Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Section on Recent Progress in Nonlinear Theory and Its Applications
The cylinder manifold piecewise linear system: Analysis and implementation
Kazuyuki KimuraShotaro SuzukiTadashi TsuboneToshimichi Saito
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2015 Volume 6 Issue 4 Pages 488-498

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Abstract

This paper presents a novel autonomous chaotic system defined by a second-order piecewise linear system on the cylinder-type phase space and hysteresis switching. This system can generate super-expanding chaos characterized by a very large positive Lyapunov exponent. Using the piecewise linear one-dimensional return map, the chaos generation is guaranteed theoretically. Presenting a simple test circuit, typical phenomena are confirmed experimentally.

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© 2015 The Institute of Electronics, Information and Communication Engineers
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