Discrete Dynamics in Nature and Society http://www.hindawi.com The latest articles from Hindawi Publishing Corporation © 2015 , Hindawi Publishing Corporation . All rights reserved. Natural Frequency Analysis of Two Nonlinear Panels Coupled with a Cavity Using the Approximate Elliptic Integral Solution and the Method of Harmonic Residual Minimization Wed, 28 Jan 2015 10:10:59 +0000 http://www.hindawi.com/journals/ddns/2015/939502/ The nonlinear structural acoustic problem considered in this study is the nonlinear natural frequency analysis of flexible double panels using the elliptic integral solution method. There are very limited studies for this nonlinear structural-acoustic problem, although many nonlinear plate or linear double panel problems have been tackled and solved. A multistructural/acoustic modal formulation is derived from two coupled partial differential equations which represent the large amplitude structural vibrations of the flexible panels and acoustic pressure induced within the air gap. One is the von Karman’s plate equation and the other is the homogeneous wave equation. The results obtained from the proposed method approach are verified with those from a numerical method. The effects of vibration amplitude, gap width, aspect ratio, the numbers of acoustic modes and harmonic terms, and so forth on the resonant frequencies of the in-phase and out of phase modes are examined. Y. Y. Lee Copyright © 2015 Y. Y. Lee. All rights reserved. Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule Wed, 28 Jan 2015 09:27:26 +0000 http://www.hindawi.com/journals/ddns/2015/989024/ Evolutionary spatial game is a promising way to unravel the mystery of cooperation, and it has been well recognized that spatial structure could enable cooperation to persist. Schweitzer et al.’s lattice model provides an innovative method to solve the problem. In this paper, we conduct simulations using the same von Neumann neighborhood as in Schweitzer et al.’s study (2002) and observe the effect of initial population and lattice size on the evolution of cooperation. Then, we extend the model with a more complicated Moore neighborhood and self-playing rule for each central player. Simulation results not only provide new evidence for the persistence of cooperation in the evolution with spatial structures, but also investigate critical conditions for the spatial coexistence or the invasion of cooperators and defectors with the more complicated neighborhood. Yanbing Yang, Junhu Ruan, Bin Liu, Yi Liu, and Yan Shi Copyright © 2015 Yanbing Yang et al. All rights reserved. Global Dynamics and Applications of an Epidemiological Model for Hepatitis C Virus Transmission in China Wed, 28 Jan 2015 07:45:23 +0000 http://www.hindawi.com/journals/ddns/2015/543029/ An epidemiological model is proposed and studied to understand the transmission dynamics and prevalence of HCV infection in China. Theoretical analysis indicates that the basic reproduction number provides a threshold value determining whether the disease dies out or not. Two Lyapunov functions are constructed to prove the global asymptotic stability of the disease-free and the endemic equilibria, respectively. Based on data reported by the National Health and Family Planning Commission of China, the basic reproduction number is estimated as approximately , which is much less than that for the model when a treatment strategy is not considered. An ever-increasing HCV infection is predicted in the near future. Numerical simulations, performed to investigate the potential effect of antiviral treatment, show that increasing the treatment cure rate and enlarging the treatment rate for patients at the chronic stage remain effective in reducing the number of new infections and the equilibrium prevalence. The finding suggests that treatment measures are significantly beneficial for disease control in terms of reducing new infections and, in particular, more attention should be paid to treatment for patients at the chronic stage. Mingwang Shen, Yanni Xiao, Weike Zhou, and Zhen Li Copyright © 2015 Mingwang Shen et al. All rights reserved. Optimized Hybrid Methods for Solving Oscillatory Second Order Initial Value Problems Tue, 27 Jan 2015 07:29:30 +0000 http://www.hindawi.com/journals/ddns/2015/217578/ Two-step optimized hybrid methods of order five and order six are developed for the integration of second order oscillatory initial value problems. The optimized hybrid method (OHMs) are based on the existing nonzero dissipative hybrid methods. Phase-lag, dissipation or amplification error, and the differentiation of the phase-lag