2007, 1(4): 615-648. doi: 10.3934/jmd.2007.1.615

Critical points for surface diffeomorphisms

1. 

IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil

2. 

IMERL-Facultad de Ingeniería, Universidad de la República, ulio Herrera y Reissig 565, CC 30, 11300 Montevideo, Uruguay

Received  February 2007 Revised  August 2007 Published  July 2007

Using the definition of dominated splitting, we introduce the notion of critical set for any dissipative surface diffeomorphism as an intrinsically well-defined object. We obtain a series of results related to this concept.
Citation: Enrique R. Pujals, Federico Rodriguez Hertz. Critical points for surface diffeomorphisms. Journal of Modern Dynamics, 2007, 1 (4) : 615-648. doi: 10.3934/jmd.2007.1.615
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