JOURNAL ARTICLE
SYNCHRONIZATION AND GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS
Year: 2009 Journal: Modern Physics Letters B Vol: 23 (13)Pages: 1695-1714 Publisher: World Scientific
Abstract
In this paper, based on the modified state observer method, synchronization and generalized synchronization of a class of fractional order chaotic systems are presented. The two synchronization approaches are theoretically and numerically studied and two simple criterions are proposed. By using the stability theory of linear fractional order systems, suitable conditions for achieving synchronization and generalized synchronization are given. Numerical simulations coincide with the theoretical analysis.
Keywords:
Synchronization (alternating current) Synchronization of chaos Chaotic systems Control theory (sociology) Stability (learning theory) Simple (philosophy) Computer science Chaotic State (computer science) Observer (physics) Mathematics Applied mathematics Topology (electrical circuits) Physics Algorithm Control (management)
Metrics
2
Cited By
0.00
FWCI (Field Weighted Citation Impact)
29
Refs
0.09
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Chaos control and synchronization
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
Nonlinear Dynamics and Pattern Formation
Physical Sciences → Computer Science → Computer Networks and Communications
Quantum chaos and dynamical systems
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
Related Documents
JOURNAL ARTICLE
GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS
Journal: International Journal of Modern Physics B Year: 2011 Vol: 25 (09)Pages: 1283-1292
JOURNAL ARTICLE
Synchronization (generalized synchronization) between different fractional order chaotic (hyperchaotic) systems
Year: 2008 Vol: 45 Pages: 5006-5009
JOURNAL ARTICLE
Generalized projective synchronization of fractional order chaotic systems
Guojun PengYao‐Lin JiangFang Chen
Journal: Physica A Statistical Mechanics and its Applications Year: 2008 Vol: 387 (14)Pages: 3738-3746
JOURNAL ARTICLE
Generalized Synchronization Between Different Fractional-Order Chaotic Systems
Ping ZhouXue‐Feng ChengZhang Nian-Ying
Journal: Communications in Theoretical Physics Year: 2008 Vol: 50 (4)Pages: 931-934
JOURNAL ARTICLE
GENERALIZED SYNCHRONIZATION OF NONIDENTICAL FRACTIONAL-ORDER CHAOTIC SYSTEMS
Xingyuan WangZUN-WEN HUChao Luo
Journal: International Journal of Modern Physics B Year: 2013 Vol: 27 (30)Pages: 1350195-1350195