Simplest Chaotic Circuit

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 [1]). The system equations are , , , where is the inductance and is unknown.

SNAPSHOTS

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DETAILS

Snapshot 2: this shows evidence of a limit cycle; vary to observe evidence of the period-doubling route to chaos
Reference
[1] B. Muthuswamy and L. O. Chua, "Simplest Chaotic Circuit," International Journal of Bifurcation and Chaos, 20(5), 2010 pp. 1567–1580.
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