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UNIQUENESS OF LIMIT-CYCLES OF GENERALIZED LIENARD SYSTEMS AND PREDATOR PREY SYSTEMS

JOURNAL OF PHYSICS A-math.MATICAL AND GENERAL 1988年第13期21卷 L685-L691页

作者： HUANG, XC Dept. of Math. Stat. & Comput. Sci. Marquette Univ. Milwaukee WI USA

Another interesting example of how math.matical methods in physics can be applied to the area of ecology is presented. By using a theorem which first appeared in a Russian paper in 1958 for a generalised Lienard system, a uniqueness theorem of limit cycles of a predator-prey system, which includes Lotka-Volterra, Gause and other systems as special cases, is obtained. Several examples show that the theorem is very useful in dealing with the uniqueness problem of limit cycles for certain ecological systems.

关键词： comput.tional methods Physics uniqueness limit cycles uniqueness theorem Theorem predator-prey systems

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Explicit fundamental solution to Kolmogorov equation

Explicit fundamental solution to Kolmogorov equation

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IEEE Conference on Decision and Control

作者： S.S.-T. Yau S.-T. Yau Dept. of Math. Stat. & Comput. Sci. Illinois Univ. Chicago IL USA

The original motivation of this study was to solve the Duncan-Mortensen-Zakai equation in nonlinear filtering theory. It was found that to do so one has to solve the so-called Kolmogorov equation. A scheme for solving... 详细信息

关键词： Nonlinear equations Filtering theory

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2D shape analysis base on perceptual hierarchy

2D shape analysis base on perceptual hierarchy

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IEEE Digital Signal Processing Workshop

作者： QiGang Guo Dept. of Math. Stat. & Comput. Sci. Dalhousie Univ. Halifax NS Canada

ISBN: (纸本)0780336291

A novel approach for the recognition of 2D shapes is presented based on the perceptual organization of descriptive-boundary primitives of objects. The system has three components: (1) a set of partition and grouping rules for extracting and manipulating the primitives, (2) a control structure of the processes and (3) a representation scheme based on a perceptual hierarchy.

关键词： Shape Humans Retina Image analysis Psychology Layout math.matics Statistics Control systems comput.r vision

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Stability of dynamical distribution networks with arbitrary flow constraints and unknown in/outflows

Stability of dynamical distribution networks with arbitrary ...

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IEEE Annual Conference on Decision and Control

作者： Jieqiang Wei Arjan van der Schaft Johann Bernoulli Inst. for Math. &amp Comput. Sci. Univ. of Groningen Groningen Netherlands|c|

ISBN: (纸本)9781467357159

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and outflows. We analyze the dynamics of the system in closed-loop with a distributed proportional-integral controller structure, where the flow inputs are constrained to take value in closed intervals. Results from our previous work are extended to general flow constraint intervals, and conditions for asymptotic load balancing are derived that rely on the structure of the graph and its flow constraints.

关键词： Power grids Turbulent Flow Unknown basic model Load balancing PI control Constraint flow(general)

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The Stabilization of Singular Linear Large-Scale Control Systems with Input Feedbacks

The Stabilization of Singular Linear Large-Scale Control Sys...

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International Conference on Information sci.nce and Engineering (ICISE)

作者： Jin-lun Ding Chao-tian Chen Comput. & Math. Sci. Fac. Guangdong Polytech. Normal Univ. Guangzhou China

The stabilization problem of singular linear large-scale control systems with input feedbacks is investigated by using Riccati matrix equation, generalized Lyapunov function method, system decomposition method, singular systems theory and matrix theory. Some sufficient conditions for determining the asymptotical stability and unstability of the corresponding singular closed-loop large-scale systems are given. At last, an illustrate example is given to show the application of main result.

关键词： Large-scale systems Linear feedback control systems Control systems Lyapunov method math.matics Riccati equations Matrix decomposition Asymptotic stability Chaos Control system synthesis

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math.C: A math.matica-Based Tool for CSL Model Checking of Deterministic and Stochastic Petri Nets

MathMC: A Mathematica-Based Tool for CSL Model Checking of D...

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International Conference on the Quantitative Evaluation of Systems (QEST)

作者： B.J. Haverkort J.M. Martinez Fac. of Electr. Eng. Math. & Comput. Sci. Twente Univ. Enschede

Deterministic and stochastic Petri nets (DSPNs) are a widely used high-level formalism for modeling discrete-event systems where events may occur either without consuming time, after a deterministic time, or after an exponentially distributed time. CSL (continuous stochastic logic) is a (branching) temporal logic developed to express probabilistic properties in continuous time Markov chains (CTMCs). In this paper we present a math.matica-based tool that implements recent developments for model checking CSL style properties on DSPNs. Furthermore, as a consequence of the type of process underlying DSPNs (a superset of Markovian processes), we are also able to check CSL properties of generalized stochastic Petri nets (GSPNs) and labeled CTMCs

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ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF FRUSTRATED NEURAL NETWORKS WITH MCCULLOCH-PITTS NONLINEARITY

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Annals of Differential Equations 2003年第3期19卷 352-361页

作者：刘开宇钱祥征张弘强 College of Math. and Econometrics Hunan University Changsha 410082 Dept. of Inform. and Comput. Sci. Changsha Comm. Universiiy Changsha 410076

This paper is concerned with a delay differential equation x=-x + f(y(t-r)), y=-y-f(x(t-r)), where delay r is a positive constant, and f is a signal transmission function of McCulloch-Pitts *** obtain some sufficient and necessary conditions for the asymptotic behavior of network (*) with σ ≤-1 .The results obtained show that the large time behaviors of solutions of (*) are dependent of r if σ= -1. These results improve the corresponding theorems in [3] by removing the restriction of the initial conditions.

关键词： asymptotic behavior delay differential equation osci.lation neural network

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An JPEG Information Hiding Algorithm of Resisting FR

An JPEG Information Hiding Algorithm of Resisting FR

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International Workshop on Intelligent Systems and Applications, ISA

作者： Ming-wei Tang Ming-yu Fan Guang-wei Wang Wei Li Sch. of Comput. Sci. & Eng. Univ. of Electron. Sci. & Technol. of China Chengdu China Sch. of Math. & Comput. Sci. Technol. Xihua Univ. Chengdu China

FR is a steganalysis algorithm based on frequency domain for F5. It has been widely used because of its high-capacity and robustness. In recent years, many scholars have engaged in the field. In this paper, It is proposed for a JPEG information hiding algorithm of resisting F5(JHRF). By embedding secret information into IPEG image by rules, JHRF can deal effectively with abnormal data and get better results resisting FR. The experiment results show that JHRF is more effective.

关键词： Steganography Space technology Information security Robustness Discrete cosine transforms Art Digital images Internet math.matics comput.r sci.nce

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Interpretation Method of Nonlinear Multilayer Principal Component Analysis by using Sparsity and Hierarchical Clustering

Interpretation Method of Nonlinear Multilayer Principal Comp...

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IEEE International Conference on Machine Learning and Applications

作者： Natsuki KODA Sumio WATANABE Dept. of Comput. Intell. & Syst. Sci. Tokyo Inst. of Technol. Yokohama Japan Dept. of Math. & Comput. Sci. Tokyo Inst. of Technol. Yokohama Japan

ISBN: (纸本)9781509061686

Nonlinear multilayer principal component analysis (NMPCA) is well-known as an improved version of principal component analysis (PCA) using a five layer bottleneck neural network. NMPCA enables us to extract nonlinear hidden structure from high dimensional data, however, it has been difficult for users to understand obtained results, because trained results of NMPCA have many different locally optimal parameters depending on initial parameters. There has been no method how to find a few essential structures from many differently trained networks. This paper proposes a new interpretation method of NMPCA by extracting a few essential structures from many differently trained and locally optimal parameters. In the proposed method, firstly the weight parameters are made to be sparsely represented by LASSO training and appropriately ordered using the generalized factor loadings, then classified into a few hierarchical clusters, so that users can understand the extracted results. Its effectiveness is shown by both artificial and real world problems.

关键词： PCA NMPCA Interpretation Method

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P4-Linda: A portable implementation of Linda 2

P4-Linda: A portable implementation of Linda

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2nd International Symposium on High Performance Distributed comput.ng, HPDC 1993

作者： Butler, R.M. Leveton, A.L. Lusk, E.L. Coll. of Comput. and Inf. Sci. Univ. of North Florida JacksonvilleFL32224 United States Math and Coinp. Sci. Division Argoiine National Laboratory ArgonneIL60439 United States

ISBN: (纸本)0818639008

Facilities such as interprocess communication and protection of shared resources have been added to operating systems to support multiprogramming and have since been adapted to exploit explicit multiprocessing within the scope of two models: the shared-memory model and the distributed (message-passing) model. When multiprocessors (or networks of heterogeneous processors) are used for explicit parallelism, the difference between these models is exposed to the programmer. The p4 tool set was originally developed to buffer the programmer from synchronization issues while offering an added advantage in portability, however two models are often still needed to develop parallel algorithms. The authors provide two implementations of Linda in an attempt to support a single high-level programming model on top of the existing paradigms in order to provide a consistent semantics regardless of the underlying model. Linda's fundamental properties associated with generative communication eliminate the distinction between shared and distributed memory. © 1993 IEEE.

关键词： Multiprogramming

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