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Marszalek, Wieslaw; Sadecki, Jan
IEEE transactions on circuits and systems. II, Express briefs, 04/2019, Letnik: 66, Številka: 4Journal Article
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.
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