Swastika

Hi Hil, I extended BT point in an effort to find the homoclinic curve. A small Hom curve was plotted when the value of adapt was 3.I verified that Matlab creates a homoclinic loop. I was unable to extend the Hom curve, though. It said that the "Current step size too small" prevented me from extending it. As a result, when I set adapt to 0, a homoclinic loop was produced, though it differed from the previous hom curve. I verified that it doesn't produce a homoclinic loop using the phase portrait diagram....

Thank you so much for the response!!

Hello, I ran into a circumstance where an unstable node equilibrium point and saddle point equilibrium collided as the parameter increased when doing numerical analysis of a 2-D model on Matcont. Saddle node bifurcation (LP) is what Matcont indicates. How so? Isn't LP bifurcation, stable equilibrium point and saddle point equilibrium collision. Does saddle node bifurcation means collision or birth of equilibria where one is saddle point and other is node(unstable or stable)?

I ran into a circumstance where an unstable node equilibrium point and saddle point equilibrium collided as the parameter increased when doing numerical analysis of a 2-D model on Matcont. Saddle node bifurcation (LP) is what Matcont indicates. How so? Isn't LP bifurcation, stable equilibrium point and saddle point equilibrium collision. Does saddle node bifurcation means collision or birth of equilibria where one is saddle point and other is node(unstable or stable)?