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On a Hysteresis Oscillator Including Periodic Thresholds
Ken'ichi KOHARI Toshimichi SAITO Hiroshi KAWAKAMI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/12/25
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Circuits and Systems
relaxation oscillator, synchronization, hysteresis, piecewise-linear system, torus,
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In this article, we consider a hysteresis oscillator which includes periodic thresholds. This oscillator relates to a model of human's sleep-wake cycles. Deriving a one dimensional return map rigorously, we can clarify existence regions of various periodic attractors in some parameter subspace. Also, we clarify co-existence regions of periodic attractors and existence regions of quasi-periodic attractors. Some of theoretical results are confirmed by laboratory measurements.