relations are required to obtain the methods. Phase-fitted methods based on the same nonzero dissipative hybrid methods are also constructed. Numerical results show that OHMs are more accurate compared to the phase-fitted methods and some well-known methods appeared in the scientific literature in solving oscillating second order initial value problems. It is also found that the nonzero dissipative hybrid methods are more suitable to be optimized than phase-fitted methods. N. Senu, F. Ismail, S. Z. Ahmad, and M. Suleiman Copyright © 2015 N. Senu et al. All rights reserved. Asymmetric Procyclicality of Chinese Banking and the Countercyclical Buffer of Basel III Mon, 26 Jan 2015 11:22:29 +0000 http://www.hindawi.com/journals/ddns/2015/318732/ Since the global financial crisis of 2007-2008, the importance of the procyclicality in the banking sector has been highlighted. One of the Basel III objectives is to promote countercyclical buffers and reduce procyclicality. We apply time-varying copula combined with GARCH model to test the existence of asymmetric procyclicality of Chinese banking. The results show that the procyclicality of Chinese banking is asymmetric, where the dependence between loan and economy growth is more correlated during the decline stage than the rise stage of economy. Based on this asymmetry, we suggest that the authority can use high frequent index for signalling the start point of releasing countercyclical buffer and accelerate the releasing pace to avoid the supply of credit being constrained by regulatory capital requirements in downturns. Yufeng Li and Zhongfei Li Copyright © 2015 Yufeng Li and Zhongfei Li. All rights reserved. Analysis of Nonlinear Duopoly Game: A Cooperative Case Thu, 22 Jan 2015 12:57:26 +0000 http://www.hindawi.com/journals/ddns/2015/528217/ We make further attempts to investigate equilibrium stability of a nonlinear Cournot duopoly game. Our studies in this paper focus on the cooperation that may be obtained among duopolistic firms. Discrete time scales under the assumption of unknown inverse demand function and linear cost are used to build our models in the proposed games. We introduce and study here an adjustment dynamic strategy beside the so-called tit-for-tat strategy. For each model, the stability analysis of the fixed point is analyzed. Numerical simulations are carried out to show the complex behavior of the proposed models and to point out the impact of the models’ parameters on the cooperation. S. S. Askar, Ahmad M. Alshamrani, and K. Alnowibet Copyright © 2015 S. S. Askar et al. All rights reserved. Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation Wed, 21 Jan 2015 07:54:34 +0000 http://www.hindawi.com/journals/ddns/2015/123960/ Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane structure—P system with chain structure, is proposed, which is constructed on the basis of discrete gradient vector path of the discrete Morse theory. At the theoretical level, due to its unique chain structure, compared with traditional P system, its structure, object, and rule are described in details. In the practical aspect, a specific application example, P chain system for arithmetic operation, is presented to demonstrate the superiority, computational efficiency, and ability of P system with chain structure. Moreover, a simulation system of arithmetic operations based on P chain system is designed, giving a visual display of the implementation of P chain system for arithmetic operation, and verifying the feasibility and effectiveness of P chain system. Jing Luan and Zhong Yao Copyright © 2015 Jing Luan and Zhong Yao. All rights reserved. Hybrid Video Stabilization for Mobile Vehicle Detection on SURF in Aerial Surveillance Mon, 19 Jan 2015 10:30:05 +0000 http://www.hindawi.com/journals/ddns/2015/357191/ Detection of moving vehicles in aerial video sequences is of great importance with many promising applications in surveillance, intelligence transportation, or public service applications such as emergency evacuation and policy security. However, vehicle detection is a challenging task due to global camera motion, low resolution of vehicles, and low contrast between vehicles and background. In this paper, we present a hybrid method to efficiently detect moving vehicle in aerial videos. Firstly, local feature extraction and matching were performed to estimate the global motion. It was demonstrated that the Speeded Up Robust Feature (SURF) key points were more suitable for the stabilization task. Then, a list of dynamic pixels was obtained and grouped for different moving vehicles by comparing the different optical flow normal. To enhance the precision of detection, some preprocessing methods were applied to the surveillance system, such as road extraction and other features. A quantitative evaluation on real video sequences indicated that the proposed method improved the detection performance significantly. Gao Chunxian, Zeng Zhe, and Liu Hui Copyright © 2015 Gao Chunxian et al. All rights reserved. Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay Thu, 15 Jan 2015 12:19:05 +0000 http://www.hindawi.com/journals/ddns/2015/101874/ A delayed SIQR computer virus model is considered. It has been observed that there exists a critical value of delay for the stability of virus prevalence by choosing the delay as a bifurcation parameter. Furthermore, the properties of the Hopf bifurcation such as direction and stability are investigated by using the normal form method and center manifold theory. Finally, some numerical simulations for supporting our theoretical results are also performed. Zizhen Zhang and Huizhong Yang Copyright © 2015 Zizhen Zhang and Huizhong Yang. All rights reserved. Projective Synchronization of Hyperchaotic Financial Systems Thu, 15 Jan 2015 07:29:34 +0000 http://www.hindawi.com/journals/ddns/2015/782630/ Based on a special matrix structure, the projective synchronization control laws of the hyperchaotic financial systems are proposed in this paper. Put a hyperchaotic financial system as the drive system, via transformation of the system state variables, construct its response system, and then design the controller based on the special matrix structure. The given scheme is applied to achieve projective synchronization of the different hyperchaotic financial systems. Numerical experiments demonstrate the effectiveness of the method. Jiming Zheng and Bingfang Du Copyright © 2015 Jiming Zheng and Bingfang Du. All rights reserved. Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls Thu, 15 Jan 2015 06:51:44 +0000 http://www.hindawi.com/journals/ddns/2015/268378/ We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. An example together with numerical simulation indicates the feasibility of the main result. Hui Zhang, Feng Feng, Bin Jing, and Yingqi Li Copyright © 2015 Hui Zhang et al. All rights reserved. A Delay Almost Periodic Competitive System in Discrete Time Thu, 15 Jan 2015 06:40:44 +0000 http://www.hindawi.com/journals/ddns/2015/896816/ A discrete almost periodic competitive system with delay is proposed and analyzed. The system admits a unique almost periodic solution, which is shown to be uniformly asymptotically stable by using the method of Lyapunov function. Some specific numerical examples are provided to verify our analytical results. Ronghua Tan and Lvli Liao Copyright © 2015 Ronghua Tan and Lvli Liao. All rights reserved. A Rumor Spreading Model considering the Cumulative Effects of Memory Wed, 14 Jan 2015 14:33:24 +0000 http://www.hindawi.com/journals/ddns/2015/204395/ This paper proposes a rumor spreading model which examines how the memory effects rate changes over time in artificial network and a real social network. This model emphasizes a special rumor spreading characteristic called “the cumulative effects of memory.” A function reflecting the cumulative memory effects is established, which replaces the constant rate of memory effects in the traditional model. Further, rumor spreading model simulations are conducted with different parameters in three artificial networks. The results show that all the parameters but the initial memory rate of memory effects function have a significant impact on rumor spreading. At the same time, the simulation results show that the final size of the stiflers is sensitive to the average degree when it is small but is not sensitive to when the average degree is greater than a certain degree. Finally, through investigations on the Sina Microblog network, the numerical solutions show that the peak value and final size of the rumor spreading are much larger under a variable memory effects rate than under a constant rate. Yi Zhang and Jiuping Xu Copyright © 2015 Yi Zhang and Jiuping Xu. All rights reserved. Obstacle Detection in Hybrid Cross-Country Environment Based on Markov Random Field for Unmanned Ground Vehicle Wed, 14 Jan 2015 07:00:32 +0000 http://www.hindawi.com/journals/ddns/2015/540968/ In order to detect the obstacle from the large amount of 3D LIDAR data in hybrid cross-country environment for unmanned ground vehicle, a new graph approach based on Markov random field was presented. Firstly, the preprocessing method based on the maximum blurred line is applied to segment