DocumentCode :
1230118
Title :
Linearization, stability, and oscillation of the discrete delayed logistic system
Author :
Chen, Guanrong ; Liu, Shu Tang
Author_Institution :
Dept. of Electron. Eng., City Univ. of Hong Kong, China
Volume :
50
Issue :
6
fYear :
2003
fDate :
6/1/2003 12:00:00 AM
Firstpage :
822
Lastpage :
826
Abstract :
Asymptotic behavior of all solutions of the delayed logistic system xn+1+axn=μnxn(1-xn-σ) is investigated. Some sufficient conditions for this equation to be stable are derived, and some necessary and sufficient conditions for oscillations of its solutions are also obtained.
Keywords :
asymptotic stability; delay systems; discrete systems; linearisation techniques; oscillations; asymptotic stability; discrete delayed logistic system; linearization; oscillation; Automatic control; Chaos; Circuit stability; Circuits and systems; Delay systems; Difference equations; Logistics; Numerical analysis; Sufficient conditions;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/TCSI.2003.812618
Filename :
1208631
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1230118
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