Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure
Copyright policy )Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure
In this paper, generalized synchronization of two chaotic systems is investigated. The auxiliary system approach, which is suggested by H. Abarbanel, N. Rulkov, and M. Sushchik [Phys. Rev. E 53, 4528 (1996)], is used to detect and study generalized synchronization. Based on the Lyapunov method and matrix measure, some less restrictive criteria are obtained to guarantee the asymptotical stability of the error system between the response system and the auxiliary system, which indicates the drive-response systems are synchronized in a general sense. It is shown that the feedback gain can be reduced by means of the matrix measure approach, compared to the norm method. All theoretical results are illustrated by analytical and numerical examples.
- Southeast University China (People's Republic of)
Asymptotic stability in control theory, Models, Statistical, Time Factors, Nonlinear Dynamics, Oscillometry, Synchronization of solutions to ordinary differential equations, Systems Theory, Computer Simulation, Signal Processing, Computer-Assisted, Models, Theoretical, Algorithms
Asymptotic stability in control theory, Models, Statistical, Time Factors, Nonlinear Dynamics, Oscillometry, Synchronization of solutions to ordinary differential equations, Systems Theory, Computer Simulation, Signal Processing, Computer-Assisted, Models, Theoretical, Algorithms
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).56 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!