On the linearization theorem for nonautonomous differential equations
From MaRDI portal
Publication:888463
DOI10.1016/j.bulsci.2014.12.005zbMath1331.34065OpenAlexW2054935363MaRDI QIDQ888463
Publication date: 30 October 2015
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2014.12.005
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)
Related Items (8)
Does nonuniform behavior destroy the structural stability? ⋮ Koopman Operator Family Spectrum for Nonautonomous Systems ⋮ Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy ⋮ Smooth linearization of nonautonomous coupled systems ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ Smoothness of topological equivalence on the half line for nonautonomous systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonautonomous impulsive systems with unbounded nonlinear terms
- Robustness of nonuniform behavior for discrete dynamics
- Generalized exponential dichotomy and global linearization
- A new analytical method for the linearization of dynamic equation on measure chains
- A Hartman-Grobman theorem for scalar reaction-diffusion equations
- Dichotomies in stability theory
- The Fredholm alternative and exponential dichotomies for parabolic equation
- On the linearization theorem of Fenner and Pinto
- Lyapunov functions for general nonuniform dichotomies
- On the topological classification of dynamic equations on time scales
- A generalization of Hartman's linearization theorem
- A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics
- On a Hartman linearization theorem for a class of ODE with impulse effect
- On a Theorem of P. Hartman
- On the Local Linearization of Differential Equations
This page was built for publication: On the linearization theorem for nonautonomous differential equations