the projection of every laser scan line in x-y plane. Then, based on -means clustering algorithm, the same properties of the line are combined. Secondly, line segment nodes are precisely positioned by using corner detection method, and the next step is to take advantage of line segment nodes to build an undirected graph for Markov random field. Lastly, the energy function is calculated by means of analyzing line segment features and solved by graph cut. Two types of line mark are finally classified into two categories: ground and obstacle. Experiments prove the feasibility of the approach and show that it has better performance and runs in real time. Feng Ding, Yibing Zhao, Lie Guo, Mingheng Zhang, and Linhui Li Copyright © 2015 Feng Ding et al. All rights reserved. Approximate and Iterative Methods Mon, 12 Jan 2015 11:31:57 +0000 http://www.hindawi.com/journals/ddns/2015/340293/ Janusz Brzdęk, Krzysztof Ciepliński, Ajda Fošner, Zbigniew Leśniak, Dorian Popa, and Bing Xu Copyright © 2015 Janusz Brzdęk et al. All rights reserved. Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect Mon, 12 Jan 2015 10:08:18 +0000 http://www.hindawi.com/journals/ddns/2015/847360/ We consider the following system of difference equations: where , , , , are positive constants and are initial conditions. This system has interesting dynamics and it can have up to seven equilibrium points as well as a singular point at , which always possesses a basin of attraction. We characterize the basins of attractions of all equilibrium points as well as the singular point at and thus describe the global dynamics of this system. Since the singular point at always possesses a basin of attraction this system exhibits Allee’s effect. A. Brett and M. R. S. Kulenović Copyright © 2015 A. Brett and M. R. S. Kulenović. All rights reserved. Proactive Traffic Information Control in Emergency Evacuation Network Mon, 12 Jan 2015 07:32:46 +0000 http://www.hindawi.com/journals/ddns/2015/958052/ Traffic demand in emergency evacuation is usually too large to be effectively managed with reactive traffic information control methods. These methods adapt to the road traffic passively by publishing real-time information without consideration of the routing behavior feedback produced by evacuees. Other remedy measures have to be prepared in case of nonrecurring congestion under these methods. To use the network capacity fully to mitigate near-future evacuation traffic congestion, we propose proactive traffic information control (PTIC) model. Based on the mechanism between information and routing behavior feedback, this model can change the route choice of evacuees in advance by dissipating strategic traffic information. Generally, the near-future traffic condition is difficult to accurately predict because it is uncertain in evacuation. Assume that the value of traffic information obeys certain distribution within a range, and then real-time traffic information may reflect the most-likely near-future traffic condition. Unlike the real-time information, the proactive traffic information is a selection within the range to achieve a desired level of the road network performance index (total system travel time). In the aspect of the solution algorithm, differential equilibrium decomposed optimization (D-EDO) is proposed to compare with other heuristic methods. A field study on a road network around a large stadium is used to validate the PTIC. Zhengfeng Huang Copyright © 2015 Zhengfeng Huang. All rights reserved. Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response Mon, 12 Jan 2015 07:21:00 +0000 http://www.hindawi.com/journals/ddns/2015/797542/ This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model. Dehong Ding, Kui Fang, and Yang Zhao Copyright © 2015 Dehong Ding et al. All rights reserved. Discrete Optimal Control Method Based on the Optimal Strategy of Fishing Sun, 11 Jan 2015 14:29:32 +0000 http://www.hindawi.com/journals/ddns/2015/727531/ Consideration was given to the discrete optimal control method for the optimal fishing strategy. Our method is new and efficient for discrete optimal control problem, which is different from the other optimal methods such as the traditional variational method, the Pontryagin principle of maximum, and the dynamic programming. The basic construction of the model is the traditional logistic function relating to the growth of fry. The discrete optimal control method for optimal fishing strategy was used to construct the optimal rate of each fishing strategy; the main focus of our work is on the rigorous mathematical analysis of the optimal control problem. The analysis allows one to obtain the optimal initial investment amount of the fry and the optimal size of the total catch. Furthermore, when the initial investment amount of the fry is below or above the optimal value and the intrinsic growth rate of fish is too small, we derive that fishing operations should not be started in the last few years to make the overall fishing amount optimal. At last, several typical examples are given to illustrate the obtained results. Lichun Zhang and Qingdao Huang Copyright © 2015 Lichun Zhang and Qingdao Huang. All rights reserved. Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays Sun, 11 Jan 2015 14:22:52 +0000 http://www.hindawi.com/journals/ddns/2015/492515/ This paper investigates stability and asymptotic properties of the error with respect to its nominal version of a nonlinear time-varying perturbed functional differential system subject to point, finite-distributed, and Volterra-type distributed delays associated with linear dynamics together with a class of nonlinear delayed dynamics. The boundedness of the error and its asymptotic convergence to zero are investigated with the results being obtained based on the Hyers-Ulam-Rassias analysis. M. De la Sen Copyright © 2015 M. De la Sen. All rights reserved. Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays Sun, 11 Jan 2015 11:43:54 +0000 http://www.hindawi.com/journals/ddns/2015/954782/ This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results. Tianjian Yu, Yanke Zhong, Tefang Chen, and Chunyang Chen Copyright © 2015 Tianjian Yu et al. All rights reserved. A Novel Dynamic Algorithm for IT Outsourcing Risk Assessment Based on Transaction Cost Theory Tue, 06 Jan 2015 07:02:29 +0000 http://www.hindawi.com/journals/ddns/2015/325890/ With the great risk exposed in IT outsourcing, how to assess IT outsourcing risk becomes a critical issue. However, most of approaches to date need to further adapt to the particular complexity of IT outsourcing risk for either falling short in subjective bias, inaccuracy, or efficiency. This paper proposes a dynamic algorithm of risk assessment. It initially forwards extended three layers (risk factors, risks, and risk consequences) of transferring mechanism based on transaction cost theory (TCT) as the framework of risk analysis, which bridges the interconnection of components in three layers with preset transferring probability and impact. Then, it establishes an equation group between risk factors and risk consequences, which assures the “attribution” more precisely to track the specific sources that lead to certain loss. Namely, in each phase of the outsourcing lifecycle, both the likelihood and the loss of each risk factor and those of each risk are acquired through solving equation group with real data of risk consequences collected. In this “reverse” way, risk assessment becomes a responsive and interactive process with real data instead of subjective estimation, which improves the accuracy and alleviates bias in risk assessment. The numerical case proves the effectiveness of the algorithm compared with the approach forwarded by other references. Guodong Cong and Tinggui Chen Copyright © 2015 Guodong Cong and Tinggui Chen. All rights reserved. An Improved Animal Migration Optimization Algorithm for Clustering Analysis Mon, 05 Jan 2015 14:06:17 +0000 http://www.hindawi.com/journals/ddns/2015/194792/ Animal migration optimization (AMO) is one of the most recently introduced algorithms based on the behavior of animal swarm migration. This paper presents an improved AMO algorithm (IAMO), which significantly improves the original AMO in solving complex optimization problems. Clustering is a popular data analysis and data mining technique and it is used in many fields. The well-known method in solving clustering problems is -means clustering algorithm; however, it highly depends on the initial solution and is easy to fall into local optimum. To improve the defects of the -means method, this paper used IAMO for the clustering problem and experiment on synthetic and real life data sets. The simulation results show that the algorithm has a better performance than that of the -means, PSO, CPSO, ABC, CABC, and AMO algorithm for solving the clustering problem. Mingzhi Ma, Qifang Luo, Yongquan Zhou, Xin Chen, and Liangliang Li Copyright © 2015 Mingzhi Ma et al. All rights reserved. Oscillation Properties for Systems of Higher-Order Partial Differential Equations with Distributed Deviating Arguments Thu, 01 Jan 2015 13:18:09 +0000 http://www.hindawi.com/journals/ddns/2015/739636/ New sufficient conditions are obtained for oscillation