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Chaotic phenomena in four circuits with an ideal diode due to the change of the oscillation frequency

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2 Author(s)
Inaba, N. ; Fac. of Eng., Utsunomiya Univ., Japan ; Mori, S.

Four simple chaos-generating circuits that include a diode are proposed for which both rigorous analyses and physical explanations of the generation of chaos are given. The idealized case in which the diode in the circuit operates as a simple on-off switching element is considered. In this case, the circuit equation is represented as an equation in which two linear second-order ordinary differential equations that have considerably different oscillation frequency are connected to each other by the switching operation of the diode. It is clarified that this effect causes a stretching and folding mechanism. Moreover, it is possible to derive a Poincare map strictly as a one-dimensional map that is similar to a logistic map, and it explains the generation of chaos

Published in:

Circuits and Systems, 1989., IEEE International Symposium on

Date of Conference:

8-11 May 1989