Memristor oscillator based on twin-T network

doi:10.1088/1674-1056/22/4/040502

Abstract A novel inductance-free nonlinear oscillator circuit with a single bifurcation parameter is presented in this paper. This circuit is composed of a twin-T oscillator, a passive RC network, and a flux-controlled memristor. With the increase of control parameter, the circuit exhibits complicated chaotic behaviors from double periodicity. The dynamic properties of the circuit are demonstrated by means of equilibrium stability, Lyapunov exponent spectrum, and bifurcation diagram. In order to confirm the occurrence of chaotic behavior in the circuit, an analog realization of the piecewise-linear flux controlled memristor is proposed and Pspice simulation is conducted on the resulting circuit.

Keywords: chaos memristor piecewise-linear twin-T oscillator

Received: 20 August 2012
Revised: 21 September 2012
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60972147 and 61176032).

Corresponding Authors: Li Zhi-Jun
E-mail: lizhijun@xtu.edu.cn

Cite this article:

Li Zhi-Jun (李志军), Zeng Yi-Cheng (曾以成) Memristor oscillator based on twin-T network 2013 Chin. Phys. B 22 040502

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