Double locally active memristor-based inductor-free chaotic circuit

In this paper, we propose a novel inductor-free chaotic circuit by using two locally active memristors (LAMs), a capacitor, and a DC bias. These two LAMs are the current-controlled and voltage-controlled type, respectively, exhibiting S-type and N-type DC V-I (voltage-current) characteristics. Only when the two LAMs are both operated in the negative differential resistance (NDR) regions, may the periodical and chaotic dynamic behaviors appear in the proposed circuit. This may be because the local activity contributes to the generation of complexity. With different initial conditions, the coexisting attractors are observed in the circuit, which is analyzed through the equilibrium points and phase portraits. Finally, physical circuit realizations of the inductor-free chaotic circuit are presented, including the S-type and N-type memristor emulators. Both simulation and experimental results demonstrate the feasibility of the proposed chaotic circuit.