Journal
NONLINEARITY
Volume 18, Issue 6, Pages 2827-2846Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/18/6/022
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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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