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.