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Citations to this Journal [3,190 citations: 301–400 of 2,211 articles]

Articles published in Discrete Dynamics in Nature and Society have been cited 3,190 times. The following is a list of the 2,211 articles that have cited the articles published in Discrete Dynamics in Nature and Society.

  • Brooke C. Snyder, Robert A. Van Gorder, and K. Vajravelu, “Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists,” Applied Mathematics and Computation, vol. 219, no. 12, pp. 6400–6409, 2013. View at Publisher · View at Google Scholar
  • Stevo Stevic, “On a solvable system of difference equations of kth order,” Applied Mathematics and Computation, vol. 219, no. 14, pp. 7765–7771, 2013. View at Publisher · View at Google Scholar
  • Stevo Stevic, “On a symmetric system of max-type difference equations,” Applied Mathematics and Computation, vol. 219, no. 15, pp. 8407–8412, 2013. View at Publisher · View at Google Scholar
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  • Zhaozhi Ma, Fengde Chen, Chengqiang Wu, and Wanlin Chen, “Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a p rey refuge and predator mutual interference,” Applied Mathematics and Computation, vol. 219, no. 15, pp. 7945–7953, 2013. View at Publisher · View at Google Scholar
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  • M. De la Sen, and A. Ibeas, “Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems,” Applied Mathematics and Computation, 2013. View at Publisher · View at Google Scholar
  • Sayan Mukherjee, Sanjay Kumar Palit, and D.K. Bhattacharya, “Is one dimensional Poincaré map sufficient to describe the chaotic dynamics of a three dimensional system?,” Applied Mathematics and Computation, 2013. View at Publisher · View at Google Scholar
  • Stevo Stević, Mohammed A. Alghamdi, Abdullah Alotaibi, and Naseer Shahzad, “On a nonlinear second order system of difference equations,” Applied Mathematics and Computation, vol. 219, no. 24, pp. 11388–11394, 2013. View at Publisher · View at Google Scholar
  • Stevo Stević, “Domains of undefinable solutions of some equations and systems of difference equations,” Applied Mathematics and Computation, vol. 219, no. 24, pp. 11206–11213, 2013. View at Publisher · View at Google Scholar
  • Daniel W. Cranston, and Candace M. Kent, “On the boundedness of positive solutions of the reciprocal max-type difference equation with periodic parameters,” Applied Mathematics and Computation, vol. 221, pp. 144–151, 2013. View at Publisher · View at Google Scholar
  • Roberto Dieci, and Frank Westerhoff, “On the inherent instability of international financial markets: natural nonlinear interactions between stock and foreign exchange markets,” Applied Mathematics and Computation, vol. 221, pp. 306–328, 2013. View at Publisher · View at Google Scholar
  • Khalid Hattaf, Noura Yousfi, and Abdessamad Tridane, “Stability analysis of a virus dynamics model with general incidence rate and two delays,” Applied Mathematics and Computation, vol. 221, pp. 514–521, 2013. View at Publisher · View at Google Scholar
  • Chenquan Gan, Xiaofan Yang, Wanping Liu, Qingyi Zhu, and Xulong Zhang, “An epidemic model of computer viruses with vaccination and generalized nonlinear incidence rate,” Applied Mathematics and Computation, vol. 222, pp. 265–274, 2013. View at Publisher · View at Google Scholar
  • Yuanyuan Wang, and Xiaohua Ding, “Dynamics of numerical discretization in a delayed diffusive Nicholson’s blowflies equation,” Applied Mathematics and Computation, vol. 222, pp. 589–603, 2013. View at Publisher · View at Google Scholar
  • F. Toutounian, and E. Tohidi, “A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis,” Applied Mathematics and Computation, vol. 223, pp. 298–310, 2013. View at Publisher · View at Google Scholar
  • Josefa Caballero, and Kishin Sadarangani, “Solvability of a fractional hybrid initial value problem with supremum by u sing measures of noncompactness in Banach algebras,” Applied Mathematics and Computation, vol. 224, pp. 553–563, 2013. View at Publisher · View at Google Scholar
  • Mujeeb ur Rehman, and Paul W. Eloe, “Existence and uniqueness of solutions for impulsive fractional differential equations,” Applied Mathematics and Computation, vol. 224, pp. 422–431, 2013. View at Publisher · View at Google Scholar
  • Debaldev Jana, “Chaotic dynamics of a discrete predator–prey system with prey refuge,” Applied Mathematics and Computation, vol. 224, pp. 848–865, 2013. View at Publisher · View at Google Scholar
