Random perturbations of codimension one homoclinic tangencies in dimension 3
| dc.creator | Araujo, Vitor | |
| dc.date | 2002-04-22 | |
| dc.date.accessioned | 2026-07-07T04:47:59Z | |
| dc.date.available | 2026-07-07T04:47:59Z | |
| dc.description | Adding small random parametric noise to an arc of diffeomophisms of a manifold of dimension 3, generically unfolding a codimension one quadratic homoclinic tangency q associated to a sectionally dissipative saddle fixed point p, we obtain not more than a finite number of physical probability measures, whose ergodic basins cover the orbits which are recurrent to a neighborhood of the tangency point $q$. This result is in contrast to the extension of Newhouse's phenomenon of coexistence of infinitely many sinks obtained by Palis and Viana in this setting. There is a similar result for the simpler bidimensional case whose proof relies on geometric arguments. We now extend the arguments to cover three dimensional manifolds. | |
| dc.description | 22 pages; 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0204266 | |
| dc.identifier | http://arxiv.org/abs/math/0204266 | |
| dc.identifier | Dynamical Systems, An International Journal, Vol. 18, No. 1 (2003), 35-55. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63879 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37XX | |
| dc.title | Random perturbations of codimension one homoclinic tangencies in dimension 3 | |
| dc.type | text |