A Chaotic Oscillator Based on HP Memristor Model

Guangyi Wang, Mingzhang Cui, Bozhen Cai, Xiaoyuan Wang and Tiling Hu

Mathematical Problems in Engineering, 2015, vol. 2015, 1-12

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:561901

DOI: 10.1155/2015/561901

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