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Robust modified projective synchronization of fractional-order chaotic systems with parameters perturbation and external disturbance 被引量:4
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作者 王东风 张金营 王晓燕 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第10期162-168,共7页
Based on fractional-order Lyapunov stability theory, this paper provides a novel method to achieve robust modified projective synchronization of two uncertain fractional-order chaotic systems with external disturbance... Based on fractional-order Lyapunov stability theory, this paper provides a novel method to achieve robust modified projective synchronization of two uncertain fractional-order chaotic systems with external disturbance. Simulation of the fractional-order Lorenz chaotic system and fractional-order Chen's chaotic system with both parameters uncertainty and external disturbance show the applicability and the efficiency of the proposed scheme. 展开更多
关键词 fractional-order chaotic system modified projective synchronization UNCERTAINTY DISTURBANCE
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Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable 被引量:4
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作者 王兴元 张永雷 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第10期159-165,共7页
In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is inves- tigated. We design the response system corresponding to the drive system on the basis of projective sy... In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is inves- tigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme. 展开更多
关键词 modified projective synchronization fractional-order hyperchaotic system single drivingvariable
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Modified projective synchronization with complex scaling factors of uncertain real chaos and complex chaos
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作者 张芳芳 刘树堂 余卫勇 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第12期141-151,共11页
To increase the variety and security of communication, we present the definitions of modified projective synchronization with complex scaling factors (CMPS) of real chaotic systems and complex chaotic systems, where... To increase the variety and security of communication, we present the definitions of modified projective synchronization with complex scaling factors (CMPS) of real chaotic systems and complex chaotic systems, where complex scaling factors establish a link between real chaos and complex chaos. Considering all situations of unknown parameters and pseudo-gradient condition, we design adaptive CMPS schemes based on the speed-gradient method for the real drive chaotic system and complex response chaotic system and for the complex drive chaotic system and the real response chaotic system, respectively. The convergence factors and dynamical control strength are added to regulate the convergence speed and increase robustness. Numerical simulations verify the feasibility and effectiveness of the presented schemes. 展开更多
关键词 modified projective synchronization complex scaling factors complex chaotic systems speed-gradient method
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A fractional-order chaotic Lorenz-based chemical system:Dynamic investigation,complexity analysis,chaos synchronization,and its application to secure communication
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作者 Haneche Nabil Hamaizia Tayeb 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第12期223-235,共13页
Synchronization of fractional-order chaotic systems is receiving significant attention in the literature due to its applications in a variety of fields,including cryptography,optics,and secure communications.In this p... Synchronization of fractional-order chaotic systems is receiving significant attention in the literature due to its applications in a variety of fields,including cryptography,optics,and secure communications.In this paper,a three-dimensional fractional-order chaotic Lorenz model of chemical reactions is discussed.Some basic dynamical properties,such as stability of equilibria,Lyapunov exponents,bifurcation diagrams,Poincarémap,and sensitivity to initial conditions,are studied.By adopting the Adomian decomposition algorithm(ADM),the numerical solution of the fractional-order system is obtained.It is found that the lowest derivative order in which the proposed system exhibits chaos is q=0.694 by applying ADM.The result has been validated by the existence of one positive Lyapunov exponent and by employing some phase diagrams.In addition,the richer dynamics of the system are confirmed by using powerful tools in nonlinear dynamic analysis,such as the 0-1 test and C_(0)complexity.Moreover,modified projective synchronization has been implemented based on the stability theory of fractional-order systems.This paper presents the application of the modified projective synchronization in secure communication,where the information signal can be transmitted and recovered successfully through the channel.MATLAB simulations are provided to show the validity of the constructed secure communication scheme. 展开更多
关键词 chaotic system Adomian decomposition method modified projective synchronization secure communication
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