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Modified impulsive synchronization of fractional order hyperchaotic systems

Chinese Physics B 2011年第12期20卷 160-166页

作者：浮洁余淼马铁东 Key Laboratory of Optoelectronic Technology and System Ministry of EducationCollege of Optoelectronic EngineeringChongqing University College of Automation Chongqing University

In this paper, a modified impulsive control scheme is proposed to realize the complete synchronization of fractional order hyperchaotic systems. By constructing a suitable response system, an integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and the impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of the synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the fixed impulsive distances and control gains. Compared with the existing results, the main results in this paper are practical and rigorous. Simulation results show the effectiveness and the feasibility of the proposed impulsive control method.

关键词： hyperchaotic systems fractional order chaotic systems synchronization impulsive control

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Impulsive synchronisation of a class of fractional-order hyperchaotic systems

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Chinese Physics B 2011年第3期20卷 88-94页

作者：王兴元张永雷林达张娜 Faculty of Electronic Information and Electrical Engineering Dalian University of Technology

In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems＇ impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.

关键词： hyperchaotic systems fractional-order hyperchaotic systems impulsive synchronization

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Adaptive Full State Hybrid Projective Synchronization of two Different hyperchaotic systems with Fully Uncertain Parameters

Adaptive Full State Hybrid Projective Synchronization of two...

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2011 Chinese Control and Decision Conference（CCDC）

作者： He Bingli and Li Junmin are with the Department of Mathematics,Xidian University,Xi''an,China 710071.

This paper mainly investigates adaptive hybrid projective synchronization of two different hyperchaotic systems with fully unknown *** on Lyapunov stability theory,adaptive synchronization controllers and parameter update laws are designed such that the states of the drive system and the response system are ultimately asymptotically hybrid projective *** results are presented to show the feasibility and effectiveness of the proposed method.

关键词： hyperchaotic systems Adaptive control Lyapunov stability theory Hybrid projective synchronization

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Dynamics and Synchronization of a Typical Complex hyperchaotic systems

Dynamics and Synchronization of a Typical Complex Hyperchaot...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Binghang Fan,school of control Science and Engineering,Hebei University of Technology,co 300401 RP China.Hexu Sun,school of control Science and Engineering,Hebei University of Technology,co 300130 RP China.Jin Zhou,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,co 200072 RP China.

The brief paper considers dynamics and synchronization of a typical complex hyperchaotic *** basic dynamical properties,including symmetry,dissipation and stability of the complex systems as well as its Lyapunov exponents are *** is shown that such a complex systems can exhibit the typical hyperchaotic ***,a simple yet generic criteria for hyperchaotic synchronization of complex systems is derived based on the linear feedback control *** this end,simulation results are presented that are consistent with our theoretical results.

关键词： dynamics of complex systems hyperchaotic systems chaos synchronization

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Fractional-order systems without equilibria:The first example of hyperchaos and its application to synchronization

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Chinese Physics B 2015年第8期24卷 224-232页

作者： Donato Cafagna Giuseppe Grassi Dipartimento Ingegneria Innovazione Università del Salento

A challenging topic in nonlinear dynamics concerns the study of fractional-order systems without equilibrium *** particular, no paper has been published to date regarding the presence of hyperchaos in these systems. This paper aims to bridge the gap by introducing a new example of fractional-order hyperchaotic system without equilibrium points. The conducted analysis shows that hyperchaos exists in the proposed system when its order is as low as 3.84. Moreover, an interesting application of hyperchaotic synchronization to the considered fractional-order system is provided.

关键词： fractional-order systems equilibrium points hyperchaotic systems synchronization

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