Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第31回ISCIE「確率システム理論と応用」国際シンポジウム(1999年11月, 横浜)
Random Perturbations of One-dimensional Chaotic Systems with Linear Type Invariant Density
Toshihiko Yasuda
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ジャーナル フリー

2000 年 2000 巻 p. 83-88

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抄録
In this paper, deterministic chaotic systems with random perturbations are investigated. The stationary distribution of the chaotic system with additive random perturbations is theoretically obtained, where the invariant measure of the chaotic system is described by a linear function and random perturbations are given by independent random variables with the identical and uniform distribution. An example with numerical experiment shows the validity of results obtained in this investigation.
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© 2000 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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