Homoclinic classes for sectional-hyperbolic sets

Abstract

We prove that every sectional-hyperbolic Lyapunov stable set contains a nontrivial homoclinic class.

5 pages

References in corpus (2)

• Pesin Entropy Formula for C1 Diffeomorphisms with Dominated Splitting
• Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

Cited by in corpus (1)

• On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets