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

Abstract

Communicated by B. HarrachThis 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.

Impulsive synchronization of Lü chaotic systems via the hybrid controller

“…Among the existing publications, some papers focused on 'pinning control' on chaotic systems by the idea of linear feedback control or adaptive control. On the other hand, impulsive control strategies have been widely used to synchronize coupled chaotic dynamical systems due to their potential advantages over general continuous control schemes [17][18][19][20][21][22][23][24]. What is more, the impulsive controller usually has a relatively simple structure.…”

Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control

“…So far, a lot of methods about chaotic synchronization have been presented to prove that the chaotic synchronization method is feasible, such as linear and nonlinear feedback synchronization [4,5], impulsive synchronization [6], adaptive synchronization [7], and observer based control method [8]. Among these schemes, hybrid synchronization is one in which some of the chaotic systems are synchronized whereas others are antisynchronized [9].…”

A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems

“…Chaos synchronization of finance system has become a hot issue in the research and application of current chaos theory, and it is also a topical issue in the study of economic theory and method. Scholars have also done a lot of related work in the financial system, as well as in the control and synchronization research [8][9][10]. So far, a lot of methods about chaotic synchronization have been presented to prove that the chaotic synchronization method feasibly [11][12][13][14][15], such as driving response synchronization, coupled synchronization, feedback synchronization, impulsive synchronization, and adaptive synchronization, for the study of chaos synchronization problem has been more mature.…”