I'm trying to find a CPC bifurcation in a region of the parameter space that I know exists. The system I am studying is the Duffing equation with damping and forced externally. The system equation is in the 'System' image.
I identified a limit cycle with a period between 30 and 40, the initial conditions for obtaining the limit cycle are: (x, y, u, v) = (0,0,1,0). And proceeded from it, this continuation (initializer init_LC_LC) generated the blue curve in the image, where LPC and PD bifurcations were identified. The continuation of two parameters from the PD point generated the curves in black and LPC the curves in red. I should have a CPC bifurcation in that curve generated from the LPC point (curve in red), but I'm not able to identify it.
I have already varied several parameters that are related to the method:
InitStepsize = 0.001
MaxStepsize = 0.01
MaxTestIters = 100
ntst = 500
I would like some help, please, to understand why I can't identify the CPC. And also why ntst, in this case, sometimes doesn’t work for values less than 500. Thanks
I'm sorry if there is something wrong with my English. I'm working on it.
I'm trying to find a CPC bifurcation in a region of the parameter space that I know exists. The system I am studying is the Duffing equation with damping and forced externally. The system equation is in the 'System' image.
I identified a limit cycle with a period between 30 and 40, the initial conditions for obtaining the limit cycle are: (x, y, u, v) = (0,0,1,0). And proceeded from it, this continuation (initializer init_LC_LC) generated the blue curve in the image, where LPC and PD bifurcations were identified. The continuation of two parameters from the PD point generated the curves in black and LPC the curves in red. I should have a CPC bifurcation in that curve generated from the LPC point (curve in red), but I'm not able to identify it.
I have already varied several parameters that are related to the method:
InitStepsize = 0.001
MaxStepsize = 0.01
MaxTestIters = 100
ntst = 500
I would like some help, please, to understand why I can't identify the CPC. And also why ntst, in this case, sometimes doesn’t work for values less than 500. Thanks
I'm sorry if there is something wrong with my English. I'm working on it.