http://www.hindawi.comThe latest articles from Hindawi Publishing Corporation© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2010/195983.htmlWe consider a single species nonautonomous system with delays and feedback control. A general criterion on the permanence for all positive solutions is established. The results show that the feedback control does not influence the permanence of species.Xiaomei Feng and Fengqin Zhang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/239209.htmlWe obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m≥2, main results of this paper do not appear in former literatures as we know. Comparing with the existing results, our results are new also when m=1.Zhao-Cai Hao, Ti-Jun Xiao, and Jin Liang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/250206.htmlTechnical indicators are very important tools in the analysis of securities investment. In this paper, considering several main technical indicators prevailed in China security market, we predict whether the price of a stock rises or falls with the support vector machines (SVMs). We represent the technical indicators of current four days as input vector. If the price of next day rises, we say that the vector belongs to opposite set, if it falls, we say it belongs to negative set. Studying the samples, the SVMs construct a classification model. Then, based on the data of today and three days before, the SVMs give a prediction of tomorrow price. The experiment shows that the predicting accuracy is all greater than 60%.Zuoquan Zhang and Qin Zhao© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2010/931798.htmlWe propose a discrete model of mutualism with infinite deviating arguments, that is x1(n+1)=x1(n)exp{r1(n)[(K1(n)+α1(n)∑s=0∞J2(s)x2(n−s))/(1+∑s=0∞J2(s)x2(n−s))−x1(n−σ1(n))]},x2(n+1)=x2(n)exp{r2(n)[(K2(n)+α2(n)∑s=0∞J1(s)x1(n−s))/(1+∑s=0∞J1(s)x1(n−s))−x2(n−σ2(n))]}. By some Lemmas, sufficient conditions are obtained for the permanence of the system.Xuepeng Li and Wensheng Yang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/753746.htmlPhase synchronization occurs whenever a linearized system describing the evolution of the difference between coupled chaotic systems has at least one eigenvalue with zero real part. We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations.G. H. Erjaee and M. Alnasr© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/923809.htmlWe study the Kaldor-Kalecki model of business cycles with delay in both the gross product and the capital stock. Simple-zero and double-zero singularities are investigated when bifurcation parameters change near certain critical values. By performing center manifold reduction, the normal forms on the center manifold are derived to obtain the bifurcation diagrams of the model such as Hopf, homoclinic and double limit cycle bifurcations. Some examples are given to confirm the theoretical results.Xiaoqin P. Wu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/256195.htmlWe introduce and study a Gompertz model with time delay and impulsive perturbations on the prey. By using the discrete dynamical system determined by the stroboscopic map, we obtain the sufficient conditions for the existence and global attractivity of the “predator-extinction” periodic solution. With the theory on the delay functional and impulsive differential equation, we obtain the appropriate condition for the permanence of the system.Jianwen Jia and Chunhua Li© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/290123.htmlA single species stage-structured model incorporating both toxicant and harvesting is proposed and studied. It is shown that toxicant has no influence on the persistent property of the system. The existence of the bionomic equilibrium is also studied. After that, we consider the system with variable harvest effect; sufficient conditions are obtained for the global stability of bionomic equilibrium by constructing a suitable Lyapunov function. The optimal policy is also investigated by using Pontryagin's maximal principle. Some numeric simulations are carried out to illustrate the feasibility of the main results. We end this paper by a brief discussion.Huiling Wu and Fengde Chen© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/830572.htmlA support vector machine is a new learning machine; it is based on the statistics learning theory and attracts the attention of all researchers. Recently, the support vector machines (SVMs) have been applied to the problem of financial early-warning prediction (Rose, 1999). The SVMs-based method has been compared with other statistical methods and has shown good results. But the parameters of the kernel function which influence the result and performance of support vector machines have not been decided. Based on genetic algorithms, this paper proposes a new scientific method to automatically select the parameters of SVMs for financial early-warning model. The results demonstrate that