• Hirota Ryogo
    School of Science and Engineering, Waseda University, Tokyo, 169-8555
  • Yahagi Hideyuki
    School of Science and Engineering, Waseda University, Tokyo, 169-8555

書誌事項

タイトル別名
  • "Recurrence Equations", An Integrable System.

この論文をさがす

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

被引用文献 (2)*注記

もっと見る

参考文献 (24)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