Article contents
Postcritical sets and saddle basic sets for Axiom A polynomial skew products on
$\mathbb {C}^2$
Published online by Cambridge University Press: 16 May 2012
Abstract
We investigate the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on $\mathbb {C}^2$, and characterize various properties concerning the three kinds of accumulation sets defined by DeMarco and Hruska [Axiom A polynomial skew products of
$\mathbb {C}^2$ and their postcritical sets. Ergod. Th. & Dynam. Sys.28(2008), 1749–1779] in terms of the saddle basic sets. We also give a new example of higher degree.
- Type
- Research Article
- Information
- Copyright
- Copyright © 2012 Cambridge University Press
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:98303:20160413041131956-0511:S0143385712000193_inline5.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:24197:20160413041131956-0511:S0143385712000193_inline6.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:30855:20160413041131956-0511:S0143385712000193_inline7.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:26591:20160413041131956-0511:S0143385712000193_inline8.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:5795:20160413041131956-0511:S0143385712000193_inline9.gif?pub-status=live)
- 1
- Cited by