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Search Results: 1 - 10 of 36989 matches for " Zhenxin Yan "
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Methane Desorption from Homogeneous Distributed Micro-Pores of Coal  [PDF]
Wei Liu, Zhenxin Yan
Journal of Applied Mathematics and Physics (JAMP) , 2015, DOI: 10.4236/jamp.2015.36077
Abstract: The thermal desorption kinetic mechanism from internal micro-pores of coal is theoretically investigated by Monte Carlo simulations. It is supposed that the molecules are absorbed in the pores and can jump between adjacent ones. The desorption rates of the statistical ensemble average are calculated. The competing effect of the temperature and the adsorptive energy is analyzed. The desorption probabilities indicated that the choice of desorption energy is clear at low temperature, however, there is not clearly different between high temperature.
Conley index for random dynamical systems
Zhenxin Liu
Mathematics , 2006,
Abstract: Conley index theory is a very powerful tool in the study of dynamical systems, differential equations and bifurcation theory. In this paper, we make an attempt to generalize the Conley index to discrete random dynamical systems. And we mainly follow the Conley index for maps given by Franks and Richeson in [6]. Furthermore, we simply discuss the relations of isolated invariant sets between time-continuous random dynamical systems and the corresponding time-$h$ maps. For applications we give several examples to illustrate our results.
The random case of Conley's theorem: II. The complete Lyapunov function
Zhenxin Liu
Mathematics , 2007, DOI: 10.1088/0951-7715/20/4/012
Abstract: Conley in \cite{Con} constructed a complete Lyapunov function for a flow on compact metric space which is constant on orbits in the chain recurrent set and is strictly decreasing on orbits outside the chain recurrent set. This indicates that the dynamical complexity focuses on the chain recurrent set and the dynamical behavior outside the chain recurrent set is quite simple. In this paper, a similar result is obtained for random dynamical systems under the assumption that the base space $(\Omega,\mathcal F,\mathbb P)$ is a separable metric space endowed with a probability measure. By constructing a complete Lyapunov function, which is constant on orbits in the random chain recurrent set and is strictly decreasing on orbits outside the random chain recurrent set, the random case of Conley's fundamental theorem of dynamical systems is obtained. Furthermore, this result for random dynamical systems is generalized to noncompact state spaces.
The random case of Conley's theorem: III. Random semiflow case and Morse decomposition
Zhenxin Liu
Mathematics , 2007, DOI: 10.1088/0951-7715/20/12/003
Abstract: In the first part of this paper, we generalize the results of the author \cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we obtain Conley decomposition theorem for infinite dimensional random dynamical systems. In the second part, by introducing the backward orbit for random semiflow, we are able to decompose invariant random compact set (e.g. global random attractor) into random Morse sets and connecting orbits between them, which generalizes the Morse decomposition of invariant sets originated from Conley \cite{Con} to the random semiflow setting and gives the positive answer to an open problem put forward by Caraballo and Langa \cite{CL}.
Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems
Zhenxin Liu
Mathematics , 2005,
Abstract: Chow, Li and Yi in [2] proved that the majority of the unperturbed tori {\it on sub-manifolds} will persist for standard Hamiltonian systems. Motivated by their work, in this paper, we study the persistence and tangent frequencies preservation of lower dimensional invariant tori on smooth sub-manifolds for real analytic, nearly integrable Hamiltonian systems. The surviving tori might be elliptic, hyperbolic, or of mixed type.
The random case of Conley's theorem
Zhenxin Liu
Mathematics , 2005, DOI: 10.1088/0951-7715/19/2/002
Abstract: The well-known Conley's theorem states that the complement of chain recurrent set equals the union of all connecting orbits of the flow $\phi$ on the compact metric space $X$, i.e. $X-\mathcal{CR}(\phi)=\bigcup [B(A)-A]$, where $\mathcal{CR}(\phi)$ denotes the chain recurrent set of $\phi$, $A$ stands for an attractor and $B(A)$ is the basin determined by $A$. In this paper we show that by appropriately selecting the definition of random attractor, in fact we define a random local attractor to be the $\omega$-limit set of some random pre-attractor surrounding it, and by considering appropriate measurability, in fact we also consider the universal $\sigma$-algebra $\mathcal F^u$-measurability besides $\mathcal F$-measurability, we are able to obtain the random case of Conley's theorem.
Stochastic inertial manifolds for damped wave equations
Zhenxin Liu
Mathematics , 2006,
Abstract: In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely.
The Impact Process of the Consumers’ Participating in New Product Idea Brainstorming on Online Brand Community Members’ Self-Brand Connection and Brand Attachment

WANG Haizhong
,YAN Yi,HE Zhenxin

- , 2017,
Abstract: 摘要 基于消费者参与过程即是消费者与企业建立情感联结,获得“关系价值”这一前提,聚焦于消费者参与新产品构思影响线上社群成员自我-品牌联接和品牌依恋等“品牌情感”。以中国市场具代表性的智能手机品牌线上社群为对象,通过系列实验,证实了消费者参与新产品构思正向影响线上社群成员的自我-品牌联接,并且,更高的自我-品牌联接导致更强的品牌依恋;还证实了产品感知创新度的调节作用。消费者参与新产品构思对线上社群成员自我-品牌联接的正向影响主要适用于渐进性新产品(感知创新度低),不适用于突破性新产品(感知创新度高)
Display technique based on surface plasmon resonant effect
ZhenXin Cao,LeNan Wu
Chinese Science Bulletin , 2008, DOI: 10.1007/s11434-008-0328-z
Abstract: In a surface plasmon resonant (SPR) configuration, real part in refraction coefficient of modulation layer material is monotonic with resonant wave length, while imaginary part is monotonic with resonant magnitude. Based on the fact above, a new type of display is proposed and designed. Firstly, a display pixel with either controllable color or controllable brightness is discussed, and then a display pixel with both controllable color and brightness is proposed in detail. At last, an SPR display with 8×8 pixels is developed and simulated. The results show that color and brightness of each display pixel in an SPR display can be tuned directly, with no need of synthesizing three basic colors, traditionally. Moreover, the display has many merits, such as high color resolution, high contrast, high brightness, fast response, etc. Yet practical usage of SPR display demands deeper study on properties of modulation layer material and fabrication techniques.
Square-mean almost automorphic solutions for some stochastic differential equations
Miaomiao Fu,Zhenxin Liu
Mathematics , 2010,
Abstract: The concept of square-mean almost automorphy for stochastic processes is introduced. The existence and uniqueness of square-mean almost automorphic solutions to some linear and non-linear stochastic differential equations are established provided the coefficients satisfy some conditions. The asymptotic stability of the unique square-mean almost automorphic solution in square-mean sense is discussed.
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