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April  2006, 14(2): i-ii. doi: 10.3934/dcds.2006.14.2i

Preface

Marian Gidea 1, and  Clark Robinson 2,

1. 

Department of Mathematics, Northeastern Illinois University, Chicago, IL 60625
2. 

Department of Mathematics, Northwestern University, Evanston IL 60208

Published  November 2005

This volume includes contributions of the invited participants to the special session on "Topological and Analytical Shadowing Techniques'', part of the AIMS' Fifth International Conference on Dynamical Systems and Differential Equations, Pomona, California, June 16 - 19, 2004. The volume also includes contributions of invited scientists who were unable to participate to the conference.
Shadowing techniques refer to methods for detection of true orbits closely following pseudo-orbits in dynamical systems. The first shadowing results were proved by Anosov (1967) and Bowen (1975), in the case of hyperbolic systems. Many systems of interest, however, are not hyperbolic. In such cases, one may employ topological or analytical methods to prove --- either rigorously or numerically --- the existence of orbits with prescribed itineraries.

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Citation: Marian Gidea, Clark Robinson. Preface. Discrete & Continuous Dynamical Systems, 2006, 14 (2) : i-ii. doi: 10.3934/dcds.2006.14.2i
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