Parameter-induced fractal erosion of the safe basin in a softening Duffing oscillator
نویسندگان
چکیده
منابع مشابه
/ Formation of a Fractal Basin Boundary in a , Forced Oscillator
How does a fractal basin boundary arise in the sinusoidally forced Duffing’s equation? We describe how the backwards system flow deforms a local stable manifold into the fractal boundary. Parts of the boundary are labeled in a way related to their time of formation. The truncated fractal boundary produced by a burst of sinusoidal forcing is briefly considered. The approach supplements the insig...
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The safety of a ship is studied using the theory of "safe basin" in this paper. The safe basins of the single degree of freedom (rolling) in waves and winds are investigated. The influences of a static heel angle, waves and winds to the safe basin erosion are examined. It is found that the shape of the safe basin is changed when a static bias angle takes place, and the area of the safe basin de...
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ژورنال
عنوان ژورنال: Journal of Vibroengineering
سال: 2016
ISSN: 1392-8716
DOI: 10.21595/jve.2016.17209