the method is a powerful and flexible way to solve financial early-warning problem.Zuoquan Zhang, Fan Lang, and Qin Zhao© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/283959.htmlWe analyze a class of large time-stepping Fourier spectral methods for the semiclassical limit of the defocusing Nonlinear Schrödinger equation and provide highly stable methods which allow much larger time step than for a standard implicit-explicit approach. An extra term, which is consistent with the order of the time discretization, is added to stabilize the numerical schemes. Meanwhile, the first-order and second-order semi-implicit schemes are constructed and analyzed. Finally the numerical experiments are performed to demonstrate the effectiveness of the large time-stepping approaches.Zongqi Liang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/407623.htmlWe consider the existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation. By means of the minimax methods in the critical point theory, some new results are obtained. Two examples are also given to illustrate the main results.Tieshan He and Fengjian Yang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/916382.htmlA novel method based on the local nonlinear mapping is presented in this research. The method is called Locally Linear Discriminate Embedding (LLDE). LLDE preserves a local linear structure of a high-dimensional space and obtains a compact data representation as accurately as possible in embedding space (low dimensional) before recognition. For computational simplicity and fast processing, Radial Basis Function (RBF) classifier is integrated with the LLDE. RBF classifier is carried out onto low-dimensional embedding with reference to the variance of the data. To validate the proposed method, CMU-PIE database has been used and experiments conducted in this research revealed the efficiency of the proposed methods in face recognition, as compared to the linear and non-linear approaches.Eimad E. Abusham and E. K. Wong© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/289480.htmlBy using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result.Xiaoli Sun and Xiaodi Li© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/139671.htmlThe problem of passivity analysis for a class of discrete-time stochastic neural networks (DSNNs) with time-varying interval delay is investigated. The delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs). The results are shown to be generalization of some previous results and are less conservative than the existing works. Meanwhile, the computational complexity of the obtained stability conditions is reduced because less variables are involved. Two numerical examples are given to show the effectiveness and the benefits of the proposed method.Jianjiang Yu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/195382.htmlWe investigate a predator-prey model with stage structure for the predator and periodic constant impulsive perturbations. Conditions for extinction of prey and immature predator are given. By using the Floquet theory and small amplitude perturbation skills, we consider the local stability of prey, immature predator eradication periodic solution. Furthermore, by using the method of numerical simulation, the influence of the impulsive control strategy on the inherent oscillation is investigated, which shows rich complex dynamic (such as periodic doubling bifurcation, periodic halving bifurcation, nonunique attractors, chaos, and periodic windows).Bin Zhang, Shuai Shi, and Woye Liu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/141929.htmlThis paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales 𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem. As applications, two examples are given to illustrate the main results and their differences. These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.You-Hui Su and Can-Yun Huang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/897087.htmlWe investigate some new nonlinear dynamic inequalities on time scales. Our results unify and extend some integral inequalities and their corresponding discrete analogues. The inequalities given here can be used to investigate the properties of certain dynamic equations on time scales.Wei Nian Li and Maoan Han© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/439173.htmlThis paper is concerned with pth moment exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stability for the considered system is presented. The proposed results generalized and improved some earlier publications.Chuangxia Huang, Xinsong Yang, and Yigang He© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/153058.htmlWe investigate the global dynamics of solutions of four distinct competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or nonhyperbolic equilibrium points. Our results give complete answer to Open Problem 2 posed recently by Camouzis et al. (2009).M. Garić-Demirović, M. R. S. Kulenović, and