Article citationsMore>>

S. A. Ammour, S. Djennoune and M. Bettayed, “A Sliding Mode Control for Linear Fractional Systems with Input and State Delays,” Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, 2009, pp. 2310-2318. doi:10.1016/j.cnsns.2008.05.011

has been cited by the following article:

• TITLE: Synchronization of Chaotic Energy Resource System

  AUTHORS: Tie-Bang Wang, Hai-Yong Xie, Ai-Gen Xie

  KEYWORDS: Unilateral Coupling Method; Coupling Coefficient; Chaos Synchronization; Synchronizing Time

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 28, 2013

  ABSTRACT: Taking a four-dimensional energy resources demand-supply system between the East and West of China, this paper discusses its chaotic behavior, and via the unilateral coupling method we lead the system to synchronization successfully. But not all the values of coupling coefficient can lead to synchronization. The values of coupling coefficient have a range. By calculating the maximal relative Lyapunov exponents’ spectrum, we gained the value range of coupling coefficients. Within the value range, the two coupling systems can achieve synchronization, otherwise can’t. Further more, the values of coupling coefficient are in connection with the chaos synchronizing time. At last, we get the relationship of coupling coefficients and chaos synchronizing time.