The unconditional stability for the hyperneutral type constant linear control system with delays (I)

By means of the frequency domain method and the inequality analysis, we discuss the unconditional stability problem for the hyperneutral type constant linear control system with delays, and obtain some precise sufficient, sufficient and necessary conditions. Foundation item: Supported by the Natural Science Foundation of Hubei Province (2000A49005) Biography: Li Ye-ping (1972-), male, Lecturer, research direction: partial differential equation and differenfial dynamic systems.     

The cyclicity of the period annulus around the quadratic isochronous center

The number of the limit cycles bifurcating in small quadratic perturbations of quadratic systems with an ischronous center is studied, it turns out that the cyclicity of the period annulus around one kind of quadratic isochronous center is two. Foundation item: Supported by the National Natural Science Foundation of China(No. 19531070) and Natural Science Fundation of Hubei Province(No. 98J121) Biography: Chen Shi-hua(1961-), male, Associate professor, research interests: qualitative of ordinary differential equation and chaos control.     

Parallel evolutionary modeling for nonlinear ordinary differential equations

We introduce a new parallel evolutionary algorithm in modeling dynamic systems by nonlinear higher-order ordinary differential equations (NHODEs). The NHODEs models are much more universal than the traditional linear models. In order to accelerate the modeling process, we propose and realize a parallel evolutionary algorithm using distributed CORBA object on the heterogeneous networking. Some numerical experiments show that the new algorithm is feasible and efficient. Foundation item: Supported by the National Natural Science Foundation of China (No. 70071042 and No. 60073043) Biography: Kang Zhuo (1970-), male, Lecturer, research interest: network computing and evolutionary computation.     

Parallel implementations of modeling

First, an asynchronous distributed parallel evolutionary modeling algorithm (PEMA) for building the model of system of ordinary differential equations for dynamical systems is proposed in this paper. Then a series of parallel experiments have been conducted to systematically test the influence of some important parallel control parameters on the performance of the algorithm. A lot of experimental results are obtained and we make some analysis and explanations to them. Foundation item: Supported by the National Natural Science Foundation of China (60133010, 70071042, 60073043) Biography: Cao Hong-qing ( 1972-), female, Associate professor, research direction; evolutionary computing, parallel computing.     

The existence and stability of nontrivial steady-state for a delay competition-diffusion model

This paper investigates the competition diffusion model with delay. The existence and stability of nontrivial steady state are studied. Foundation item: Supported by the National Natural Science Foundation of China Biography: ZHOU Li (1939-), male, Professor, research interest is in partial differential equation.     

On the approximation solvability of the abstract differential inclusion

The approximation solvability of the abstract differential inclusion du/dt∈f(t,u) is presented. The convergence of the approximation solution and the existence of the solution for abstract evolution multivalued problem are discussed. Foundation item: Supported by the National Natural Science Foundation of China (No. 19771062) Biography: Xia Jin-sheng (1975-), Ph.D candidate, research interest: the approximate solution of differential equation.     

Some index classes of singularity of vector fields on manifolds with boundary

V. I. Arnold defined some particular classes of index for singularities of adapted fields. We generalize these index classes for general fields on manifolds with boundary and get some relations of these index classes. Foundation item: Supported by the National Natural Science Foundation of China (10261002) Biography: Xu Xu (1973-), male, Ph. D, research direction: singularities and differential topology.     

An exact formal solution to reaction-diffusion equations from biomathematics

We study the exact formal solution to the simplified Keller-Segel system modelling chemotaxis. The method we use is series expanding. The main result is to attain the formal solution to the simplified Keller-Segel system. Foundation item: Supported by the National Natural Science Foundation of China(No. 10025107) Biography: Chen Hua(1956-), male, Professor, research direction: partial differential equations.     

The unconditional stability for the multigroup multidelays neutral type linear constant control system

Applying the frequency domain method and the inequality method, we discussed the unconditional stability problem of the multigroup multidelays neutral type linear constant continuous control system, and obtained some sufficient conditions. Foundation item: Supported by the National Natural Science Foundation of Hubei Province Education Committee Biography: LI Ye-ping (1972-), male, Master candidate, research interest is in partial differential equation.     

On the monotone iterative method for set valued equation

This paper deals with the monotone iterative method for set-valued operator equation in ordered normed space. Some results for the case of single valued operator are generalized here, as an application, a discontinuous nonlinear differential equation problem is discussed. Foundation item: Supported by the Naional Natural Sciences Foundation of China Biography: TIAN Yan (1970-), male, Ph.D. candidate, research interests are in numerical analysis for PDE     

The decoherence-free in multi-coupled quantum computing system

A subdynamics theory framework for describing multi-coupled quantum computing systems is presented first. A general kinetic equation for the reduced system is given then, enabling a sufficient condition to be formulated for constructing a pure coherent quantum computing system. This reveals that using multi-coupled systems to perform quantum computing in Rigged Liouville Space opens the door to controlling or eliminating the intrinsic de-coherence of quantum computing systems. Foundation item: Supported by the National Natural Science Foundation of China (79970121) Biography: Liu Gui-Ping (1964-), male, Lecturer. Research direction: quantum networks.     

