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.
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.
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A fast and simple implementation of Chua’s oscillator using a “cubic–like” Chua diode
Keith O’Donoghue∗ Michael Peter Kennedy† Peadar Forbes‡
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
- †Tyndall National Institute, Lee Maltings, Cork, Ireland. e-mail
- ‡Analog Devices, Raheen Industrial Estate, Limerick, Ireland, e-mail
- Plasmon resonance coupling to chaotic Chua Oscillator
- FitzHugh-Nagumo Model
- Rodolfo Llinas (2008) Neuron. Scholarpedia, 3(8):1490, revision #66077