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Bifurcation analysis of delay differential equations(DDEs) by PyDSTool

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2016-11-18
2016-11-20
  • A Ziaeemehr

    A Ziaeemehr - 2016-11-18

    I need a tool for numerical bifurcation analysis of differential equations with constant delays(DDEs) in Python. I think PyDSTool is just for ODEs and uses PyCont for bifurcation analysis, but cant handle DDEs. We can also use Pydelay to simulate DDEs. So we have nothing like BIF-TOOL in Matlab for DDEs, do we?

    Thanks for any guide or comment.

     
  • Rob Clewley

    Rob Clewley - 2016-11-20

    You are correct, unfortunately. I am out of touch with recent developments techniques for DDEs, but they get complex pretty quickly unless you have certain kinds of strong constraints / special cases. E.g. if the variables only interact via dirac delta pulses (like an integrate-and-fire type model).

     

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