Naimark-Sacker Bifurcations in Linearly Coupled Quadratic Maps
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چکیده
We report exact analytical expressions locating the 0 → 1, 1 → 2 and 2 → 4 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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تاریخ انتشار 2004