  • Kwang Sung Lee, and Abid Ali Lashari, “Stability analysis and optimal control of pine wilt disease with horizontal transmission in vector population,” Applied Mathematics and Computation, 2013. View at Publisher · View at Google Scholar
  • Chuanxi Qian, “Global attractivity of periodic solutions in a higher order difference equa tion,” Applied Mathematics Letters, vol. 26, no. 5, pp. 578–583, 2013. View at Publisher · View at Google Scholar
  • J.S. Armand Eyebe Fouda, J. Yves Effa, Martin Kom, and Maaruf Ali, “The three-state test for chaos detection in discrete maps,” Applied Soft Computing, 2013. View at Publisher · View at Google Scholar
  • Xueyan Zhao, and Feiqi Deng, “Moment stability of nonlinear discrete stochastic systems with time-delays based on -representation technique,” Automatica, 2013. View at Publisher · View at Google Scholar
  • A. G. Butkovskii, S. S. Postnov, and E. A. Postnova, “Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation,” Automation and Remote Control, vol. 74, no. 4, pp. 543–574, 2013. View at Publisher · View at Google Scholar
  • Emmanuel M. Pothos, and Jerome R. Busemeyer, “Quantum principles in psychology: The debate, the evidence, and the future,” Behavioral and Brain Sciences, vol. 36, no. 3, pp. 310–327, 2013. View at Publisher · View at Google Scholar
  • T.K. Kar, and Soovoojeet Jana, “A theoretical study on mathematical modelling of an infectious disease with application of optimal control,” Biosystems, vol. 111, no. 1, pp. 37–50, 2013. View at Publisher · View at Google Scholar
  • Qing Yao, Qingjie Liu, Thomas G. Dietterich, Sinisa Todorovic, Jeffrey Lin, Guangqiang Diao, Baojun Yang, and Jian Tang, “Segmentation of touching insects based on optical flow and NCuts,” Biosystems Engineering, vol. 114, no. 2, pp. 67–77, 2013. View at Publisher · View at Google Scholar
  • Jun H. Tong, Jiang B. Li, and Huan Y. Jiang, “Machine vision techniques for the evaluation of seedling quality based on leaf area,” Biosystems Engineering, 2013. View at Publisher · View at Google Scholar
  • Hassan Jolany, Serkan Araci, Mehmet Acikgoz, and Jong-Jin Seo, “A note on the generalized q-Genocchi measures with weight α,” Boletim da Sociedade Paranaense de Matematica, vol. 31, no. 1, pp. 17–27, 2013. View at Publisher · View at Google Scholar
  • Wenjing Song, “Existence of solutions for nonlocal p-Laplacian thermistor problems on time scales,” Boundary Value Problems, 2013. View at Publisher · View at Google Scholar
  • Lu Sun, and Changjun Li, “A note on blow-up of solutions for the nonlocal quasilinear parabolic equat ion with positive initial energy,” Boundary Value Problems, 2013. View at Publisher · View at Google Scholar
  • Jan Andres, Luisa Malaguti, and Martina Pavlacková, “Dirichlet problem in Banach spaces: the bound sets approach,” Boundary Value Problems, vol. 2013, no. 1, pp. 25, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Ozgur Yildirim, “On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes,” Boundary Value Problems, vol. 2013, no. 1, pp. 29, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, “Well-posedness of fractional parabolic equations,” Boundary Value Problems, vol. 2013, no. 1, pp. 31, 2013. View at Publisher · View at Google Scholar
  • Mehmet Acikgoz, and Kyoung Ho Park, “A NOTE ON THE q-ANALOGUE OF KIM'S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATE D WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT alpha,” Bulletin Of The Korean Mathematical Society, vol. 50, no. 2, pp. 583–588, 2013. View at Publisher · View at Google Scholar
  • J. A. Tenreiro Machado, and Sharif F. Zaman, “Fractional order modelling of zero length column desorption response for ad sorbents with variable particle sizes,” Central European Journal of Physics, vol. 11, no. 6, pp. 881–885, 2013. View at Publisher · View at Google Scholar
  • Yuri Luchko, “Riemann-Liouville and Caputo type multiple Erdelyi-Kober operators,” Central European Journal of Physics, vol. 11, no. 10, pp. 1314–1336, 2013. View at Publisher · View at Google Scholar
  • Junwei Wang, and Yun Zhang, “Robust projective outer synchronization of coupled uncertain fractional-order complex networks,” Central European Journal of Physics, 2013. View at Publisher · View at Google Scholar
  • J. C. Sprott, “Simple chaotic flows with a line equilibrium,” Chaos Solitons & Fractals, vol. 57, pp. 79–84, 2013. View at Publisher · View at Google Scholar
