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Robust minimality of iterated function systems with two generators

Published online by Cambridge University Press:  28 June 2013

ALE JAN HOMBURG  and
MEYSAM NASSIRI
ALE JAN HOMBURG
Affiliation:
KdV Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands Department of Mathematics, VU University Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands email [email protected]
MEYSAM NASSIRI
Affiliation:
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), PO Box 19395-5746, Tehran, Iran email [email protected]
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Abstract

We prove that every compact manifold without boundary admits a pair of diffeomorphisms that generates ${C}^{1} $ robustly minimal dynamics. We apply the results to the construction of blenders and robustly transitive skew product diffeomorphisms.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 6 , December 2014 , pp. 1914 - 1929
Copyright
© Cambridge University Press, 2013 

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