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February  2008, 22(1&2): 89-100. doi: 10.3934/dcds.2008.22.89

Dynamical coherence and center bunching

Keith Burns 1, and  Amie Wilkinson 2,

1. 

Department of Mathematics, Northwestern University, Evanston, IL 60208-2730
2. 

Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730

Received  July 2007 Revised  January 2008 Published  June 2008

This paper discusses relationships among the basic notions that have been important in recent investigations of the ergodicity of volume-preserving partially hyperbolic diffeomorphisms. In particular we survey the possible definitions of dynamical coherence and discuss the relationship between dynamical coherence and center bunching.
Keywords: partial hyperbolicity, stable ergodicity., dynamical coherence, center bunching.
Mathematics Subject Classification: Primary: 37D3.
Citation: Keith Burns, Amie Wilkinson. Dynamical coherence and center bunching. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 89-100. doi: 10.3934/dcds.2008.22.89
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