Naimark–Sacker bifurcations in linearly coupled quadratic maps

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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Year of publication:	2004
Authors:	Rech, Paulo C. ; Beims, Marcus W. ; Gallas, Jason A.C.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 342.2004, 1, p. 351-355
Publisher:	Elsevier
Subject:	Synchronization \| Quasiperiodicity \| Naimark–Sacker bifurcation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011058261