On the behaviour of solutions to discrete time Lotka-Volterra equation

Details On the behaviour of solutions to discrete time Lotka-Volterra equation On the behaviour of solutions to discrete time Lotka-Volterra equation

2000-05-27

arxiv.org/abs/nlin/0005059v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages, 2 figures

Scientific paper

The time evolution of a class of completely integrable discrete
Lotka-Volterra s ystem is shown not unique but have two different ways chosen
randomly at every s tep of generation. This uncertainty is consistent with the
existence of constant s of motion and disappears in both continuous time and
ultra discrete limits.

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