A Chaotic Oscillator Based on HP Memristor Model. (29th October 2015)

• Record Type: Journal Article
• Authors: Wang, Guangyi; Cui, Mingzhang; Cai, Bozhen; Wang, Xiaoyuan; Hu, Tiling
• Other Names: Riaza Ricardo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-10-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/561901
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper proposes a simple autonomous memristor-based oscillator for generating periodic signals. Applying an external sinusoidal excitation to the autonomous system, a nonautonomous oscillator is obtained, which contains HP memristor model and four linear circuit elements. This memristor-based oscillator can generate periodic, chaotic, and hyperchaotic signals under the periodic excitation and an appropriate set of circuit parameters. It also shows that the system exhibits alternately a hidden attractor with no equilibrium and a self-excited attractor with a line equilibrium as time goes on. Furthermore, some specialties including burst chaos, irregular periodic bifurcations, and nonintermittence chaos of the circuit are found by theoretical analysis and numerical simulations. Finally, a discrete model for the HP memristor is given and the main statistical properties of this memristor-based oscillator are verified via DSP chip experiments and NIST (National Institute of Standards and Technology) tests.