Attractors in an Eventually Bounded Circuit

Makoto ITOH  Sanemitsu HAYASHI  

IEICE TRANSACTIONS (1976-1990)   Vol.E71   No.8   pp.750-758
Publication Date: 1988/08/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Nonlinear Problems

Full Text: PDF>>
Buy this Article

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 non-linear 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.