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math.DS2026
Differentiable normal linearization of partially hyperbolic dynamical systems
Weijie Lu, Yonghui Xia, Weinian Zhang +1
A result on linearization which is differentiable at the hyperbolic fixed point is known. In this paper, we further investigate a partially hyperbolic diffeomorphism to f…
math.DS2025
Pugh's global linearization for the nonautonomous unbounded system with -dichotomy via Lyapunov theory
Weijie Lu, Yonghui Xia
The classical global linearization theorem for autonomous system given in [C. Pugh, Amer. J. Math., 91 (1969) 363-367] requires that nonlinear system with hyperbolicity satisfies b…