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A fast and simple implementation of Chua's oscillator with cubic-like nonlinearity

  • Keith O'Donoghue
  • , Michael Peter Kennedy
  • , Peadar Forbes
  • , Min Qu
  • , Stephanie Jones
  • University College Cork
  • Analog Devices, Inc.
  • Cypress Semiconductor
  • St. Peter's Community School

Research output: Contribution to journalArticlepeer-review

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 greater than the original Chua's oscillator.

Original languageEnglish
Pages (from-to)2959-2971
Number of pages13
JournalInternational Journal of Bifurcation and Chaos
Volume15
Issue number9
DOIs
Publication statusPublished - Sep 2005

Keywords

  • Chaos
  • Chua's circuit
  • Chua's oscillator
  • Cubic nonlinearity

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