45 citations · 72 across the 6 of their papers we have counts for
6 papers
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…
Exponential trichotomy and global linearization of non-autonomous differential equations
Chaofan Pan, Manuel Pinto, Yonghui Xia
Hartman-Grobman theorem was initially extended to the non-autonomous cases by Palmer. Usually, dichotomy is an essential condition of Palmer's linearization theorem. Is Palmer's li…
A Hartman-Grobman theorem for algebraic dichotomies
Chaofan Pan, Manuel Pinto, Y. H. Xia
Algebraic dichotomy is a generalization of an exponential dichotomy (Lin, JDE2009). This paper gives a version of Hartman-Grobman linearization theorem assuming that linear system…
Floquet Theory for Quaternion-valued Differential Equations
Dong Cheng, Kit Ian Kou, Yong Hui Xia
This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficient…
A Unified Analysis of Linear Quaternion Dynamic Equations on Time Scales
Dong Cheng, Kit Ian Kou, Yong Hui Xia
Over the last years, considerable attention has been paid to the role of the quaternion differential equations (QDEs) which extend the ordinary differential equations. The theory o…
Solve the linear quaternion-valued differential equations having multiple eigenvalues
Kit Ian Kou, Wankai Liu, Y-H Xia
The theory of two-dimensional linear quaternion-valued differential equations (QDEs) was recently established (see Kou and Xia, SAPM). Some profound differences between QDEs and OD…