8 citations · 27 across the 10 of their papers we have counts for
10 papers
Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift-Hohenberg equation
Jintao Wang, Xiaoqian Zhang, Chunqiu Li
We consider a 2D stochastic modified Swift-Hohenberg equations with multiplicative noise and periodic boundary. First, we establish the existence of local and global martingale and…
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…
Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift-Hohenberg equation with multiplicative noise
Jintao Wang, Chunqiu Li, Lu Yang +1
In this paper, we mainly study the long-time dynamical behaviors of 2D nonlocal stochastic Swift-Hohenberg equations with multiplicative noise from two perspectives. Firstly, by ad…
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…
Recurrent Solutions of a Nonautonomous Modified Swift-Hohenberg Equation
Jintao Wang, Lu Yang, Jinqiao Duan
We consider recurrent solutions of the nonautonomous modified Swift-Hohenberg equation We employ Conley index theory to show that, if…
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…
Theory of Compact Hausdorff Shape
Jintao Wang
In this paper, we aim to establish a new shape theory, compact Hausdorff shape (CH-shape) for general Hausdorff spaces. We use the "internal" method and direct system approach on t…
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…