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- Hirota Ryogo
- School of Science and Engineering, Waseda University, Tokyo, 169-8555
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- Yahagi Hideyuki
- School of Science and Engineering, Waseda University, Tokyo, 169-8555
書誌事項
- タイトル別名
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- "Recurrence Equations", An Integrable System.
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説明
We investige discrete equations which return to the initial states after a finite time regardless of the initial values, which we call “recurrence equations”. The recurrence equation exhibits conserved quantities which are expressed by the fundamental symmetric polynomials of solutions, xn+1, xn+2,…, xn+N to the equations of period N. We show that the recurrence equation is integrable by using algebraic entropy and the conserved quantities. We present new recurrence equations of order k (k≥ 2) which have periods k+1 and 2k+2, respectively.
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 71 (12), 2867-2872, 2002
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
- 1390282679160534784
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- NII論文ID
- 110001954157
- 130004538000
- 210000103990
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- NII書誌ID
- AA00704814
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- BIBCODE
- 2002JPSJ...71.2867H
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- ISSN
- 13474073
- 00319015
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- MRID
- 1954122
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- NDL書誌ID
- 6393574
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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サーチ
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