Analyzer of a nonlinear autonomous dynamical system on the plane by Hartman-Grobman theorem

Published on https://computationalmindset.com/en/ a new post titled “Analyzer of a nonlinear autonomous dynamical system on the plane by Hartman-Grobman theorem”.

The post illustrates the usage of a program written in Python to analyze the linearization behavior of a nonlinear dynamical system around hyperbolic critical points by applying the Hartman-Grobman theorem.

Here is the link to the page: https://computationalmindset.com/en/mathematics/analyzer-of-a-nonlinear-autonomous-dynamical-system-on-plane-by-hartman-grobman-theorem.html

The phase portrait generated by the program applied to Holling-Tanner (with N=0.5) prey-predator model.

The phase portrait generated by the program applied to Holling-Tanner (with N=2.5) prey-predator model.

The phase portrait generated by the program applied to Lotka-Volterra prey-predator model.