BifTools is a package for symbolic and numeric bifurcation analysis of equilibrium points in dynamical systems. The package consists of five main procedures:
- BifTools[calcOneZeroEigenvalueBifPoints] calculates the bifurcation points of an ODE system with a single zero eigenvalue of the Jacobian;
- BifTools [calcOneZeroEigenvalueBif] calculates the normal form of the steady states bifurcations with a single zero eigenvalue of the Jacobian;
- BifTools [calcHopfBifPoints] calculates the Andronov-Hopf bifurcation points of an ODE system, using the method of resultants;
- BifTools [calcHopfBif] calculates the normal form of the Andronov-Hopf bifurcation of the equilibrium points;
- BifTools [calcBTBif] calculates the normal form of the Bogdanov-Takens (double zero) bifurcation, using the projection or the direct method for center manifold reduction.