Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions

被引：15

作者：

Ouannas, Adel ^{[1
]}

Wang, Xiong ^{[2
]}

Viet-Thanh Pham ^{[3
]}

Ziar, Toufik ^{[4
,5
]}

机构：

[1] Univ Larbi Tebessi, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria

[2] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China

[3] Hanoi Univ Sci & Technol, Hanoi, Vietnam

[4] Univ Larbi Tebessi, Dept Matter Sci, Tebessa, Algeria

[5] Larbi Ben Mhidi Univ, Act Devices & Mat Lab LCAM, Oum El Bouaghi, Algeria

来源：

COMPLEXITY | 2017年

基金：

中国国家自然科学基金;

关键词：

FUNCTION PROJECTIVE SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; COEXISTENCE; MAPS;

D O I：

10.1155/2017/4948392

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present new approaches to synchronize different dimensional master and slave systems described by integer order and fractional order differential equations. Based on fractional order Lyapunov approach and integer order Lyapunov stability method, effective control schemes to rigorously study the coexistence of some synchronization types between integer order and fractional order chaotic systems with different dimensions are introduced. Numerical examples are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.

引用

页数：12

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