Art

J-GLOBAL ID：201002275980708090   Reference number：10A1153821

Some Properties of Logistic Maps over Integers

整数上のロジスティックマップの幾つかの性質

Author (3)： MIYAZAKI Takeru (Univ. Kitakyushu, Kitakyushu-shi, JPN) ,  ARAKI Shunsuke (Kyushu Inst. of Technol., Iizuka-shi, JPN) ,  UEHARA Satoshi (Univ. Kitakyushu, Kitakyushu-shi, JPN)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Institute of Electronics, Information and Communication Engineers)  (IEICE Trans Fundam Electron Commun Comput Sci (Inst Electron Inf Commun Eng))
Volume： E93-A  Issue： 11  Page： 2258-2265  Publication year： Nov. 01, 2010 
JST Material Number： F0699C  ISSN： 0916-8508  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *logistic map ,  disordered system ,  *integer ,  *performance evaluation ,  *signal sequence ,  performance analysis

JST classification (2)： Signal theory  (ND02020G) ,  Theory of computation  (JB02000A)

Reference (5)：

• MAY, R. Simple mathematical model with very complicated dynamics. Nature. 1976, 261, 5560, 459-467
• IEEE Standards. IEEE Standard for Binary Floating-Point Arithmetic. ANSI/IEEE Standard 754-1985. 1985
• PHATAK, S. Logistic map : A possible random number generator. Phys. Rev. E. 1995, 51, 4, 3670-3678
• MIYAZAKI, T. Period and link length of the logistic map over integers. Proc. ISITA2008. 2008
• MIYAZAKI, T. A study on relations between loops in sequences generated by the logistic map over integers and real numbers. Proc. IWSDA2009. 2009

Terms in the title (3)： 整数 ,  ロジスティックマップ ,  性質