Introduction to Heteroclinic Bifurcation
Let's dive into the details surrounding Heteroclinic Bifurcation. In this lecture, we uncover the surprising role of homoclinic orbits—trajectories that leave a fixed point only to return to it both ...
Heteroclinic Bifurcation Comprehensive Overview
The dynamics at the parameter values where a periodic orbit is destroyed in a Animation. Video S8: UNI to RPO_U4 to RPO_4c to Chaotic Attractor (CA) A connecting orbit in infinite dimensional phase space of 2D Active ...
Ideal Pendulum - Inside Heteroclinic Trajectory
Summary & Highlights for Heteroclinic Bifurcation
- "Superheteroclinic orbits,
- And that is called the
- Heteroclinic connection between equilibria (01)
- One of the ways that limit cycles are born or die is in the context of a special (new!) type of
- The connection originates at an equilibrium with a 2D unstable manifold. A set of trajectories on this 2D surface evolve, only to ...
That wraps up our extensive overview of Heteroclinic Bifurcation.