Dynamics forced by surface trellises
| dc.creator | Collins, Pieter | |
| dc.date | 1999-07-13 | |
| dc.date.accessioned | 2026-07-07T05:29:54Z | |
| dc.date.available | 2026-07-07T05:29:54Z | |
| dc.description | Given a saddle fixed point of a surface diffeomorphism, its stable and unstable curves $W^S$ and $W^U$ often form a homoclinic tangle. Given such a tangle, we use topological methods to find periodic points of the diffeomorphism, using only a subset of the tangle with finitely many points of intersection, which we call a trellis. We typically obtain exponential growth of periodic orbits, symbolic dynamics and a strictly positive lower bound for topological entropy. For a simple example occurring in the Henon family, we show that the topological entropy is at least 0.527. | |
| dc.description | 22 pages, 15 figures. Confeerence proceedings: Topology in Dynamics, Wake Forest University, Winston-Salem, 1998 | |
| dc.identifier | https://arxiv.org/abs/math/9907086 | |
| dc.identifier | http://arxiv.org/abs/math/9907086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78820 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 58F15 | |
| dc.title | Dynamics forced by surface trellises | |
| dc.type | text |