On the determination of fractal objects in the dynamics of bioresources management models

A. Yu. Perevarukha


Abstract: This article is devoted to the development of computational methods for the study of the nonlinear effects in the dynamic systems modeling the processes of controlled biological systems. In a previous paper shows the practical problems of modeling biological resources associated with the phenomena that go beyond the interpretation of of the area you application. Observed experimentally, but do not have strict definitions of complex transients have an important impact and require special methods of analysis. We introduce a classification and a method for research in the computing environment of invariant sets in phase space of dynamical systems, modeling the reproduction of fish populations.

Keywords: nonlinear dynamics, mathematical ecology.

MSC: 37G35, 34A30, 92D25

Received: 07.06.2012