Naimark-Sacker Bifurcations in Linearly Coupled Quadratic Maps
Abstract
We report exact analytical expressions locating the 01, 12 and 24 bifurcation curves for a prototypical system of two linearly coupled quadratic maps. Of interest is the precise location of the parameter sets where Naimark-Sacker bifurcations occur, starting from a non-diagonal period-2 orbit. This result is the key to understand the onset of synchronization in networks of quadratic maps.
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