Naimark–Sacker bifurcations in linearly coupled quadratic maps

Paulo C. Rech, Marcus W. Beims and Jason A.C. Gallas

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 351-355

Abstract: 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.

Keywords: Synchronization; Quasiperiodicity; Naimark–Sacker bifurcation (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:351-355

DOI: 10.1016/j.physa.2004.04.105

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