Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity

Mengmeng Li; JinRong Wang; Donal O’Regan; Michal Fečkan

doi:10.5802/crmath.47

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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Stable Manifolds for Impulsive Equations Under Nonuniform Hyperbolicity

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-010-9161-6 ◽

2010 ◽

Vol 22 (4) ◽

pp. 761-785 ◽

Cited By ~ 9

Author(s):

Luis Barreira ◽

Claudia Valls

Keyword(s):

Nonuniform Hyperbolicity ◽

Stable Manifolds ◽

Impulsive Equations

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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 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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Stability analysis of set trajectories for families of impulsive equations

Applicable Analysis ◽

10.1080/00036811.2017.1403589 ◽

2017 ◽

Vol 98 (4) ◽

pp. 828-842 ◽

Cited By ~ 2

Author(s):

A. A. Martynyuk ◽

I. M. Stamova

Keyword(s):

Stability Analysis ◽

Impulsive Equations

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