DocumentCode
1194554
Title
Experimental confirmation of the period-adding route to chaos in a nonlinear circuit
Author
Pei, Liu-qing ; Guo, Fen ; Wu, Shu-xian ; Chua, Leon O.
Volume
33
Issue
4
fYear
1986
fDate
4/1/1986 12:00:00 AM
Firstpage
438
Lastpage
442
Abstract
Experimental confirmation has been made on a negativeresistance oscillator circuit which exhibits the new period-adding route to chaos recently reported by Kaneko on a discrete map. The nonlinear element in the circuit is a negative-resistance device synthesized by using two bipolar transistors and four positive linear resistors. This circuit exhibits a new route to chaos; namely, through period-adding where the periods of two successive periodic waveforms belonging to each periodadding sequence differ by one; i.e., from period
to
or
. The transition to chaos (after one or more periodic states) resulted directly from a loss of stability of a periodic state at a bifurcation point. Several general features of the periodic-chaotic transition sequence have been observed and presented.
to
or
. The transition to chaos (after one or more periodic states) resulted directly from a loss of stability of a periodic state at a bifurcation point. Several general features of the periodic-chaotic transition sequence have been observed and presented.Keywords
Chaos; Negative-resistance devices; Nonlinear oscillators; Automatic control; Chaos; Circuit synthesis; Councils; Equations; Linear systems; Network address translation; Nonlinear circuits; Oscillators; Transfer functions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1986.1085918
Filename
1085918
Link To Document