Constructing chaotic oscillators with memory components

Memory components, including memristors, meminductors and memcapacitors, have special nonlinear dynamical properties and thus applicable for constructing a compact chaotic circuit in parallel or in series. By selecting the restriction of a memory component, chaos control can also be achieved using a single circuit parameter. In this work, three different types of circuit structures are designed to implement memory components for chaos generation. With the help of a voltage-control or a current-control memristor, within a series or a parallel structure, a memristive chaotic oscillator with partial control is built based on the variable boostable systems. The two constructed structures are equivalent and can be mutually tuned, achieving partial amplitude control as well as offset boosting. By constructing a magnetic-control meminductor or a charge-control memcapacitor, the equivalent parallel circuit is built with a meminductor, a capacitor and a resistor, corresponding to the series circuit with a memcapacitor, an inductor and a resistor. It can be applied to realizing the hypogenetic chaotic jerk system even with conditional symmetry. All the designed circuits are physically realized based on PCB, proving the effectiveness of memory components for chaos generation.