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- W2369528797 abstract "The main purpose of this paper is to investigate the complex dynamics that the time delay induces in a kind of single degreeof-freedom self exciting vibration systems with linear delayed position feedbacks.The mathematical model under consideration is a delayed Duffing system,which is obtained by applying linear time delayed position feedbacks to a van der Pol-Duffing oscillator.The Hopf bifurcation of the delayed system derived by time delay is studied qualitatively.And it is found quantitatively that the time delay can make the multiple quasi-periodic and chaotic motions coexisting in the controlled system.Then the quasi-periodic attractors and chaotic attractors and their basins of attraction under different values of time delay in the delayed system are also classified by the 4th RungeKutta approach and Monte Carlo method.It is shown that each boundary of the basin of attraction in the delayed system is smooth and not fractal even if the attractor is chaotic.This paper shows some potential applications for the further study of the mechanism of chaotic motions." @default.
- W2369528797 created "2016-06-24" @default.
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- W2369528797 date "2010-01-01" @default.
- W2369528797 modified "2023-09-23" @default.
- W2369528797 title "Multiple Complex Attractors and Basins of Attraction in a Duffing System with Delayed Position Feedbacks" @default.
- W2369528797 hasPublicationYear "2010" @default.
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