Nonideal Behavior of Analog Multipliers for Chaos Generation

In this brief, nonideal behaviors of analog multipliers are explicitly taken into account in the design of nonlinear electronic circuits. The nonidealities of the analog multipliers led to further nonlinear terms that, instead of being considered as parasitic effects, are here explicitly accounted for and exploited to generate new complex dynamics, including chaos. In fact, despite the accuracy of analog devices, nonideal effects are always present, even if often neglected. An analog circuit based on a new nonlinear system is designed and tested, in which the nonideal terms in the multiplier input/output relation are essential for the onset of chaos, thus demonstrating the suitability of the approach.

(Manuscript received September 2, 2015; accepted October 10, 2015. Date of publication November 25, 2015; date of current version March 24, 2016.)

Ref: A. Buscarino, C. Coprradino, L. Fortuna, M. Frasca, and, J. C. Sprott, IEEE Transactions on Circuits and Systems--II: Express Briefs 63, 396-400 (2016)