A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy
From MaRDI portal
Publication:2964211
DOI10.1080/10236198.2016.1192161zbMath1361.39001arXiv1501.00147OpenAlexW2963172747MaRDI QIDQ2964211
Álvaro Castañeda, Gonzalo Robledo
Publication date: 23 February 2017
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.00147
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)
Related Items
Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems ⋮ Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Remarks on generalized stability for difference equations in Banach spaces ⋮ Characterizations of generalized exponential trichotomies for linear discrete-time systems ⋮ Boundness and linearisation of a class of differential equations with piecewise constant argument ⋮ New results on linearization of differential equations with piecewise constant argument
Cites Work
- Unnamed Item
- Nonlinear perturbations of nonuniform exponential dichotomy on measure chains
- Generalized exponential dichotomy and global linearization
- Strongly topological linearization with generalized exponential dichotomy
- On the linearization theorem for nonautonomous differential equations
- Topological equivalence and structural stability for linear difference equations
- Discrete dichotomies
- On Hartman's linearization theorem and Palmer's linearization theorem
- On the linearization theorem of Fenner and Pinto
- 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
- Dichotomies for linear difference equations
- Conditional stability and separation of solutions to differential equations
- On a Hartman linearization theorem for a class of ODE with impulse effect