"Recurrence Equations", An Integrable System(General)

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概要

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• 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,X_n+1,X_n+2,...,X_n+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.

• 社団法人日本物理学会の論文
• 2002-12-15

著者

• Hirota Ryogo

  School Of Science And Engineering Waseda University

• YAHAGI Hideyuki

  School of Science and Engineering, Waseda University

• Yahagi Hideyuki

  School Of Science And Engineering Waseda University

関連論文

• "Recurrence Equations", An Integrable System(General)

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