for the solutions of systems of a class of higher-order quasilinear partial functional differential equations with distributed deviating arguments. The obtained results are illustrated by example. Youjun Liu, Jianwen Zhang, and Jurang Yan Copyright © 2015 Youjun Liu et al. All rights reserved. Nonlinear Dynamics in Financial Systems: Advances and Perspectives Wed, 31 Dec 2014 13:12:53 +0000 http://www.hindawi.com/journals/ddns/2014/275750/ Chuangxia Huang, Fenghua Wen, Jianping Li, Taishan Yi, and Xiaodong Lin Copyright © 2014 Chuangxia Huang et al. All rights reserved. Discrete and Dynamic Optimization Problems in Operations Management 2014 Wed, 31 Dec 2014 11:09:05 +0000 http://www.hindawi.com/journals/ddns/2014/597980/ Xiang Li, Ou Tang, Weihua Liu, and Xiaochen Sun Copyright © 2014 Xiang Li et al. All rights reserved. Almost Automorphic Functions of Order and Applications to Dynamic Equations on Time Scales Wed, 31 Dec 2014 09:58:40 +0000 http://www.hindawi.com/journals/ddns/2014/410210/ We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of order . Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay. Gisèle Mophou, Gaston Mandata N’Guérékata, and Aril Milce Copyright © 2014 Gisèle Mophou et al. All rights reserved. Equivariant Bifurcation in Coupled Two Neural Network Rings Tue, 30 Dec 2014 06:17:28 +0000 http://www.hindawi.com/journals/ddns/2014/971520/ We study a Hopfield-type network that consists of a pair of one-way rings each with three neurons and two-way coupling between the rings. The rings have symmetric group , which means the global symmetry and internal symmetry . We discuss the spatiotemporal patterns of bifurcating periodic oscillations by using the symmetric bifurcation theory of delay differential equations combined with representation theory of Lie groups. The existence of multiple branches of bifurcating periodic solution is obtained. We also found that the spatiotemporal patterns of bifurcating periodic oscillations alternate according to the change of the propagation time delay in the coupling; that is, different ranges of delays correspond to different patterns of neural network oscillators. The oscillations of corresponding neurons in the two loops can be in phase, antiphase, , or periods out of phase depending on the delay. Some numerical simulations support our analysis results. Baodong Zheng and Haidong Yin Copyright © 2014 Baodong Zheng and Haidong Yin. All rights reserved. Agent Based Simulation of Group Emotions Evolution and Strategy Intervention in Extreme Events Sun, 28 Dec 2014 07:15:27 +0000 http://www.hindawi.com/journals/ddns/2014/464190/ Agent based simulation method has become a prominent approach in computational modeling and analysis of public emergency management in social science research. The group emotions evolution, information diffusion, and collective behavior selection make extreme incidents studies a complex system problem, which requires new methods for incidents management and strategy evaluation. This paper studies the group emotion evolution and intervention strategy effectiveness using agent based simulation method. By employing a computational experimentation methodology, we construct the group emotion evolution as a complex system and test the effects of three strategies. In addition, the events-chain model is proposed to model the accumulation influence of the temporal successive events. Each strategy is examined through three simulation experiments, including two make-up scenarios and a real case study. We show how various strategies could impact the group emotion evolution in terms of the complex emergence and emotion accumulation influence in extreme events. This paper also provides an effective method of how to use agent-based simulation for the study of complex collective behavior evolution problem in extreme incidents, emergency, and security study domains. Bo Li, Duoyong Sun, Shuquan Guo, and Zihan Lin Copyright © 2014 Bo Li et al. All rights reserved. On the Impulsive Synchronization Control for a Class of Chaotic Systems Sun, 28 Dec 2014 00:10:26 +0000 http://www.hindawi.com/journals/ddns/2014/675721/ The problem on chaos synchronization for a class of chaotic system is addressed. Based on impulsive control theory and by constructing a novel Lyapunov functional, new impulsive synchronization strategies are presented and possess more practical application value. Finally some typical numerical simulation examples are included to demonstrate the effectiveness of the theoretical results. Bo Wang, Peng Shi, and Xiucheng Dong Copyright © 2014 Bo Wang et al. All rights reserved.