One-Parameter Bifurcation Analysis of Dynamical Systems using Maple
DOI:
https://doi.org/10.55630/sjc.2010.4.43-56Keywords:
Parametric Dynamical Systems, Local Steady States Bifurcations, Andronov-Hopf Bifurcation, Maple PackageAbstract
This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities.