Inverse Problem and Central Limit Theorem in Chaotic Map Theory.
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- Sogo Kiyoshi
- Department of Physics, School of Science, Kitasato University, 1–15–1 Kitasato, Sagamihara, Kanagawa 228–0829
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抄録
An inverse problem to find chaotic map(s) having a given invariant measure is formulated using a functional equation. A set of exact solutions, termed the Chebyshev hierarchy (maps defined by Chebyshev polynomials), is found for this equation. Then, an analogue of the central limit theorem is formulated and is exemplified by the Chebyshev hierarchy through explicit calculations.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 68 (11), 3469-3472, 1999
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679157959424
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- NII論文ID
- 110001955305
- 210000101955
- 130004536908
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1999JPSJ...68.3469S
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- ISSN
- 13474073
- 00319015
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- MRID
- 1735272
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- NDL書誌ID
- 4917617
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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