Regularity of center manifolds under nonuniform hyperbolicity

Luis Barreira;  ; Claudia Valls;

doi:10.3934/dcds.2011.30.55

Regularity of center manifolds under nonuniform hyperbolicity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2011.30.55 ◽

2011 ◽

Vol 30 (1) ◽

pp. 55-76 ◽

Cited By ~ 1

Author(s):

Luis Barreira ◽

◽

Claudia Valls ◽

Keyword(s):

Center Manifolds ◽

Nonuniform Hyperbolicity

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Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity

Comptes Rendus. Mathématique ◽

10.5802/crmath.47 ◽

2020 ◽

Vol 358 (3) ◽

pp. 341-364

Author(s):

Mengmeng Li ◽

JinRong Wang ◽

Donal O’Regan ◽

Michal Fečkan

Keyword(s):

Center Manifolds ◽

Nonuniform Hyperbolicity ◽

Impulsive Equations

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Center manifolds for impulsive equations under nonuniform hyperbolicity

Nonlinear Analysis ◽

10.1016/j.na.2010.10.032 ◽

2011 ◽

Vol 74 (5) ◽

pp. 1616-1627 ◽

Cited By ~ 2

Author(s):

Luis Barreira ◽

Claudia Valls

Keyword(s):

Center Manifolds ◽

Nonuniform Hyperbolicity ◽

Impulsive Equations

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Center manifolds under nonuniform hyperbolicity – maximal regularity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.03.003 ◽

2011 ◽

Vol 380 (1) ◽

pp. 33-45 ◽

Cited By ~ 1

Author(s):

Luis Barreira ◽

Claudia Valls

Keyword(s):

Maximal Regularity ◽

Center Manifolds ◽

Nonuniform Hyperbolicity

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Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(81)90022-1 ◽

1981 ◽

Vol 2 (3) ◽

pp. 449-481 ◽

Cited By ~ 43

Author(s):

Philip J. Holmes

Keyword(s):

Vector Fields ◽

Normal Forms ◽

Center Manifolds ◽

Steady Motions

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Center manifolds for nonuniformly partially hyperbolic diffeomorphisms

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2005.07.005 ◽

2005 ◽

Vol 84 (12) ◽

pp. 1693-1715 ◽

Cited By ~ 10

Author(s):

Luis Barreira ◽

Claudia Valls

Keyword(s):

Center Manifolds ◽

Hyperbolic Diffeomorphisms ◽

Partially Hyperbolic ◽

Partially Hyperbolic Diffeomorphisms

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The $C^1$ density of nonuniform hyperbolicity in $C^{r}$ conservative diffeomorphisms

Proceedings of the American Mathematical Society ◽

10.1090/proc/13527 ◽

2016 ◽

Vol 145 (4) ◽

pp. 1539-1552

Author(s):

Chao Liang ◽

Yun Yang

Keyword(s):

Nonuniform Hyperbolicity

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Center Manifolds

Mathematics of Complexity and Dynamical Systems ◽

10.1007/978-1-4614-1806-1_5 ◽

2012 ◽

pp. 48-62 ◽

Cited By ~ 1

Author(s):

George Osipenko

Keyword(s):

Center Manifolds

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Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.01.030 ◽

2006 ◽

Vol 181 (1) ◽

pp. 220-246 ◽

Cited By ~ 8

Author(s):

R. Qesmi ◽

M. Ait Babram ◽

M.L. Hbid

Keyword(s):

Differential Equations ◽

Normal Forms ◽

Functional Differential Equations ◽

Center Manifolds ◽

Retarded Functional Differential Equations ◽

Functional Differential

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Normal hyperbolicity of center manifolds and Saint-Venant's principle

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00393272 ◽

1990 ◽

Vol 110 (4) ◽

pp. 353-372 ◽

Cited By ~ 40

Author(s):

Alexander Mielke

Keyword(s):

Center Manifolds ◽

Normal Hyperbolicity

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Nonuniform Hyperbolicity and Admissibility

Advanced Nonlinear Studies ◽

10.1515/ans-2014-0315 ◽

2014 ◽

Vol 14 (3) ◽

Cited By ~ 12

Author(s):

Luis Barreira ◽

Claudia Valls ◽

Davor Dragičevič

Keyword(s):

Exponential Dichotomy ◽

Linear Operators ◽

Nonuniform Hyperbolicity

AbstractFor a nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility in pairs of spaces (ℓ

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