# American Institute of Mathematical Sciences

December  2006, 16(4): 843-856. doi: 10.3934/dcds.2006.16.843

## Fixed point indices of iterations of $C^1$ maps in $R^3$

 1 Department of Algebra, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, ul. Narutowicza 11/12, 80-952 Gdansk, Poland, Poland

Received  October 2005 Revised  August 2006 Published  September 2006

In the case of a $C^1$ self-map of $R^3$ we prove the Chow, Mallet-Paret and Yorke conjecture on the form of sequences of local fixed point indices of iterations and give a complete description of possible sequences of indices.
Citation: Grzegorz Graff, Piotr Nowak-Przygodzki. Fixed point indices of iterations of $C^1$ maps in $R^3$. Discrete & Continuous Dynamical Systems, 2006, 16 (4) : 843-856. doi: 10.3934/dcds.2006.16.843
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