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Prog. Theor. Phys. Vol. 78 No. 3 (1987) pp. 507-510

Letters

Integrals of a Lotka-Volterra System of Odd Number of Variables

Yoshiaki Itoh

The Institute of Statistical Mathematics, Minami-Azabu, Tokyo 106

(Received June 5, 1987)

Abstract:

A Lotka-Volterra system with s+1 conserved quantities of 2s+1 variables is introduced. In the system each species interacts with the other 2s species. The conserved quantities are explicitly represeted by polynomials in a simple way.

URL : http://ptp.ipap.jp/link?PTP/78/507/
DOI : 10.1143/PTP.78.507

[ Full Text PDF : FREE ACCESS (129K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 57 (1988) pp. 2588-2590 :

   Lattice Model for the Lotka-Volterra System

   Kei-ichi Tainaka

2. Journal of the Physical Society of Japan 62 (1993) pp. 1826-1828 :

   Stochastic Model of an Integrable Nonlinear System

   Yoshiaki Itoh

3. Journal of the Physical Society of Japan 64 (1995) pp. 3669-3674 :

   The Lotka-Volterra Equations and the QR Algorithm

   Atsushi Nagai and Junkichi Satsuma

4. Journal of the Physical Society of Japan 65 (1996) pp. 3379-3385 :

   Glass Effect in Inbreeding-Avoidance Systems: Minimum Viable Population for Outbreeders

   Kei-ichi Tainaka and Yoshiaki Itoh

5. Journal of the Physical Society of Japan 66 (1997) pp. 3756-3763 :

   Hidden Symmetry of the Bogoyavlensky Lattice. the Lattice W Algebras and the Vertex Operators

   Kazuhiro Hikami, Kiyoshi Sogo and Rei Inoue

6. Journal of the Physical Society of Japan 67 (1998) pp. 87-92 :

   The Hungry-Volterra Model – The Classical and Quantum Integrable Structures

   Rei Inoue and Kazuhiro Hikami

7. Journal of the Physical Society of Japan 67 (1998) pp. 2237-2241 :

   A New Derivation of the Bäcklund Transformation for the Volterra Lattice

   Yasumasa Kajinaga and Miki Wadati

8. Journal of the Physical Society of Japan 67 (1998) pp. 3729-3733 :

   Discrete Time Bogoyavlensky Lattice and Lattice W Currents

   Rei Inoue and Kazuhiro Hikami

9. Journal of the Physical Society of Japan 68 (1999) pp. 386-390 :

   Lattice W Currents with Discrete Time

   Rei Inoue and Kazuhiro Hikami

10. Journal of the Physical Society of Japan 68 (1999) pp. 776-783 :

    The Hamiltonian Structure of the Bogoyavlensky Lattice

    Kazuhiro Hikami and Rei Inoue

11. Journal of the Physical Society of Japan 68 (1999) pp. 2234-2240 :

    Crystallization of the Bogoyavlensky Lattice

    Kazuhiro Hikami, Rei Inoue and Yasushi Komori

12. Journal of the Physical Society of Japan 72 (2003) pp. 973-975 :

    New Integrable Family in n-Dimensional Homogeneous Lotka–Volterra Systems with Abelian Lie Algebra

    Kenji Imai and Yoshihiro Hirata

13. Progress of Theoretical Physics Vol. 80 No. 5 (1988) pp. 749-751 :

    Integrals of a Lotka-Volterra System of Infinite Species

    Yoshiaki Itoh

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