DocumentCode
357503
Title
Hopf bifurcation in discrete-time systems via a frequency domain approach
Author
D´Amico, Maria Belen ; Moiola, Jorge L. ; Paolini, Eduardo E.
Author_Institution
Dept. de Ingenieria Electr., Univ. Nacional del Sur, Bahia Blanca, Argentina
Volume
2
fYear
2000
fDate
2000
Firstpage
290
Abstract
The application of the Hopf bifurcation theorem (HBT) for maps is presented in this paper. The invariant cycle emerging from the bifurcation is approximated using an analogous version of the graphical Hopf theorem (GHT) for continuous-time systems. This technique is formulated in the so-called frequency domain and it involves the use of the Nyquist stability criterion for discrete-time systems. An application example is included for illustration
Keywords
Nyquist stability; bifurcation; discrete time systems; frequency-domain analysis; nonlinear control systems; nonlinear dynamical systems; Hopf bifurcation; Nyquist stability criterion; discrete-time systems; frequency domain approach; invariant cycle; Bifurcation; Delay; Feedback; Frequency domain analysis; Heterojunction bipolar transistors; Instruments; Limit-cycles; Nonlinear equations; Stability criteria; Transmission line matrix methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.873974
Filename
873974
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