Robustly non-hyperbolic transitive endomorphisms on

Authors:
Baolin He and Shaobo Gan

Journal:
Proc. Amer. Math. Soc. **141** (2013), 2453-2465

MSC (2010):
Primary 37D30

DOI:
https://doi.org/10.1090/S0002-9939-2013-11527-3

Published electronically:
April 5, 2013

MathSciNet review:
3043026

Full-text PDF

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Abstract: We prove that for any regular endomorphism on a 2-torus which is not one to one, there is a regular map homotopic to such that is robustly non-hyperbolic transitive. We also introduce interesting blender phenomena (a fat horseshoe) of 2-dimensional endomorphisms, which play an important role in our construction of some examples.

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Additional Information

**Baolin He**

Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China

Email:
hebaolin@pku.edu.cn

**Shaobo Gan**

Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China

Email:
gansb@math.pku.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-2013-11527-3

Received by editor(s):
August 25, 2011

Received by editor(s) in revised form:
October 23, 2011

Published electronically:
April 5, 2013

Additional Notes:
This work is supported by 973 program 2011CB808002 and NSFC 11025101

Communicated by:
Yingfei Yi

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.