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Chaos generation using binary hysteresis. (English) Zbl 0608.58033
A two dimensional dynamical system with hysteresis is considered. It is shown that an axis return map is continuous and has a periodic point of period three (for appropriate values of parameters). By Sharkovskij’s theorem (the authors refer to the later paper of Li and Yorke) the dynamics of such a system has some chaotic features. The experimental results showing that such phenomena may occur in electronic circuits are given. In the authors’ view, the pumping of the heart is of similar nature.
Reviewer: M.Lyubich

MSC:
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
94C05 Analytic circuit theory
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