  • Li-Ming Cai, Xue-Zhi Li, and Zhaoqiang Li, “Dynamical behavior of an epidemic model for a vector-borne disease with direct transmission,” Chaos, Solitons & Fractals, vol. 46, pp. 54–64, 2013. View at Publisher · View at Google Scholar
  • Yanguang Chen, “Fractal analytical approach of urban form based on spatial correlation function,” Chaos, Solitons & Fractals, vol. 49, pp. 47–60, 2013. View at Publisher · View at Google Scholar
  • Luciano Fanti, Luca Gori, Cristiana Mammana, and Elisabetta Michetti, “The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics,” Chaos, Solitons & Fractals, vol. 52, pp. 73–86, 2013. View at Publisher · View at Google Scholar
  • Yanguang Chen, “A set of formulae on fractal dimension relations and its application to urban form,” Chaos, Solitons & Fractals, vol. 54, pp. 150–158, 2013. View at Publisher · View at Google Scholar
  • A. V. Shabunin, “Controlling phase multistability in coupled period-doubling oscillators,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 23, no. 1, pp. 013102, 2013. View at Publisher · View at Google Scholar
  • José L. Ramírez, “Incomplete -Fibonacci and -Lucas Numbers,” Chinese Journal of Mathematics, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • M. Kapitaniak, P. Perlikowski, and T. Kapitaniak, “Synchronous motion of two vertically excited planar elastic pendula,” Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 8, pp. 2088–2096, 2013. View at Publisher · View at Google Scholar
  • Junfeng Zhang, Zhengzhi Han, and Jun Huang, “Homogeneous feedback design of differential inclusions based on control Lyapunov functions,” Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 10, pp. 2790–2800, 2013. View at Publisher · View at Google Scholar
  • Jingyi Wang, Chen Xu, and Yi Zhao, “Exponential synchronization of stochastic perturbed complex networks with t ime-varying delays via periodically intermittent pinning,” Communications In Nonlinear Science And Numerical Simulation, vol. 18, no. 11, pp. 3146–3157, 2013. View at Publisher · View at Google Scholar
  • Jiqiang Jiang, Lishan Liu, and Yonghong Wu, “Positive solutions to singular fractional differential system with coupled boundary conditions,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Shouming Zhong, and Xiongrui Wang, “Stochastic stability criteria with LMI conditions for Markovian jumping impulsive BAM neural networks with mode-dependent time-varying delays and nonlinear reaction-diffusion,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Chenquan Gan, Xiaofan Yang, Wanping Liu, and Qingyi Zhu, “A propagation model of computer virus with nonlinear vaccination probability,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Xinsong Yang, Zhichun Yang, and Xiaobing Nie, “Exponential synchronization of discontinuous chaotic systems via delayed impulsive control and its application to secure communication,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Lu-Xing Yang, and Xiaofan Yang, “A new epidemic model of computer viruses,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Serkan Araci, Mehmet Acikgoz, and Aynur Gursul, “ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS,” Communications of the Korean Mathematical Society, vol. 28, no. 3, pp. 457–462, 2013. View at Publisher · View at Google Scholar
  • I. Yanti, W. M. Kusumawinahyu, and I. Darti, “Dynamically consistent discrete epidemic model with modified saturated inci dence rate,” Computational & Applied Mathematics, vol. 32, no. 2, pp. 373–383, 2013. View at Publisher · View at Google Scholar
  • Nancy López Reyes, Raúl Felipe, and Tovias Castro Polo, “The discrete KP hierarchy and the negative power series on the complex plane,” Computational and Applied Mathematics, 2013. View at Publisher · View at Google Scholar
  • R. M. Abukwaik, and E. O. Alzahrani, “Global Stability of HIV Infection of CD4(+) T Cells and Macrophages with CT L Immune Response and Distributed Delays,” Computational and Mathematical Methods in Medicine, 2013. View at Publisher · View at Google Scholar
  • Marius-F. Danca, Roberto Garrappa, Wallace K.S. Tang, and Guanrong Chen, “Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching,” Computers & Mathematics with Applications, 2013. View at Publisher · View at Google Scholar
  • Qingxu Huang, Dawn C. Parker, Shipeng Sun, and Tatiana Filatova, “Effects of agent heterogeneity in the presence of a land-market: A systematic test in an agent-based laboratory,” Computers, Environment and Urban Systems, vol. 41, pp. 188–203, 2013. View at Publisher · View at Google Scholar
