Chaos in Nonlinear Difference Equations. I : Qualitative Study of (Formal) Chaos
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概要
- 論文の詳細を見る
The interrelations among physicists' intuitive pictures of chaos are considered. Fortunately, in the case of C^0-endomorphisms of an interval (1-dimensional nonlinear difference equations with continuous functions), almost all the intutively plausible pictures of chaos -the mixing property (of some induced map), the positivity of the Kolmogorov (and topological) entropy, the existence of a homoclinic point, the existence of some natural correspondence with the "coin-tossing" process (formal chaos), etc. -are equivalent. The chaos in the sense of Li and Yorke follows from one of these properties.
- 理論物理学刊行会の論文
- 1980-07-25
著者
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Oono Yoshitsugu
Research Institute Of Industrial Science Kyushu University
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Oono Yoshitsugu
Research Institute For Mathematical Sciences Kyushu University
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OSIKAWA Motosige
College of General Education, Kyushu University
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Osikawa Motosige
College Of General Education Kyushu University
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