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Category: Software for continuation / Software for delay equations

DDE-BIFTOOL

DDE-BIFTOOL is a Matlab package for numerical bifurcation analysis of delay differential equations with several fixed discrete delays. It allows the computation, continuation and stability analysis of steady state solutions, their Hopf and fold bifurcations and periodic solutions.

See DDE-BIFTOOL's homepage for more details.

Contact person for DDE-BIFTOOL is Koen Engelborghs (Koen.Engelborghs@cs.kuleuven.ac.be).

References

• K. Engelborghs (2000)
  "DDE-BIFTOOL: a Matlab package for bifurcation analysis of delay differential equations"
  Technical Report TW-305, Department of Computer Science, K.U.Leuven, Leuven, Belgium.
  
• K. Engelborghs, D. Roose (1999)
  "Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations"
  Advances in Computational Mathematics 10(3-4):271-289.
  
• K. Engelborghs, T. Luzyanina, K.J. in 't Hout, D. Roose (2000)
  "Collocation methods for the computation of periodic solutions of delay differential equations"
  SIAM J. Scientific Computing 22(5):1593-1609.