Generalized synchronization in fractional order systems

被引：42

作者：

Deng, Weihua ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

PHYSICAL REVIEW E | 2007年 / 75卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.75.056201

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The generalized synchronization of fractional order systems is investigated, including the synchronization between two different fractional order systems with the same order, the synchronization between two different fractional order systems with no orders the same, and the synchronization between a classical system and its corresponding fractional order system with mismatched parameters. The mechanism for the occurrence of generalized synchronization of fractional order systems is clarified, the necessary and sufficient conditions are given, and several methods to detect generalized synchronization are discussed. The relationship between generalized synchronization and the equivalence of fractional order systems is also considered.

引用

页数：7

共 54 条

[1] Generalized synchronization of chaos: The auxiliary system approach
Abarbanel, HDI
Rulkov, NF
Sushchik, MM
[J]. PHYSICAL REVIEW E, 1996, 53 (05) : 4528 - 4535
[2] Special Issue: Fractional Derivatives and their Applications - Introduction
Agrawal, OP
Machado, JAT
Sabatier, J
[J]. NONLINEAR DYNAMICS, 2004, 38 (1-4) : 1 - 2
[3] Chaos in fractional-order autonomous nonlinear systems
Ahmad, WM
Sprott, JC
[J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 339 - 351
[4] [Anonymous], J SYST SCI COMPLEX
[5] The synchronization of chaotic systems
Boccaletti, S
Kurths, J
Osipov, G
Valladares, DL
Zhou, CS
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2): : 1 - 101
[6] Butzer P., 2000, An Introduction to Fractional Calculus
[7] LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2
CAPUTO, M
[J]. GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05): : 529 - &
[8] Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control
Deng, Weihua
Lu, Jinhu
[J]. CHAOS, 2006, 16 (04)
[9] Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI [10.1007/s11071-006-9094-0, 10.1007/s11071 -006-9094-0]
[10] Stability analysis of differential equations with time-dependent delay
Deng, WH
Wu, YJ
Li, CP
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (02): : 465 - 472

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