Simplification of Chaotic Circuits With Quadratic Nonlinearity

Typically, a chaotic system with quadratic terms is realized based on integral summation circuits, where however operational amplifiers and multipliers are usually overused. In this brief, a new approach for simplifying such circuit implementation is proposed utilizing the inherent characteristics of a multiplier. As a result, a chaotic system with quadratic terms is realized using only a few multipliers combined with some passive linear elements. In some circumstances, an operational amplifier is employed with simple linear feedback in case the multiplier is overloaded. This simplification of chaotic circuits makes chaos generation more easily implementable, cost-effective, and hence practical for chaos-based communications.