Abstract
It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Indeed, these laminations, called Newhouse laminations, occur also in the holomorphic context. In the space of polynomials of C2, with bounded degree, there are Newhouse laminations.
| Original language | English |
|---|---|
| Article number | 2050091 |
| Journal | International Journal of Mathematics |
| Volume | 31 |
| Issue number | 11 |
| DOIs | |
| State | Published - Oct 1 2020 |
Keywords
- Dynamical systems
- Holomorphic dynamics
- Homoclinic tangency
- Newhouse laminations
- Newhouse phenomenon
- Several complex variables
Fingerprint
Dive into the research topics of 'Newhouse Laminations of polynomials on C2'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver