Distribution Phenomena in Continued Fractions and Logistic Map : Condensed Matter and Statistical Physics

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概要

• 論文の詳細を見る

• We have been studying chaotic behavior and chaos-like behavior in continued fractions. In this paper, such chaos-like behavior is investigated in detail. This behavior originates in the complex numbers that determine the Cauchy distributions, where cyclic terms discretely appear at isolated parameter values. The distributions are formed along with alternate tangent functions that are dominated by the cyclic terms characterized by double-Markov processes. Finally, the probability densities of the logistic map are analyzed based on the Cauchy distributions, like state density calculations in solids.

• 理論物理学刊行会の論文
• 1999-04-25

著者

• OBATA Shuji

  Physics Laboratory, Faculty of Science and Engineering, Tokyo Denki University

• Obata S

  Tokyo Denki Univ. Saitama Jpn

• Obata Shuji

  Physics Laboratory Faculty Of Science And Engineering Tokyo Denki University

• Ohkuro S

  Hachinohe Inst. Technol.

• Ohkuro Shigeru

  Laboratory Of Information Aud System Engineering Hachinohe Institute Of Technology

関連論文

• Chaotic and Chaos-Like Behavior in Continued Fractions
• Computer Algebra of Integral Transform with Maple
• Distribution Phenomena in Continued Fractions and Logistic Map : Condensed Matter and Statistical Physics
• A Simple Semiempirical Method for Calculating Electronic Structures in Molecules and Amorphous Materials
• Electronic Structure Calculations of Carbon Nanomaterials
• Improvement in the Clustered Recursion Method

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