title: Multi-piecewise quadratic nonlinearity memristor and its 2N-scroll and 2N + 1-scroll chaotic attractors system.
abstract: In this paper, two kinds of novel ideal active flux-controlled smooth multi-piecewise quadratic nonlinearity memristors with multi-piecewise continuous memductance function are presented. The pinched hysteresis loop characteristics of the two memristor models are verified by building a memristor emulator circuit. Using the two memristor models establish a new memristive multi-scroll Chua's circuit, which can generate 2N-scroll and 2N+1-scroll chaotic attractors without any other ordinary nonlinear function. Furthermore, coexisting multi-scroll chaotic attractors are found in the proposed memristive multi-scroll Chua's circuit. Phase portraits, Lyapunov exponents, bifurcation diagrams, and equilibrium point analysis have been used to research the basic dynamics of the memristive multi-scroll Chua's circuit. The consistency of circuit implementation and numerical simulation verifies the effectiveness of the system design.
authors.affiliation: College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China.
authors.forename: Chunhua
authors.initials: C
authors.lastname: Wang
authors.affiliation: College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China.
authors.forename: Xiaoming
authors.identifier: 0000000270886359
authors.initials: X
authors.lastname: Liu
authors.affiliation: College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China.
authors.forename: Hu
authors.initials: H
authors.lastname: Xia