29 citations · 34 across the 9 of their papers we have counts for
9 papers
Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
Lucas Backes, Davor Dragicevic, Wenmeng Zhang
The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linea…
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…
Takens Theorem for nonautonomous partially hyperbolic dynamical systems
Davor Dragičević, Xiao Tang, Wenmeng Zhang
Takens Theorem for a partially hyperbolic dynamics provides a normal linearization along the center manifold. In this paper, we give the nonautonomous version of Takens Theorem und…
Smooth invariant foliations without a bunching condition and Belitskii's linearization for random dynamical systems
Wenmeng Zhang, Kening Lu, Weinian Zhang
Smooth linearization is one of the central themes in the study of dynamical systems. The classical Belitskii's linearization theorem has been widely used in the investigation…
Smooth linearization of nonautonomous dynamics under polynomial behaviour
Lucas Backes, Davor Dragicevic, Wenmeng Zhang
The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linea…
Smooth Linearization of Nonautonomous Differential Equations with a Nonuniform Dichotomy
Davor Dragicevic, Weinian Zhang, Wenmeng Zhang
In this paper we give a smooth linearization theorem for nonautonomous differential equations with a nonuniform strong exponential dichotomy. In terms of discretized evolution oper…
Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy
Davor Dragicevic, Weinian Zhang, Wenmeng Zhang
In this paper we give a smooth linearization theorem for nonautonomous difference equations with a nonuniform strong exponential dichotomy. The linear part of such a nonautonomous…
Sharpness for linearization of planar hyperbolic diffeomorphisms
Wenmeng Zhang, Weinian Zhang
Planar hyperbolic diffeomorphisms can be referred to two cases: Poincaré domain (both eigenvalues lie inside the unit circle ) and Siegel domain (one eigenvalue inside b…
Sharp regularity of linearization for hyperbolic diffeomorphisms
Wenmeng Zhang, Weinian Zhang, Witold Jarczyk
linearization is of special significance because it preserves smooth dynamical behaviors and distinguishes qualitative properties in characteristic directions. However, …