Art

J-GLOBAL ID：201402297507249790   Reference number：14A1130807

Noise-induced effect on asymptotic periodicity for random dynamical systems

ランダム力学系に対する漸近周期性への雑音誘起効果

Author (2)： ISHITANI Kensuke (Meijo Univ., Nagoya, JPN) ,  ISHITANI Hiroshi (Mie Univ., Mie, JPN)
Material： Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications (CD-ROM)  (Proc ISCIE Int Symp Stoch Syst Theory Appl (CD-ROM))
Volume： 45th  Page： 350-355  Publication year： 2014 
JST Material Number： X0317B  ISSN： 2188-4749  Document type： Proceedings
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *dynamical system ,  *disordered system ,  *noise (signal) ,  periodic orbit ,  asymptotic behavior ,  mapping ,  density distribution ,  ergodic property
Semi thesaurus term： random system

JST classification (2)： Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B) ,  Classical mechanics  (BA04000D)

Reference (6)：

• [1] T. INOUE AND H. ISHITANI: Asymptotic periodicity of densities and ergodic properties for nonsingular systems, Hiroshima Math. J., 21, pp.597-620, 1991.
• [2] S. KAKUTANI: Random ergodic theorems and Markov processes with a stable distribution, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, pp.247-261, 1951.
• [3] T. MORITA: Random iteration of one-dimensional transformations, Osaka J. Math., 22, pp.489-518, 1985.
• [4] T. MORITA: Asymptotic behavior of one-dimensional random dynamical systems, J. Math. Soc. Japan, 37, pp.651-663, 1985.
• [5] T. MORITA: Deterministic version lemmas in ergodic theory of random dynamical systems, Hiroshima J. Math., 18, pp.15-29, 1985.

Terms in the title (3)： 力学系 ,  周期性 ,  雑音