Higher-codimension bifurcations caused by delay
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In this paper, we give a detailed study of rich dynamics in two-parameter families of two-dimensional generalized delayed discrete Cournot duopoly models. Multistability, such as the coexistence of period-2/quasiperiodic (limit-cycle), chaotic/regular motions or synchronized/asynchronized solutions are discussed. Complexity caused by delay, including the change of local stability regions and the occurrence of higher-codimension bifurcations, is to be discovered.
KeywordsNonlinear duopoly economic model Higher-codimension bifurcation Chaos ℤ2 symmetry Delay
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