A new driven memristive chaotic circuit

The adoption of memristors in the design of chaotic circuits combines their intrinsic properties of being nonlinear and memory devices. Many different chaotic circuits have been, in fact, designed considering different types of nonlinearities modeling the memristor characteristic. In this work the model of a new non-autonomous circuit, designed starting from the topology proposed by Murali, Lakshmanan and Chua [1] and replacing the Chua´s diode with two HP memristors in antiparallel is introduced. The memristor model adopted has been described by Strukov et al. [2] and it is able to reproduce the behavior observed in the actual TiO₂ based memristor. The numerical characterization obtained varying the parameters of the sinusoidal driving signal unveils a rich variety of dynamical behaviors, ranging from limit cycles to different regions of chaotic oscillations. The introduced model goes in the direction of designing non-autonomous chaotic circuits with a small number of components.