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 |
| 巻 | 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
フィンガープリント Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Takahashi, Y., Iwasaki, M., Fukuda, A., Ishiwata, E., & Nakamura, Y. (2013). Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues. Applicable Analysis, 92(3), 586-594. https://doi.org/10.1080/00036811.2011.631915