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Bifurcation from Infinity of the Schrödinger Equation via Invariant Manifolds
Chunqiu Li, Jintao Wang
This paper is concerned with the bifurcation from infinity of the nonlinear Schrödinger equation We treat this problem in…
A Remark on Attractor Bifurcation
Chunqiu Li, Desheng Li, Jintao Wang
In this paper we present some local dynamic bifurcation results in terms of invariant sets of nonlinear evolution equations. We show that if the trivial solution is an isolated inv…
On the forward dynamical behavior of nonautonomous lattice dynamical systems
Chunqiu Li, Jintao Wang
In this article, we study the forward dynamical behavior of nonautonomous lattice systems. We first construct a family of sets in arbitrar…
On Relative Category and Morse Decompositions for Infinite-Dimensional Dynamical Systems
Jintao Wang, Desheng Li
We employ the relative category to develop relations between the Ważewski pair and the Morse decomposition of the maximal invariant set in $\ol{N\sm E}$ for infinite-dimens…
Compactly Generated Shape Index Theory and its Application to a Retarded Nonautonomous Parabolic Equation
Jintao Wang, Jinqiao Duan, Desheng Li
We establish the compactly generated shape (H-shape) index theory for local semiflows on complete metric spaces via more general shape index pairs, and define the H-shape cohomolog…
Attractors of Local Semiflows on Topological Spaces
Desheng Li, Youbin Xiong, Jintao Wang
In this paper we introduce a notion of an attractor for local semiflows on topological spaces, which in some cases seems to be more suitable than the existing ones in the literatur…