Partial linearization for planar nonautonomous differential equations
DOI10.1016/j.jde.2014.11.007zbMath1316.34041OpenAlexW2079306378MaRDI QIDQ2254051
Peter De Maesschalck, Thai Son Doan, Patrick Bonckaert, Stefan Siegmund
Publication date: 4 February 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.11.007
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- General laws of the analytic linearization for random diffeomorphisms
- Normal form of Duffing-van der Pol oscillator under nonautonomous parametric perturbations
- A smoothness theorem for invariant fiber bundles
- Poincaré type theorems for non-autonomous systems
- Computation of nonautonomous invariant and inertial manifolds
- A characterization of exponential dichotomy in terms of topological equivalence
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Normal forms for nonautonomous differential equations
- \(C^m\)-smoothness of invariant fiber bundles
- Conjugacy of vector fields respecting additional properties.
- A generalization of Hartman's linearization theorem
- Well adapted normal linearization in singular perturbation problems
- Partially hyperbolic fixed points
- Combinatorics of partial derivatives
- REDUCIBILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS
- Normal forms for almost periodic differential systems
- A diagonal dominance criterion for exponential dichotomy
- A Multivariate Faa di Bruno Formula with Applications
- Partially hyperbolic fixed points with constraints
- Poincaré theorems for random dynamical systems
- Dichotomy spectrum for nonautonomous differential equations
This page was built for publication: Partial linearization for planar nonautonomous differential equations