When I look at the proof for Bendixson's criterion, I don't see why this doesn't also rule out the existence of homoclinic orbits in planar dynamical systems.
Is this true and does the proof work in the exact same way?
When I look at the proof for Bendixson's criterion, I don't see why this doesn't also rule out the existence of homoclinic orbits in planar dynamical systems.
Is this true and does the proof work in the exact same way?