Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5600
Title: An analytic criterion for generalized synchronization in unidirectionally coupled systems based on the auxiliary system approach
Authors: Wong, WKC 
Zhen, B
Xu, J
Wang, Z
Keywords: Chaos
Eigenvalues and eigenfunctions
Lyapunov methods
Numerical analysis
Synchronisation
Issue Date: Sep-2012
Publisher: American Institute of Physics
Source: Chaos, Sept. 2012, v. 22, 033146, p. 1-8 How to cite?
Journal: Chaos 
Abstract: An analytic criterion is developed to investigate generalized synchronization (GS) in unidirectionally coupled systems based on the auxiliary system approach. The criterion is derived by transforming the existence problem of generalized synchronization into an eigenvalue problem. Numerical simulations show that the analytic criterion is almost as accurate as the response Lyapunov exponents method, and may provide an estimation of the threshold of strong generalized synchronization. A significant result can be deduced from our analysis that the more the number of equilibria of the unidirectionally coupled systems, the greater the chance of generalized synchronization, but the harder it may be for strong generalized synchronization to occur.
URI: http://hdl.handle.net/10397/5600
ISSN: 1054-1500
EISSN: 1089-7682
DOI: 10.1063/1.4748862
Rights: © 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in W. K. Wong et al., Chaos: an interdisciplinary journal of nonlinear science 22, 033146 (2012) and may be found at http://link.aip.org/link/?cha/22/033146
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