On the integrability of some generalized Lotka-Volterra systems

Tassos C. Bountis, Martin Bier, Jaap Hijmans

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish
Pages (from-to)11-14
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume97
Issue number1-2
DOIs
Publication statusPublished - Aug 8 1983
Externally publishedYes

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dynamical systems
differential equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 97, No. 1-2, 08.08.1983, p. 11-14.

Research output: Contribution to journalArticle

Bountis, Tassos C. ; Bier, Martin ; Hijmans, Jaap. / On the integrability of some generalized Lotka-Volterra systems. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 1983 ; Vol. 97, No. 1-2. pp. 11-14.
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