On the integrability of some generalized Lotka-Volterra systems

Tassos C. Bountis, Martin Bier, Jaap Hijmans

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 A
Issue number1-2
Publication statusPublished - Aug 8 1983

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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