### Abstract

Several integrable systems of nonlinear ordinary differential equations of the Lotka-Volterra type are identified by the Painlevé property and completely integrated. One such integrable case of N first order ode's is found, with N - 2 free parameters and N arbitrary. The concept of integrability of a general dynamical system, not necessarily derived from a hamiltonian, is also discussed.

Original language | English |
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Pages (from-to) | 11-14 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 97 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Aug 8 1983 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*97*(1-2), 11-14. https://doi.org/10.1016/0375-9601(83)90088-9

**On the integrability of some generalized Lotka-Volterra systems.** / Bountis, Tassos C.; Bier, Martin; Hijmans, Jaap.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 97, no. 1-2, pp. 11-14. https://doi.org/10.1016/0375-9601(83)90088-9

}

TY - JOUR

T1 - On the integrability of some generalized Lotka-Volterra systems

AU - Bountis, Tassos C.

AU - Bier, Martin

AU - Hijmans, Jaap

PY - 1983/8/8

Y1 - 1983/8/8

N2 - Several integrable systems of nonlinear ordinary differential equations of the Lotka-Volterra type are identified by the Painlevé property and completely integrated. One such integrable case of N first order ode's is found, with N - 2 free parameters and N arbitrary. The concept of integrability of a general dynamical system, not necessarily derived from a hamiltonian, is also discussed.

AB - Several integrable systems of nonlinear ordinary differential equations of the Lotka-Volterra type are identified by the Painlevé property and completely integrated. One such integrable case of N first order ode's is found, with N - 2 free parameters and N arbitrary. The concept of integrability of a general dynamical system, not necessarily derived from a hamiltonian, is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=0344613016&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344613016&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(83)90088-9

DO - 10.1016/0375-9601(83)90088-9

M3 - Article

AN - SCOPUS:0344613016

VL - 97

SP - 11

EP - 14

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2

ER -