Lorenzo de Dominicis

Last question.. Looking at the blue lines in the attached plot, with the x-axis representing my parameter and the y-axis representing the coordinate, I found that the branch between LPC1 and LPC2 is unstable (Multiplier > 1). Is it possible that, starting from LPC2, I can't find an additional unstable branch directed towards the Hopf point because the stable branch that starts at LPC2 'attracts' the continuation?"

The simulation from the Hopf point (L=520) goes to LPC_1 (L=590), then proceeds to LPC_2 (L=490). If I further extend the simulation, the LC increases to L > 1200. I did not complete the simulation, so I don't know if it reaches another LPC, but from another numerical method that I tried, I should find a branch from LPC_2 to the Hopf point.

Thank you for the reply! Yes, I will use smaller step sizes in the final simulation. My goal for this one is to find the LPC points and their branches. - Extending the curve works too! It was midnight for me as well :) - I need to follow the branch beyond the turn at LPC = 490 down to H = 520. However, extending the simulation doesn't work.

Good morning, MatCont team, and thank you for the amazing work you have done. I'm pretty new to numerical continuation techniques, but I think my computation is mostly correct. I just need help with the last part of the bifurcation analysis. I have implemented a large nonlinear system of 50+ equations in the following form (i = 1...50): Qa_i' = Qb_i Qb_i' = f(Qa_i,Qb_i,L,coefficients) I can't report the entire system since it is close to 120 pages long. The coefficients magnitude range is from very...

Good morning, MatCont team, and thank you for the amazing work you have done. I'm pretty new to numerical continuation techniques, but I think my computation is mostly correct. I just need help with the last part of the bifurcation analysis. I have implemented a large nonlinear system of 50+ equations in the following form (i = 1...50): Qa_i' = Qb_i Qb_i' = f(Qa_i,Qb_i,L) I can't report the entire system since it is close to 120 pages long. The coefficient range is from very small (1e-15) to very...