BifTools - Package for Bifurcation Analysis in Dynamical Systems - Maple Application Center
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BifTools - Package for Bifurcation Analysis in Dynamical Systems

Authors
: Milen Borisov
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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.

Application Details

Publish Date: December 23, 2011
Created In: Maple 13
Language: English

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