  • Fabio Tramontana, Frank Westerhoff, and Laura Gardini, “One-dimensional maps with two discontinuity points and three linear branches: mathematical lessons for understanding the dynamics of financial markets,” Decisions in Economics and Finance, 2013. View at Publisher · View at Google Scholar
  • Qiang Yan, Lian-Ren Wu, and Lan Zheng, “Research on user behavior characters and mechanism in microblog communities,” Dianzi Keji Daxue Xuebao/Journal of the University of Electronic Science and Technology of China, vol. 42, no. 3, pp. 328–333, 2013. View at Publisher · View at Google Scholar
  • F. F. Ivanauskas, Yu. A. Novitski, and M. P. Sapagovas, “On the stability of an explicit difference scheme for hyperbolic equations with nonlocal boundary conditions,” Differential Equations, vol. 49, no. 7, pp. 849–856, 2013. View at Publisher · View at Google Scholar
  • V. M. Marchenko, “Observability of hybrid discrete-continuous systems,” Differential Equations, vol. 49, no. 11, pp. 1389–1404, 2013. View at Publisher · View at Google Scholar
  • Khalid Hattaf, Noura Yousfi, and Abdessamad Tridane, “A Delay Virus Dynamics Model with General Incidence Rate,” Differential Equations and Dynamical Systems, 2013. View at Publisher · View at Google Scholar
  • Evelyn Buckwar, and Girolama Notarangelo, “A note on the analysis of asymptotic mean-square stability properties for systems of linear stochastic delay differential equations,” Discrete and Continuous Dynamical Systems - Series B, vol. 18, no. 6, pp. 1521–1531, 2013. View at Publisher · View at Google Scholar
  • Yanli Zhu, and Yuangong Sun, “Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Moulay Rchid Sidi Ammi, and Delfim F. M. Torres, “Existence of Three Positive Solutions to Some p-Laplacian Boundary Value Problems,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–12, 2013. View at Publisher · View at Google Scholar
  • Xinsong Yang, and Jinde Cao, “Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Banyat Sroysang, “Dynamics of a System of Rational Higher-Order Difference Equation,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–5, 2013. View at Publisher · View at Google Scholar
  • Hn Wang Hanning, Jiulin Yang, Lili Wei, and Jl Jia Chaolong, “Efficient Processing of Continuous Skyline Query over Smarter Traffic Data Stream for Cloud Computing,” Discrete Dynamics in Nature and Society, 2013. View at Publisher · View at Google Scholar
  • Jianguo Ren, Yonghong Xu, and Chunming Zhang, “Optimal Control of a Delay-Varying Computer Virus Propagation Model,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Aiting Shen, and Ranchao Wu, “Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Zhengyu Xie, Limin Jia, Yong Qin, and Li Wang, “A Hybrid Temporal-Spatio Forecasting Approach for Passenger Flow Status in Chinese High-Speed Railway Transport Hub,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • A. M. Elaiw, and A. S. Alsheri, “Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Hongwu Wang, and Junhai Ma, “Complexity Analysis of a Cournot-Bertrand Duopoly Game Model with Limited Information,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Bin Chen, “Some Local Properties of Soft Semi-Open Sets,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
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  • Shu-Min Guo, Xue-Zhi Li, and Mini Ghosh, “Analysis of a Dengue Disease Model with Nonlinear Incidence,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • S. Udpin, and P. Niamsup, “Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–4, 2013. View at Publisher · View at Google Scholar
  • Jiangbin Chen, and Shengbin Yu, “Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
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  • Changjin Xu, and Yusen Wu, “Permanence in a Discrete Mutualism Model with Infinite Deviating Arguments and Feedback Controls,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
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  • Baogui Xin, and Yuting Li, “Bifurcation and Chaos in a Price Game of Irrigation Water in a Coastal Irrigation District,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • L. J. Ontañón-García, and E. Campos-Cantón, “Discrete Coupling and Synchronization in the Insulin Release in the Mathematical Model of the Cells,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Fangyan Yang, Song Tang, and Guilan Xu, “Horseshoe Chaos in a 3D Neural Network with Different Activation Functions,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
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