Chua's Circuit - Chaotic Criteria

Chaotic Criteria

An autonomous circuit made from standard components (resistors, capacitors, inductors) must satisfy three criteria before it can display chaotic behaviour. It must contain:

  1. one or more nonlinear elements
  2. one or more locally active resistors
  3. three or more energy-storage elements.

Chua's circuit is the simplest electronic circuit meeting these criteria. As shown in the figure, the energy storage elements are two capacitors (labeled C1 and C2) and an inductor (labeled L1). There is an active resistor (labeled R). There is a nonlinear resistor made of two linear resistors and two diodes. At the far right is a negative impedance converter made from three linear resistors and an operational amplifier. The section to the right simulates Chua's diode, a component that is currently not sold commercially.

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