抄録
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 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Analysis
- Applied Mathematics
これを引用
Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues. / Takahashi, You; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Nakamura, Yoshimasa.
：: Applicable Analysis, 巻 92, 番号 3, 03.2013, p. 586-594.研究成果: Article
}
TY - JOUR
T1 - Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues
AU - Takahashi, You
AU - Iwasaki, Masashi
AU - Fukuda, Akiko
AU - Ishiwata, Emiko
AU - Nakamura, Yoshimasa
PY - 2013/3
Y1 - 2013/3
N2 - 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.
AB - 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.
KW - asymptotic behaviour
KW - centre manifold theory
KW - the discrete hungry Lotka-Volterra system
UR - http://www.scopus.com/inward/record.url?scp=84873903988&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873903988&partnerID=8YFLogxK
U2 - 10.1080/00036811.2011.631915
DO - 10.1080/00036811.2011.631915
M3 - Article
AN - SCOPUS:84873903988
VL - 92
SP - 586
EP - 594
JO - Applicable Analysis
JF - Applicable Analysis
SN - 0003-6811
IS - 3
ER -