Fast-slow analysis for parametrically and externally excited systems with two slow rationally related excitation frequencies
نویسندگان
چکیده
منابع مشابه
Multi-timescale systems and fast-slow analysis.
Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathematical analysis of these multi-timescale systems can be greatly simplified by par...
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Both the local and global bifurcations of a parametrically and externally excited simply supported rectangular thin plate are analyzed. The formulas of the thin plate are derived from the von Kármán equation and Galerkin’s method. The method of multiple scales is used to find the averaged equations. The numerical simulation of local bifurcation is given. The theory of normal form, based on the ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2015
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.92.012911