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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2006 E89-A(10):2767-2774; doi:10.1093/ietfec/e89-a.10.2767
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Copyright © 2006 The Institute of Electronics, Information and Communication Engineers

Special Section on Nonlinear Theory and its Applications -- Papers -- Oscillation, Dynamics and Chaos

Rich Superstable Phenomena in a Piecewise Constant Nonautonomous Circuit with Impulsive Switching

Yusuke MATSUOKA1 and Toshimichi SAITO1

1 The authors are with the Department of Electronics, Electrical and Computer Engineering, Hosei University, Koganei-shi, 184-8584 Japan. E-Mail: matsuoka{at}nonlinear.k.hosei.ac.jp

This paper studies rich superstable phenomena in a nonautonomous piecewise constant circuit including one impulsive switch. Since the vector field of circuit equation is piecewise constant, embedded return map is piecewise linear and can be described explicitly in principle. As parameters vary the map can have infinite extrema with one flat segment. Such maps can cause complicated periodic orbits that are superstable for initial state and are sensitive for parameters. Using a simple test circuit typical phenomena are verified experimentally.

Key Words: chaos, bifurcation, piecewise constant systems, superstable periodic orbits

Manuscript received January 20, 2006. Final manuscript received May 16, 2006.


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