Paper Info
Title
Dynamic Behaviors and the Equivalent Realization of a Novel Fractional-Order Memristor-Based Chaotic Circuit.
Abstract
This paper proposed a novel fractional-order memristor-based chaotic circuit. A memristive diode bridge cascaded with a fractional-order RL filter constitutes the generalized fractional-order memristor. The mathematical model of the proposed fractional-order chaotic circuit is established by extending the nonlinear capacitor and inductor in the memristive chaotic circuit to the fractional order. Detailed theoretical analysis and numerical simulations are carried out on the dynamic behavior of the proposed circuit by investigating the stability of equilibrium points and the influence of circuit parameters on bifurcations. The results show that the order of the fractional-order circuit has a great influence on the dynamical behavior of the system. The system may exhibit complicated nonlinear dynamic behavior such as bifurcation and chaos with the change of the order. The equivalent circuits of the fractional-order inductor and capacitor are also given in the paper, and the parameters of the equivalent circuits are solved by an undetermined coefficient method. Circuit simulations of the equivalent fractional-order memristive chaotic circuit are carried out in order to validate the correctness of numerical simulations and the practicability of using the integer-order equivalent circuit to substitute the fractional-order element.
Year
DOI
Venue
2018
10.1155/2018/9467435
COMPLEXITY
Field
DocType
Volume
RL circuit,Memristor,Capacitor,Nonlinear system,Control theory,Inductor,Diode bridge,Chaotic,Equivalent circuit,Mathematics
Journal
2018
ISSN
Citations 
PageRank 
1076-2787
0
0.34
References 
Authors
12
5
Name
Order
Citations
PageRank
Ningning Yang111.75
Cheng Xu296.64
Chaojun Wu311.07
Rong Jia411.75
Chongxin Liu5264.07