Data Processing in Bifurcation Analysis of Maps with Time-Delays in the Frequency Domain

Li Zeng; Jun Wei Wang

doi:10.4028/www.scientific.net/AMM.685.634

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 685Data Processing in Bifurcation Analysis of Maps...

Data Processing in Bifurcation Analysis of Maps with Time-Delays in the Frequency Domain

Abstract:

A unified frequency-domain approach to analyze the NS (Neimark-Sacker) bifurcations and the period-doubling bifurcations of nonlinear maps with time-delays in the linear feed-forward term is presented. The technique relies on the HBA (harmonic balance approximation, a very important method in data processing ) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived.

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Periodical:

Applied Mechanics and Materials (Volume 685)

Pages:

634-637

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.685.634

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Online since:

October 2014

Authors:

Li Zeng*, Jun Wei Wang

Keywords:

Discrete-Time Systems, Feed-Forward, Frequency-Domain Approach, Harmonic Balance Approach, Neimark-Sacker Bifurcation

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