Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-08-05
Nonlinear Sciences
Chaotic Dynamics
6 pages, 3 figures (1 in color), submitted to Physica A
Scientific paper
10.1016/j.physa.2004.04.105
We report exact analytical expressions locating the $0\to1$, $1\to2$ and $2\to4$ 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.
Beims Marcus W.
Gallas Jason A. C.
Rech Paulo C.
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