Complex Two-Parameter Bifurcation Diagrams of a Simple Oscillating Circuit

It is shown that a simple active oscillating circuit with memristor yields quite complicated two-parameter bifurcation diagrams. When two (out of three) parameters of the circuit change simultaneously, various periodic, chaotic and unstable solutions are obtained. Those solutions result from parallel computing, as a single two-parameter bifurcation diagram requires solving the underlying model hundred of thousands (or even a few million) times. Such diagrams when complemented with one-parameter ones show surprisingly complex bifurcation patterns for the simple circuit having a very weak nonlinearity present in only one of the three differential equations. Color two-parameter bifurcation diagrams are included in this brief.