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Estimating the Lyapunov exponent from chaotic time series with dynamic noise
Authors:Koji Yonemoto  Takashi Yanagawa  
Affiliation:aDepartment of Medicine and Clinical Science, Graduate School of Medical Sciences, Kyushu University, Health C&C Center, Kubara 1822-1, Hisayama Town, Kasuya-gun, Fukuoka 811-2501, Japan;bBiostatistics Center, Kurume University, 67 Asahi-machi, Kurume, 830-0011, Japan
Abstract:In this paper, we propose an estimator of the Lyapunov exponent of the skeleton for chaotic time series with dynamic noise and prove the consistency of the estimator under some assumptions.
Keywords:Embedding dimension   Delay time   Nadaraya–  Watson kernel type estimator     mml80"  >  text-decoration:none   color:black"   href="  /science?_ob=MathURL&_method=retrieve&_udi=B7CRS-4N3GFMP-1&_mathId=mml80&_user=10&_cdi=18002&_rdoc=9&_acct=C000069468&_version=1&_userid=6189383&md5=fe51474ef4a0bcd30e7a0bd76a83f9d0"   title="  Click to view the MathML source"   alt="  Click to view the MathML source"  >  http://www.sciencedirect.com/scidirimg/entities/3d5.gif"   alt="  phi"   title="  phi"   border="  0"  >-mixing   Lyapunov exponent
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