Amplitude at Hopf Bifurcation Using MatCont

  • Adebayour

    Adebayour - 2011-08-03

    I am using matcont to find limit cycle in a nonlinear system for my MSc project. Please, I want to know how to determine the amplitude of oscillation at Hopf bifurcation (which is the door to limit cycle). I will appreciate your timely contributions as this will help me to meet the deadline for my project.

  • Govaerts

    Govaerts - 2011-08-04

    Dear colleague,

    There is no real rule for this. The reason is  that this is a scaling-related problem. The software contains a default value; if this does not work then you try simply by multiplying this value with e.g. 10,10^(-1),10^2,10^(-2) etc.

    Best regards and  good luck,

    Willy Govaerts

  • Adebayour

    Adebayour - 2011-08-05

    Dear Willy,
    Are you saying that I should do the time simulation of the model using the value of the parameter at the bifurcation point?. Please elucidate.


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