Conjugacies for impulsive equations

DOI10.1017/S0013091510000799zbMath1255.34048OpenAlexW1994800618MaRDI QIDQ3116819

Claudia Valls, Luis Barreira

Publication date: 12 February 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091510000799

zbMATH Keywords

impulsive equationstopological conjugaciesGrobman-Hartman theorem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Cites Work

• The structurally stable linear systems on the half-line are those with exponential dichotomies
• Topological equivalence and exponential dichotomy of linear impulsive equations
• Topological classification of impulsive differential equations
• A geometric characterization of smooth linearizability
• A generalization of Hartman's linearization theorem
• Conjugacies for linear and nonlinear perturbations of nonuniform behavior
• On a theorem of Anosov
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Smooth Linearization Near a Fixed Point
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• On a Theorem of P. Hartman