Bifurcation Phenomena of the Rotation Map with a Controlling Segment

Yusuke Matsuoka; Toshimichi Saito

Summary

International Symposium on Nonlinear Theory and its Applications

2008

Session Number:B3L-C

Session:

Number:B3L-C1

Bifurcation Phenomena of the Rotation Map with a Controlling Segment

Yusuke Matsuoka, Toshimichi Saito,

pp.-

Publication Date:2008/9/7

Online ISSN:2188-5079

DOI:10.34385/proc.42.B3L-C1

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Summary:

This paper studies dynamics of a rotation-based map with a controlling segment. The map causes rich superstable, chaotic and bifurcation phenomena when
parameters vary. A slope on the controlling segment can govern dynamics. We analyze the dynamics and clarify basic bifurcation mechanism. We show an application to A/D converters based on spiking neuron.