M. Nurkanović© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/605313.htmlwe establish a recurrence formula for D numbers D2n(2n−1). A generating function for D numbers D2n(2n−1) is also presented.Guodong Liu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/641368.htmlThe existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.Meili Li and Chunhai Kou© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/615069.htmlLet H∈ℂn×n be an n×n unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let Hk be the kth leading principal submatrix of H, and let H˜k be a modified submatrix of Hk. It is shown that when the minimal and maximal eigenvalues of H˜k (k=1,2,…,n) are known, H can be constructed uniquely and efficiently. Theoretic analysis, numerical algorithm, and a small example are given.Chunhong Wu and Linzhang Lu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/827087.htmlBy Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0,T]×R2: ∂xxu+u∂yu−∂tu=f(⋅,u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in finite time.Zongqi Liang and Huashui Zhan© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/538431.htmlWe consider the multi-point discrete boundary value problem with one-dimensional p-Laplacian operator Δ(ϕp(Δu(t−1))+q(t)f(t,u(t),Δu(t))=0, t∈{1,…,n−1} subject to the boundary conditions: u(0)=0, u(n)=∑i=1m−2aiu(ξi), where ϕp(s)=|s|p−2s,p>1,ξi∈{2,…,n−2} with 1<ξ1<⋯<ξm−2<n−1 and ai∈(0,1),0<∑i=1m−2ai<1. Using a new fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.Yanping Guo, Wenying Wei, and Yuerong Chen© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/324273.htmlWe give very general characterizations for uniform exponential dichotomy of variational difference equations. We propose a new method in the study of exponential dichotomy based on the convergence of some associated series of nonlinear trajectories. The obtained results are applied to difference equations and also to linear skew-product flows.Bogdan Sasu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/656549.htmlThe paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of multiple discrete Lyapunov functionals.Ling Zhang, Zhidong Teng, Tailei Zhang, and Shujing Gao© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/732510.htmlA discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.Zhixiang Yu and Zhong Li© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/609306.htmlWe study an epidemic model with a nonlinear incidence rate which describes the psychological effect of certain serious diseases on the community when the ratio of the number of infectives to that of the susceptibles is getting larger. The model has set up a challenging issue regarding its dynamics near the origin since it is not well defined there. By carrying out a global analysis of the model and studying the stabilities of the disease-free equilibrium and the endemic equilibrium, it is shown that either the number of infective individuals tends to zero as time evolves or the disease persists. Computer simulations are presented to illustrate the results.Sanling Yuan and Bo Li© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/453750.htmlA k-nacci sequence in a finite group is a sequence of group elements x0,x1,x2,…,xn,… for which, given an initial (seed) set x0,x1,x2,…,xj−1 , each element is defined by xn=x0x1…xn−1, for   j≤n<k,  and  xn=xn−kxn−k+1…xn−1, for   n≥k. We also require that the initial elements of the sequence, x0,x1,x2,…,xj−1, generate the group, thus forcing the k-nacci sequence to reflect the structure of the group. The K-nacci sequence of a group generated by x0,x1,x2,…,xj−1 is denoted by Fk(G;x0,x1,…,xj−1) and its period is denoted by Pk(G;x0,x1,…,xj−1) . In this paper, we obtain the period of K-nacci sequences in finite polyhedral groups and the extended triangle groups.Erdal Karaduman and Ömür Deveci© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ddns/2009/815247.htmlBacterial Foraging Optimization (BFO) is a novel optimization algorithm based on the social foraging behavior of E. coli bacteria. This paper presents a variation on the original BFO algorithm, namely, the Cooperative Bacterial Foraging Optimization (CBFO), which significantly improve the original BFO in solving complex optimization problems. This significant improvement is achieved by applying two cooperative approaches to the original BFO, namely, the serial heterogeneous cooperation on the implicit space decomposition level and the serial heterogeneous cooperation on the hybrid space decomposition level. The experiments compare the performance of two CBFO variants with the original BFO, the standard PSO and a real-coded GA on four widely used benchmark functions. The new method shows a marked improvement in performance over the original BFO and appears to be comparable with the PSO and GA.Hanning Chen, Yunlong Zhu, and Kunyuan Hu© 2010, Hindawi Publishing Corporation. All rights reserved.