Full state hybrid projective synchronization of a novel incommensurate fractional order hyperchaotic system using adaptive mechanism

This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronization (FSHPS), and generalized synchronization (GS) can be achieved simultaneously. A second nonlinear control scheme is developed whereby inverse full state hybrid projective synchronization (IFSHPS) and inverse generalized synchronization (IGS) are shown to co-exist. Numerical examples are presented to confirm the findings.

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LAG FULL STATE HYBRID PROJECTIVE SYNCHRONIZATION IN DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS

International Journal of Modern Physics B ◽

10.1142/s0217979210057596 ◽

2010 ◽

Vol 24 (31) ◽

pp. 6129-6141 ◽

Cited By ~ 4

Author(s):

YANG TANG ◽

JIAN-AN FANG ◽

LIANG CHEN

Keyword(s):

Control Theory ◽

Numerical Simulations ◽

Active Control ◽

Fractional Order ◽

Chaotic Systems ◽

Projective Synchronization ◽

Full State ◽

Hybrid Projective Synchronization

In this paper, lag full state hybrid projective synchronization (LFSHPS) in fractional-order chaotic systems is first studied. We show that LFSHPS does exist in fractional-order chaotic systems. Based on active control theory, synchronization schemes for LFSHPS of the fractional-order chaotic systems are given. Numerical simulations are provided to illustrate and verify the effectiveness of the proposed methods.

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Hybrid Projective Synchronization of a New Hyperchaotic System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.42.63 ◽

2010 ◽

Vol 42 ◽

pp. 63-67

Author(s):

Jie Fang ◽

Xiao Ming Zhang ◽

Chang Sheng Jiang

Keyword(s):

Numerical Simulation ◽

Chaos Synchronization ◽

Projective Synchronization ◽

Practical Significance ◽

Hyperchaotic System ◽

Complete Synchronization ◽

Full State ◽

Hybrid Projective Synchronization ◽

The Stability ◽

New Hyperchaotic System

The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization, so the research in this area has high practical significance. This paper is involved with full state hybrid projective synchronization of a new hyperchaotic system. Based on the stability criterion of linear system, full state hybrid projective synchronization is achieved by appropriate linear separation. Numerical simulation is presented to demonstrate the effectiveness of the proposed method.

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Coexistence of identical synchronization, antiphase synchronization and inverse full state hybrid projective synchronization in different dimensional fractional-order chaotic systems

Advances in Difference Equations ◽

10.1186/s13662-018-1485-2 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 5

Author(s):

Adel Ouannas ◽

Xiong Wang ◽

Viet-Thanh Pham ◽

Giuseppe Grassi ◽

Toufik Ziar

Keyword(s):

Fractional Order ◽

Chaotic Systems ◽

Projective Synchronization ◽

Full State ◽

Hybrid Projective Synchronization

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A New Method for Full State Hybrid Projective Synchronization of Different Fractional Order Chaotic Systems

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.385-386.919 ◽

2013 ◽

Vol 385-386 ◽

pp. 919-922 ◽

Cited By ~ 2

Author(s):

Hao Feng ◽

Yang Yang ◽

Shi Ping Yang

Keyword(s):

Fractional Order ◽

Feedback Linearization ◽

Chaotic Systems ◽

New Method ◽

Projective Synchronization ◽

Chen System ◽

Full State ◽

Error System ◽

Hybrid Projective Synchronization ◽

Synchronization Scheme

In this paper, the full state hybrid projective synchronization (FSHPS) between two different fractional order chaotic systems is investigated. i.e., the fractional order Chen system and the fractional order Lorenz system. Based on the synchronization error system feedback linearization theory, a new method combining feedback control is proposed for theFSHPSin fractional order chaotic systems. Numerical simulations are presented to verify the effectiveness and the feasibility of the synchronization scheme.

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