Kneading Theory for Triangular Maps
| dc.creator | Mendes, Diana A. | |
| dc.creator | Ramos, J. Sousa | |
| dc.date | 2003-01-07 | |
| dc.date | 2003-02-28 | |
| dc.date.accessioned | 2026-07-07T04:54:18Z | |
| dc.date.available | 2026-07-07T04:54:18Z | |
| dc.description | The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computation of the topological entropy of two-dimensional triangular maps. The connection between kneading theory and subshifts of finite type is shown by using a commutative diagram derived from the homological configurations associated to $m-$modal maps of the interval. | |
| dc.description | 22 pages,6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0301054 | |
| dc.identifier | http://arxiv.org/abs/math/0301054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66197 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B10; 37B40; 37E30, 15A69 | |
| dc.title | Kneading Theory for Triangular Maps | |
| dc.type | text |