New chaotic system and the adaptive synchronization control of its fractional order system
XIAN Yong-ju
XIA Cheng
XU Chang-biao
Abstract：A novel chaotic system with coexisting attractors and the adaptive synchronization control of the correspond-ing fractional order chaotic system are studied. Firstly, a novel chaotic system with coexisting attractors of double-wing and four-wing is proposed. The dynamic characteristics of the system are analyzed, and the topological horseshoe and topolog-ical entropy of the system are found, which verifies that the system is chaotic. Secondly, a fractional order system with two isolated double-wing and four-wing attractors is constructed based on this system. Finally, the adaptive synchronization problem of the fractional order system is investigated by means of fractional order Lyapunov stability theory and adaptive control method. Simulation results show that the larger the control parameter k, the faster the system synchronization speed, and the larger the control parameter λ, the faster the identification of the system parameters.
Keywords：chaotic systemfractional order systemcoexisting attractorsadaptive synchronization control
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 878-886 )