Topological equivalence of nonhyperbolic nonautonomous systems

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Stability theory for smooth dynamical systems (37C75) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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The Hartman-Grobman theorem for semilinear hyperbolic evolution equations
Generalized exponential dichotomy and global linearization
On the linearization theorem for nonautonomous differential equations
Topological decoupling, linearization and perturbation on inhomogeneous time scales
A Hartman-Grobman theorem for scalar reaction-diffusion equations
Dichotomies in stability theory
Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems
On Hartman's linearization theorem and Palmer's linearization theorem
Linearization and Hölder continuity for nonautonomous systems
Admissibility and nonuniform exponential dichotomies
Linearization of a nonautonomous unbounded system with nonuniform contraction: a spectral approach
A generalization of Hartman's linearization theorem
Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy
A Sternberg theorem for nonautonomous differential equations
Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems
Stability of nonautonomous differential equations
Differentiability of Palmer's linearization theorem and converse result for density functions
Smooth linearization of nonautonomous coupled systems
\(\alpha\)-Hölder linearization of hyperbolic diffeomorphisms with resonance
Differentiability of the conjugacy in the Hartman-Grobman Theorem
Lower semicontinuity of attractors for non-autonomous dynamical systems
Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy
A Lemma in the Theory of Structural Stability of Differential Equations
A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria

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