The dead‐zone conductor hyperchaos generator
Toshimichi Saito · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1990
Abstract This paper discusses a simple four‐dimensional autonomous hyperchaos generator. This circuit includes only one nonlinear element: a dead‐zone conductor (serially connected Zener diodes) and the circuit dynamics is described by a piecewise‐linear canonical equation. Regarding the dead‐zone conductor as a switch, the circuit equation can be simplified and hence a two‐dimensional Poincaré map can be defined. This simplification is proved to be reasonable for an n‐dimensional canonical form. The Poincaré map and its Lyapunov exponents can be calculated by using exact solutions and they explicate the generation of hyperchaos and related phenomena.