Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues

You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura

研究成果: Article

2 引用 (Scopus)

抜粋

The integrable discrete hungry Lotka-Volterra (dhLV) system is easily transformed to the qd-type dhLV system, which resembles the recursion formula of the qd algorithm for computing matrix eigenvalues. Some of the qd-type dhLV variables play a role for assisting the time evolution of the others. This property does not appear in the original dhLV system. In this article, we first show the existence of a centre manifold for the qd-type dhLV system. With the help of the centre manifold theory, we next investigate the local convergence of the qd-type dhLV system, and then clarify the monotonicity related to the qd-type dhLV variables at the final phase of the convergence.

元の言語English
ページ(範囲)586-594
ページ数9
ジャーナルApplicable Analysis
92
発行部数3
DOI
出版物ステータスPublished - 2013 3 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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