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.
ASJC Scopus subject areas
- Physics and Astronomy(all)