Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第33回ISCIE「確率システム理論と応用」国際シンポジウム(2001年10月, 栃木)
Noise-induced Chaotic Bifurcations of Random Attractors
Katsutoshi YOSHIDAKeijin SATO
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2002 年 2002 巻 p. 145-148

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Noise-induced chaotic bifurcations of random attractors arising in a Duffing oscillator with harmonic and random excitations are investigated. We first follow the standard pullback procedure to obtain random invariant measures and then intuitively construct Poincaré maps of them. The results on the stability and fractal analysis show that the noise-induced chaotic behavior which is not strange is generated from strange but non-chaotic invariant measures.
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© 2002 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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