Bifurcation from a Chaos Generator Including Switched Inductor with Time Delay

Masanobu KUBOSHIMA  Toshimichi SAITO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E80-A   No.9   pp.1567-1571
Publication Date: 1997/09/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
chaos,  bifurcation,  nonlinear inductor,  mapping procedure,  switching elements,  

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This paper proposes a piecewise linear non-autonomous chaos generator that includes a switched inductor with time delay. The dynamics can be grasped by using piecewise exact solutions and one-dimensional return map can be derived rigorously. Using the return map, we formulate bifurcation equations and clarify tangent bifurcation route to chaos. Rough global bifurcation sets are given. Some of chaotic attractors are verified in the laboratory.