On the non-robustness of intermingled basins
2016 ◽
Vol 38
(1)
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pp. 384-400
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Keyword(s):
It is well known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus in a similar way to Kan’s example. It has two hyperbolic physical measures with intermingled basins supported on two embedded tori with Anosov dynamics. A natural question is how robust is the intermingled basin phenomenon for diffeomorphisms defined on boundaryless manifolds? In this work we study partially hyperbolic diffeomorphisms on the 3-torus and show that the intermingled basin phenomenon is not robust.
2014 ◽
Vol 35
(2)
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pp. 412-430
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2017 ◽
Vol 38
(8)
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pp. 2838-2859
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2014 ◽
Vol 36
(1)
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pp. 256-275
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2011 ◽
Vol 54
(4)
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pp. 676-679
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