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Bifurcation analysis of maps with delay in nonlinear term via a frequency-domain approach

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2 Author(s)
Li Zeng ; Dept. of Appl. Math., Guangdong Univ. of Foreign Studies, Guangzhou, China ; Junwei Wang

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.

Published in:

Power Engineering and Automation Conference (PEAM), 2011 IEEE  (Volume:3 )

Date of Conference:

8-9 Sept. 2011