Automatic analysis of one-parameter planar ordinary differential equations by intelligent numeric simulation
A program called Poincare is given, which analyzes one-parameter autonomous systems of two differential equations. The program partitions the parameter interval into open subintervals of equivalent behaviour. It detects local and global generic one-parameter bifurcations and constructs the phase diagrams by identifying fixed points, saddle manifolds, limit cycles and partitioning the remaining trajectories into open regions of uniform asymptotic behaviour.
scientific article; zbMATH DE number 4176373
scientific article