Effects of interactions among surfactants,water and oil on equilibrium configuration of surfactant-water-oil systems

The distribution and configuration of surfactants at interface in surfactant-water-oil systems have been investigated using discontinuous molecular dynamic simulations. There exists a certain equilibrium concentration of surfactants at interface for the systems with certain interactions among surfactant, water and oil. The interface length and equilibrium morphology of the systems are dependent on the equilibrium concentration of surfactants at interface and the total amount of surfactants. The interaction strengths among surfactant, water and oil determine the equilibrium concentration of surfactants at interface. Three typical configurations of surfactants at interface have been observed: ① surfactant molecules are perpendicular to the interface and arranged closely; ② perpendicular to the interface and arranged at interval of two particles; ③ lie down in the interface partly.     

The Reliability Design and Availability Analysis of a Distributed Storage System

Current distributed parallel file systems and database systems can not satisfy the demands of data-intensive applications, such as storage capacity, access performance, reliability, scalability, and so on. Cluster-based storage sys tems have some shortcomings, too. To solve this kind of problems, a novel PC storage cluster solution is proposed, a distributed storage system based on 3-tiered agent architecture is designed, the system reliability model based on the masterslave backup mode is built, and the system availability is analyzed with the Markov model. According to the system availability formula and the values of the system parameters, the novel system can provide higher reliability and availability to satisfy users＇ requirements,     

Research on software-cell-based software system

The aim of research on software architecture is to improve the quality attributes of software systems, such as security, reliability, maintainability, testability, reassembility, evolvability. However, a single running system is hard to achieve all these goals. In this paper, software-cell is introduced as the basic unit throughout developing process. Then it is further advanced that a robust, safe and high-quality software system is composed of a running system and four supportive systems. This paper especially discusses the structure of software-cell, the construction of the five systems, and the relations between them. Foundation item: Supported by the National Natural Science Foundation of China (No. 70073022) Biography: Tang Sheng-qun(1946-), male, Professor, research interest: software engineering, architecture     

Studies of the energy release of mitochondria from sporophyte cytoplasmic male sterile rice by differential scanning calorimetry

The differential scanning calorimetric (DSC) curves of the mitochondria isolated from two varieties of sporophyte cytoplasmic male sterile and their fertile lines of Yie Bai and Ma Xie type rice have been determined. The curves show that the energy is released continuously as temperature rise to 70°C. Some thermodynamic and kinetic parameters of the energy release of the mitochondria have been obtained. The presented results showed that the mitochondria from cytoplasmic male sterile rice released more heat and they had higher energy barrier, less rate, and more complicated mechanism than that of their fertile lines in the energy release process. Foundation item: Supported by the National Natural Science Foundation of China, the China Postdoctoral Science Foundation Biography: Zhou Pei-jiang (1956-), male, PhD, Associate professor. Current resarch interest is in biophysical chemistry and environmental ecological chemistry     

Asymptotic behavior of solutions for a periodic transport equation with delay

This paper analyzes a class of first order partial differential equations with delay (a model for the blood production system). The asymptotic behavior of solutions are studied. Supported by the National Natural Science Foundation of China Fu Yiping: born in 1962, Dr. Candidate     

Bang bang control of unified chaotic system

The unified chaotic system contains the Lorenz system and the Chen system as two dual systems at the two extremes of its parameter spectrum. This paper presents the design of bang bang controller for unified system and multitude of numerical experiments under various control parameters. Numerical experiments meet the theoretic proof perfectly and convincingly demonstrated the controller can be effectively used for unified systems with uncertainty of the equilibrium points. The method enriches the applications of chaotic control. Foundation item: Supported by the National Natural Science Foundation of China(50209012) Biography: Deng Xiao-ming (1980-), male, Master candidate, research direction: chaos control.     

The stability for the hyperneutral type nonlinear time varying control systems (1)

We discuss the equivalence problem of hyperneutral type nonlinear time varying control system and linear time varying control system in the theory of stabilization. Making use of the symmetric positive definite solution of Riccati matrix differential equation which corresponds to the linear time varying control system, we construct the Lyapunov function. Then we provide the sufficent conditions which make that the zero solution of the hyperneutral type nonlinear time varying control systems is uniformly asymptotically stable by means of the Lyapunov equivalence decomposition method, and find the formulaes which can be used to estimate the bounds of the time delays and the nonlinear terms. Mong Peiyuan: born in 1950, Associate professor Supported by the Natural Science Foundation of Hubei Province Education Committee. Project code: 97A080     

]Modeling dynamic systems by using the nonlinear difference equations based on genetic programming

When acquaintances of a model are little or the model is too complicate to build by using traditional time series methods, it is convenient for us to take advantage of genetic programming (GP) to build the model. Considering the complexity of nonlinear dynamic systems, this paper proposes modeling dynamic systems by using the nonlinear difference equation based on GP technique. First it gives the method, criteria and evaluation of modeling. Then it describes the modeling algorithm using GP. Finally two typical examples of time series are used to perform the numerical experiments. The result shows that this algorithm can successfully establish the difference equation model of dynamic systems and its predictive result is also satisfactory. Foundation item: Supported by Foundation for University Key Teacher by the Ministry of Education of China Biography: Liu Min ( 1978-), female, Master candidate, research derection: application mathematics.     

Wavelet-Galerkin solutions for differential equations

In order to get over the difficulty of introducing boundary conditions in solving differential equations by Daubechies wavelet, in this paper the wavelet-Galerkin numerical method is suggested to solve the differential equations, especially for the differential equation with boundary layer. The numberical results show that the algorithm described in this paper is effective both in the precision and the ability of detecting boundary layer position. Supported by the National Natural Science Foundation of China Sun Jianhua: born in 1970, Ph. D.