Unfolding homoclinic tangencies inside horseshoes: hyperbolicity, fractal dimensions and persistence of tangencies.
Cascades of period doubling bifurcations: a prerequisite for horseshoes.
Unfolding homoclinic tangencies inside horseshoes: hyperbolicity, fractal dimensions and persistent tangencies.
There are horseshoes in these examples on which the geodesic flow has strongly stochastic behavior.
A second aspect is whether the unstable manifold intersects the strong stable manifold of the saddle-node (as in the case of the saddle-node horseshoes).
As the section implies, there were complete horseshoes in tiers 1, 2 and 3; the fourth and fifth were interrupted by the galleries at the north end of the auditorium.
Are there (uniformly hyperbolic) horseshoes?
Global strange attractors after collision of horseshoes with periodic sinks.