construction.
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Issue 6 (November 2005)
Received 21 June 2005, in final form 7 September 2005
Published 7 October 2005
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Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
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