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Attractors in an Eventually Bounded Circuit
Makoto ITOH Sanemitsu HAYASHI
Publication
IEICE TRANSACTIONS (19761990)
Vol.E71
No.8
pp.750758 Publication Date: 1988/08/25 Online ISSN:
DOI: Print ISSN: 00000000 Type of Manuscript: PAPER Category: Nonlinear Problems Keyword:
Full Text: PDF>>
Summary:
Our primary purpose of this paper is to study attractors and bifurcation phenomenon appearing in an eventually bounded circuit. The secondary purpose is to demonstrate the results obtained from the instruments which display Lorenz maps, Poincaré maps and cross sections of attractors on a synchroscope. The above mentioned circuit contains two nonlinear resistors and is written as 3 first order differential equations. Experimental observations show: (a) maximum number of the attractors in three. (b) maximum number of the stable limit cycles is three. (c) maximum number of the chaotic attractor is two. Observed bifurcations are: (a) Hopf bifurcation, (b) period doubling bifurcation, (c) periodic window. Furthermore, we examined the Feigenbaum constant δ experimentally and estimated it at 4.67.

