Title :
Bifurcation analysis of maps with delay in nonlinear term via a frequency-domain approach
Author :
Zeng, Li ; Junwei Wang
Author_Institution :
Dept. of Appl. Math., Guangdong Univ. of Foreign Studies, Guangzhou, China
Abstract :
A unified frequency-domain approach to analyze Hopf and period-doubling bifurcations in nonlinear maps with delay is presented. The technique relies on the HBA (harmonic balance approximation) and feedback systems theory. The expressions of the bifurcation solution and the stability are obtained. One example is used to verify the result obtained.
Keywords :
approximation theory; bifurcation; control system analysis; delays; feedback; frequency-domain synthesis; nonlinear control systems; stability; Hopf bifurcation; bifurcation stability; delays; feedback systems theory; frequency-domain approach; harmonic balance approximation; map bifurcation analysis; nonlinear term; period-doubling bifurcation; Bifurcation; Delay; Eigenvalues and eigenfunctions; Frequency domain analysis; Harmonic analysis; Stability analysis; Hopf bifurcations; discrete-time systems; frequency-domain approach; harmonic balance approach; period doubling bifurcations;
Conference_Titel :
Power Engineering and Automation Conference (PEAM), 2011 IEEE
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9691-4
DOI :
10.1109/PEAM.2011.6135008
