Chaos projective synchronization of the chaotic finance system with parameter switching perturbation and input time‐varying delay

This paper discusses some basic dynamical properties of the chaotic finance system with parameter switching perturbation, and investigates chaos projective synchronization of the chaotic finance system with the time-varying delayed feedback controller, which are not fully considered in the existing research. Different from the previous methods, in this paper, the delayed feedback controller is not only time-varying, but also the time-varying delay is adaptive. Finally, an illustrate example is provided to show the effectiveness of this method. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  Aria Alasty,et al.  Delayed feedback control via minimum entropy strategy in an economic model , 2008 .

[2]  Yi Chai,et al.  Control and Synchronization of Fractional-Order Financial System Based on Linear Control , 2011 .

[3]  Huali Wang,et al.  Impulsive control for differential systems with delay , 2013 .

[4]  Xiaoqin Wu,et al.  Zero-Hopf bifurcation for van der Pol's oscillator with delayed feedback , 2011, J. Comput. Appl. Math..

[5]  Qidi Wu,et al.  Impulsive control of a financial model , 2005 .

[6]  Guoliang Cai,et al.  Dynamic analysis and control of a new hyperchaotic finance system , 2012 .

[7]  Sara Dadras,et al.  Control of a fractional-order economical system via sliding mode , 2010 .

[8]  Weihua Jiang,et al.  Delayed feedback control and bifurcation analysis of Rossler chaotic system , 2010 .

[9]  Young-Jai Park,et al.  Delayed feedback on the dynamical model of a financial system , 2011 .

[10]  Junwei Wang,et al.  H∞ control of a chaotic finance system in the presence of external disturbance and input time-delay , 2014, Appl. Math. Comput..

[11]  Qiang Xi Global exponential stability for a class of generalized delayed neural networks with impulses , 2011 .

[12]  Ma Junhai,et al.  Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (I) , 2001 .

[13]  Janusz A. Hołyst,et al.  Chaos control in economical model by time-delayed feedback method , 2000 .

[14]  Generating a new chaotic attractor by feedback controlling method , 2011 .

[15]  Shaohui Sun,et al.  The synchronization of general complex dynamical network via pinning control , 2012 .

[16]  Jiakun Zhao,et al.  Adaptive Q-S synchronization between coupled chaotic systems with stochastic perturbation and delay , 2012 .

[17]  Huijun Gao,et al.  Pinning Distributed Synchronization of Stochastic Dynamical Networks: A Mixed Optimization Approach , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[18]  Huijun Gao,et al.  Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings , 2013, IEEE Transactions on Cybernetics.

[19]  Shiqun Zhu,et al.  Stochastic resonance in FitzHugh–Nagumo system with time-delayed feedback , 2008 .

[20]  Xingyuan Wang,et al.  Hopf bifurcation and topological horseshoe of a novel finance chaotic system , 2012 .

[21]  Feng Qian,et al.  Synchronization in complex networks and its application - A survey of recent advances and challenges , 2014, Annu. Rev. Control..

[22]  Wei-Ching Chen,et al.  Dynamics and control of a financial system with time-delayed feedbacks , 2008 .

[23]  Huijun Gao,et al.  Distributed Robust Synchronization of Dynamical Networks With Stochastic Coupling , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  Jinde Cao,et al.  On pth moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays , 2010, Neurocomputing.

[25]  Jinde Cao,et al.  Stochastic quasi-synchronization for delayed dynamical networks via intermittent control , 2012 .

[26]  Zhenbo Li,et al.  Synchronization of a chaotic finance system , 2011, Appl. Math. Comput..

[27]  Wuneng Zhou,et al.  Stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay , 2014 .

[28]  Jinde Cao,et al.  Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters , 2007 .