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1
Introduction
2
Henonlike maps
3
Quadratic handle maps
4
Classical phenomenon
5
Milner and Berger
6
Benedict and Parmesano
7
Semiparabolic fixed points
8
Julias J
9
Critical Locus
10
Finding hyperbolic maps
11
Example
12
Bifurcations
13
Critical points
14
The Julia set
15
The Julia asset
16
Tangencies
Description:
Explore complex dynamics in the tropics through this one-hour conference talk by R. Tanase on partial hyperbolicity in the Hénon family. Delve into topics such as Henon-like maps, quadratic handle maps, classical phenomena, and semiparabolic fixed points. Examine the Julia set, critical locus, and bifurcations while learning about finding hyperbolic maps and tangencies. Gain insights from this presentation, part of an international congress at IMPA celebrating Carsten Lunde Petersen's 60th birthday, featuring prominent researchers discussing the state of the art in the field.

Complex Dynamics in the Tropics - Partial Hyperbolicity in the Hénon Family

Instituto de Matemática Pura e Aplicada
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