Simplest Chaotic Circuit
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows a simulation of the simplest possible chaotic circuit. It contains just three fundamental circuit elements (inductor, capacitor, and memristor) in series. Hence, it is specified by the minimum number of states (three) required for chaos: voltage across the capacitor , current through the inductor , and internal state of the memristor (see ). The system equations are , , , where is the inductance and is unknown.
Contributed by: Bharathwaj Muthuswamy (March 2011)
(Milwaukee School of Engineering)
Open content licensed under CC BY-NC-SA
Snapshot 2: this shows evidence of a limit cycle; vary to observe evidence of the period-doubling route to chaos
 B. Muthuswamy and L. O. Chua, "Simplest Chaotic Circuit," International Journal of Bifurcation and Chaos, 20(5), 2010 pp. 1567–1580.