A global topological conjugacy is established between a nonlinearly perturbed nonautonomous system and its linear part, assuming a nonuniform μ-dichotomy and a small, time-decaying Lipschitz perturbation.
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Pugh's global linearization for the nonautonomous unbounded system with $\mu$-dichotomy via Lyapunov theory
A global topological conjugacy is established between a nonlinearly perturbed nonautonomous system and its linear part, assuming a nonuniform μ-dichotomy and a small, time-decaying Lipschitz perturbation.