Synthesis and analysis of chaotic circuits using switched-current techniques

Discrete-time chaotic circuits realizing a tent map and a Bernoulli map are synthesized using switched-current (SI) techniques. For these proposed circuits, simulations are performed concerning the return maps and bifurcation trees. The theoretical analysis is carried out to predict the bifurcation tree under the existence of the nonidealities in the return map. This analysis has been done by assuming the return maps to be piecewise linear. The proposed circuits are built with commercially available IC's. And their return maps and bifurcation trees are measured in the experiment. The design formulas are obtained for the bifurcation trees and they are confirmed by the simulation results. The proposed circuits are integrable by a standard BiCMOS technology.