scholarly journals Stable manifolds of holomorphic diffeomorphisms

2002 ◽  
Vol 149 (2) ◽  
pp. 409-430 ◽  
Author(s):  
Mattias Jonsson ◽  
Dror Varolin
Keyword(s):  
Stable Manifolds

scholarly journals Center-stable manifolds for differential equations with state-dependent delays

2009 ◽  
Vol 23 (3) ◽  
pp. 1009-1033 ◽  
Author(s):  
Redouane Qesmi ◽  
◽  
Hans-Otto Walther ◽  
Keyword(s):  
Differential Equations ◽  
Stable Manifolds ◽  
State Dependent

Smoothness of stable holonomies inside center-stable manifolds

2021 ◽  
pp. 1-26
Author(s):  
AARON BROWN
Keyword(s):  
Compact Manifolds ◽  
Stable Manifolds ◽  
Entropy Formula ◽  
Partially Hyperbolic

Abstract Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for $C^{1+\beta }$ diffeomorphisms are uniformly bi-Lipschitz and, in fact, $C^{1+\mathrm {H\ddot{o}lder}}$ . This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic $C^{1+\beta }$ diffeomorphisms and verifies that the Ledrappier–Young entropy formula holds for $C^{1+\beta }$ diffeomorphisms of compact manifolds.

Stable Manifolds and Crises

1997 ◽  
pp. 399-445 ◽  
Author(s):  
Kathleen T. Alligood ◽  
Tim D. Sauer ◽  
James A. Yorke
Keyword(s):  
Stable Manifolds
Sign in / Sign up

Export Citation Format

Share Document