A Double-Memristor Hyperchaotic Oscillator With Complete Amplitude Control

Two generalized flux-controlled memristors are applied for hyperchaos generation, and following a four-dimensional hyperchaotic oscillator is constructed. The applied two memristors share a common internal control variable. The new hyperchaotic oscillator exhibits complex dynamics including coexisting chaos and attractor merging. A single constant can realize offset boosting revising the oscillation distribution in phase space. Meanwhile, an amplitude knob rescales the variable making it convenient to construct an analog circuit. The implementation of an analog circuit verifies the consistency with numerical simulation and theoretical analysis.