Naimark-Sacker Bifurcations in Linearly Coupled Quadratic Maps
Chaotic Dynamics
2009-11-10 v1
Abstract
We report exact analytical expressions locating the , and 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.
Cite
@article{arxiv.nlin/0408010,
title = {Naimark-Sacker Bifurcations in Linearly Coupled Quadratic Maps},
author = {Paulo C. Rech and Marcus W. Beims and Jason A. C. Gallas},
journal= {arXiv preprint arXiv:nlin/0408010},
year = {2009}
}
Comments
6 pages, 3 figures (1 in color), submitted to Physica A