3 papers
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.CA2025
Stable invariant manifold for generalized ODEs with applications to measure differential equations
Weijie Lu, Paolo Piccione, Yonghui Xia
This paper establishes the stable invariant manifold for a new kind of differential equations defined by Kurzweil integral, so-called {\em generalized ODEs} on a Banach space. The…
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…