Center manifolds for impulsive equations under nonuniform hyperbolicity

DOI10.1016/j.na.2010.10.032zbMath1215.34049OpenAlexW2042221150MaRDI QIDQ629274

Luis Barreira, Claudia Valls

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.032

zbMATH Keywords

impulsive equationsnonuniform exponential dichotomiescentral manifolds

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Robustness for linear evolution equations with non-instantaneous impulsive effects, Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity, Smooth centre manifolds for impulsive delay differential equations

Cites Work

• Geometric theory of semilinear parabolic equations
• Smooth center manifolds for nonuniformly partially hyperbolic trajectories
• Stability of nonautonomous differential equations
• On sequences of 𝐶^{𝑘,𝛿}_{𝑏} maps which converge in the uniform 𝐶⁰-norm
• Unnamed Item
• Unnamed Item