scholarly journals Foliations and polynomial diffeomorphisms of $${\mathbb{R}^{3}}$$

2008 ◽  
Vol 262 (3) ◽  
pp. 613-626 ◽  
Author(s):  
Carlos Gutierrez ◽  
Carlos Maquera
Keyword(s):  
Polynomial Diffeomorphisms

scholarly journals One-dimensional and two-dimensional dynamics of cubic maps

2006 ◽  
Vol 2006 ◽  
pp. 1-13 ◽  
Author(s):  
Djellit Ilhem ◽  
Kara Amel
Keyword(s):  
Large Class ◽  
System Parameter ◽  
Two Dimensional ◽  
One Dimensional ◽  
Henon Maps ◽  
Hénon Maps ◽  
Starting Point ◽  
Good Starting Point ◽  
Polynomial Diffeomorphisms

We concentrate on the dynamics of one-dimensional and two-dimensional cubic maps, it describes how complex behaviors can possibly arise as a system parameter changes. This is a large class of diffeomorphisms which provide a good starting point for understanding polynomial diffeomorphisms with constant Jacobian and equivalent to a composition of generalized Hénon maps. Due to the theoretical and practical difficulties involved in the study, computers will presumably play a role in such efforts.

scholarly journals Polynomial diffeomorphisms of C 2. VIII: quasi-expansion

2002 ◽  
Vol 124 (2) ◽  
pp. 221-271 ◽  
Author(s):  
Eric Bedford ◽  
John Smillie
Keyword(s):  
Polynomial Diffeomorphisms

scholarly journals The entropy of polynomial diffeomorphisms of C2

1990 ◽  
Vol 10 (4) ◽  
pp. 823-827 ◽  
Author(s):  
John Smillie
Keyword(s):  
Topological Entropy ◽  
Polynomial Diffeomorphisms

In this note we answer a question raised by Friedland and Milnor in [FM] concerning the topological entropy of polynomial diffeomorphisms of C2.

Sign in / Sign up

Export Citation Format

Share Document