A Simple Chaotic Spiking Oscillator Having Piecewise Constant Characteristics

Yusuke MATSUOKA  Toshimichi SAITO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.9   pp.2437-2440
Publication Date: 2006/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.9.2437
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Nonlinear Problems
chaos,  bifurcation,  switched dynamical systems,  switched capacitor,  

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This paper studies a chaotic spiking oscillator consisting of two capacitors, two voltage-controlled current sources of signum shape and one impulsive switch. The vector field of circuit equation is piecewise constant and embedded return map is piecewise linear. Using the map parameter condition for chaos generation is given. Using a simple test circuit typical phenomena can be confirmed experimentally.