Embedding any desired number of coexisting attractors in memristive system*
Chunbiao Li, Ran Wang, Xu Ma, Yicheng Jiang, Zuohua Liu
Abstract
A simple variable-boostable system is selected as the structure for hosting an arbitrarily defined memristor for chaos producing. The derived three-dimensional (3-D) memristive chaotic system shows its distinct property of offset, amplitude and frequency control. Owing its merits any desired number of coexisting attractors are embedded by means of attractor doubling and self-reproducing based on function-oriented offset boosting. In this circumstance two classes of control gates are found: one determines the number of coexisting attractors resorting to the independent offset controller whil the other is the initial condition selecting any one of them. Circuit simulation gives a consistent output with theoretically predicted embedded attractors.