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Chua Oscillator

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Chua's circuit is a simple and well known chaotic oscillator.

The focus on this study is toward creating a delicate balance that is perturbed by the environ of the circuit.


Overview

The Chua Oscillator is an electronic circuit based on a negative resistor that is modeled by an operational amplifier.


Chua circuit voltage waveform images (phase-space plots)

From WorldSciBooks.com

The effect of negative resistance creates a non-linear amplification of any dynamic found within the electronic voltage levels of the circuit. Minor circuit parameter changes can cause modal stability shifts. The chaotic re-trace between oscillation limits is prone to escape into stability that is determined by the prevailing attractor basin of the overall operating environ of the circuit.


Google search Chua Oscillator —http://www.google.com/search?q=chua%27s+oscillator&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a


A fast and simple implementation of Chua’s oscillator using a “cubic–like” Chua diode

Keith O’Donoghue Michael Peter Kennedy Peadar Forbes

Abstract

The nonlinearity in Chua’s oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua’s oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation.

This work describes a novel implementation of Chua’s oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times that of the original Chua’s oscillator.


∗Department of Microelectronic Engineering, University College Cork, Ireland, e-mail
k.odonoghue@student.ucc.ie
†Tyndall National Institute, Lee Maltings, Cork, Ireland. e-mail
peter.kennedy@ucc.ie
‡Analog Devices, Raheen Industrial Estate, Limerick, Ireland, e-mail
peadar.forbes@analog.com

Link A_Fast_And_Simple_Implementation_Of_Chua_Oscillator.pdf


Reflections

  • Plasmon resonance coupling to chaotic Chua Oscillator


See also

FitzHugh-Nagumo Model
Rodolfo Llinas (2008) Neuron. Scholarpedia, 3(8):1490, revision #66077