Oscillator Made of Only One Memristor and One Battery

Author:

Sah Maheshwar PD.12,Mannan Zubaer Ibna2,Kim Hyongsuk3,Chua Leon4

Affiliation:

1. Department of Computer Science and Engineering, University of Notre Dame, Notre Dame, IN 46556, USA

2. Division of Electronics and Information Engineering, Chonbuk National University, Jeonju, Jeonbuk 561-756, South Korea

3. Division of Electronic Engineering and Intelligent Robot Research Center, Chonbuk National University, Jeonju, Jeonbuk 561-756, South Korea

4. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA

Abstract

Contrary to the traditional belief that at least two energy-storage elements (capacitor and/or inductor) and a locally-active nonlinearity are needed to build an electronic oscillator, this paper presents an oscillator made with only two circuit elements, namely, a memristor and a battery. This simplest of all physical oscillators also serves as a textbook example for explaining the intimate relationship between the super-critical Hopf bifurcation phenomenon and the edge of chaos.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

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