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Continuation limit point cycles from GH

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2024-03-15
2024-03-16
  • Sergey Novak

    Sergey Novak - 2024-03-15

    Hello, I am trying to continue the saddle-node bifurcation curve of limit cycles from the generalized Hopf bifurcation.
    When starting the curve calculation, matcont freezes for several minutes and does not respond in any way. Then completes the curve calculation. When I check the calculated curve, I see only 1-10 points there. I've tried changing the fun tolerance, the test tolerance, and the var tolerance. Increasing the tolerance to 1e-04 caused the matcont hang to disappear, and the calculation was completed almost instantly, still giving me 1-10 points on the curve. I tried to change the ntst and it didn't help. Please help me fix this

    Thank you for your help

     
    • hilmeijer

      hilmeijer - 2024-03-15

      Dear Sergey,

      In the starter window, there is an option "amplitude" default value 1e-6.
      This value says how close to the GH/Bautin point we have to start using the predictor.
      A good value is problem-dependent. You can think of increasing it to 1e-4 or 1e-2.

      Best regards, Hil


       
      • Sergey Novak

        Sergey Novak - 2024-03-16

        I was able to continue the bifurcation curve of the saddle node of the limit cycles with "amplitude" 1e-1
        Thank you so much for your help

         

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