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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 a.j.homburg@uva.nl
MEYSAM NASSIRI
Affiliation:
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), PO Box 19395-5746, Tehran, Iran email nassiri@ipm.ir
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Abstract

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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.

Information

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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