Title of article :
Complex dynamics in discrete delayed models with symmetry
Author/Authors :
Mingshu Peng، نويسنده , , Yuan Yuan، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
In this paper, we consider nonlinear time-delayed models with four identical resonators. Detailed analysis about equivariant bifurcations coupled with the Lie group actions on vector spaces is offered, including equivariant Neimark–Sacker bifurcations, equivariant pitchfork bifurcations and equivariant periodic doubling bifurcations. Pattern formation, spatio-temporal behavior and mode interactions are shown in a discrete nonlinear optical model involving a time-delayed feedback.
Journal title :
Chaos, Solitons and Fractals
Journal title :
Chaos, Solitons and Fractals