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Certain new robust properties of invariant sets and attractors of dynamical systems

A. S. Gorodetski, Yu. S. Ilyashenko

1999
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Functional analysis and its applications
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TSrSk, *and* A. Wilkinson for fruitful discussions, *and* H. Ilyashenko for her help in the preparation *of* the manuscript. ...
Tlm authors are grateful to CIMAT *and* UNAM, Mexico, where the work was initiated, *and* to Cornell University, USA, where it was finally written, for their hospitality *and* creative atmosphere. ...
Let S: D --* D ~ be a mapping such that StD~ : Di ~ D~ is the restriction to Di *of* a linear *hyperbolic* map with the constants *of* contrhction *and* *expansion* equal to k E (0, 1) *and* k -1 > 1, respectively ...

doi:10.1007/bf02465190
fatcat:pzrb6g2tgfh4hllcanj55wcz2q