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- W2313175082 startingPage "2024" @default.
- W2313175082 abstract "Numerical and analytical studies are presented here which suggest that chaotic motion is possible from periodic excitation of a parametrically nonlinear mechanical system having Duffing type stiffness and van der Pol damping. Numerical integration is used to obtain phase plane portraits and Poincare maps for large-time motion. Period-doubling bifurcations and several types of limit cycles and chaotic behavior are observed. Chaotic motions are investigated using the Liapunov exponent, the invariant probability distribution, the Li-Yorke's theorem and Mel'nikov's method. Approximate analytical techniques are applied to analyze some of the limit cycles and trasitions of behavior. The results are used to predict the occurrence of chaos." @default.
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- W2313175082 date "1992-01-01" @default.
- W2313175082 modified "2023-09-27" @default.
- W2313175082 title "Chaotic Motion of a Parametrically and Self-Excited Nonlinear Mechanical System Subjected to Harmonic Excitation." @default.
- W2313175082 doi "https://doi.org/10.1299/kikaic.58.2024" @default.
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