Abstract
For any manifold of dimension at least three, we give a simple construction of a hyperbolic invariant set that exhibits C1-persistent homoclinic tangency. It provides an open subset of the space of C 1 -diffeomorphisms in which generic diffeomorphisms have arbitrary given growth of the number of attracting periodic orbits and admit no symbolic extensions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have