Multiscale linearization of nonautonomous systems

DOI10.1017/PRM.2022.63zbMath1527.34066arXiv2203.03694OpenAlexW4296826972MaRDI QIDQ6052821

Lucas H. Backes, Davor Dragičević

Publication date: 25 September 2023

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03694

zbMATH Keywords

linearizationmultiscalenonautonomous dynamics

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Discrete version of topics in analysis (39A12) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized exponential dichotomy and global linearization
• Hartman's linearization on nonautonomous unbounded system
• Dichotomies in stability theory
• Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems
• Linearization and Hölder continuity for nonautonomous systems
• A generalized Grobman-Hartman theorem for nonautonomous dynamics
• A generalization of Hartman's linearization theorem
• Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy
• A Sternberg theorem for nonautonomous differential equations
• Differentiability of Palmer's linearization theorem and converse result for density functions
• Quasi-shadowing for partially hyperbolic dynamics on Banach spaces
• Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line
• Smooth linearization of nonautonomous coupled systems
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Global smooth linearization of nonautonomous contractions on Banach spaces
• Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy
• A Lemma in the Theory of Structural Stability of Differential Equations
• Topological simplification of nonautonomous difference equations
• On a Theorem of P. Hartman
• On the Local Linearization of Differential Equations
• Nonuniform contractions and converse stability results via a smooth topological equivalence

This page was built for publication: Multiscale linearization of nonautonomous systems