Simplest Chaotic Circuit
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.
v
C
f(x,i)
v'=
i
C
i'=-(v+R(x,i)i)
1
L
x'=f(x,i)
i
x