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Discrete Dynamics in Nature and Society

1997 - 2025

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Volume 2009, month December, 2009

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay pp. 1-12 Downloads
Xiaoli Sun and Xiaodi Li
Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator pp. 1-11 Downloads
Bin Zhang, Shuai Shi and Woye Liu
Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays pp. 1-18 Downloads
Chuangxia Huang, Xinsong Yang and Yigang He
Multiple Positive Symmetric Solutions to -Laplacian Dynamic Equations on Time Scales pp. 1-27 Downloads
You-Hui Su and Can-Yun Huang
Bounds for Certain Nonlinear Dynamic Inequalities on Time Scales pp. 1-14 Downloads
Wei Nian Li and Maoan Han
New Results on Passivity Analysis of Delayed Discrete-Time Stochastic Neural Networks pp. 1-17 Downloads
Jianjiang Yu

Volume 2009, month November, 2009

Inverse Eigenvalue Problem of Unitary Hessenberg Matrices pp. 1-11 Downloads
Chunhong Wu and Linzhang Lu
Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions pp. 1-11 Downloads
Meili Li and Chunhai Kou
K-nacci Sequences in Finite Triangle Groups pp. 1-10 Downloads
Erdal Karaduman and Ömür Deveci
Dynamical Analysis of DTNN with Impulsive Effect pp. 1-12 Downloads
Chao Chen, Zhenkun Huang, Honghua Bin and Xiaohui Liu
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation pp. 1-12 Downloads
Zongqi Liang and Huashui Zhan
Cooperative Bacterial Foraging Optimization pp. 1-17 Downloads
Hanning Chen, Yunlong Zhu and Kunyuan Hu
Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate pp. 1-13 Downloads
Sanling Yuan and Bo Li
A Recurrence Formula for ð · Numbers ð · ( 2 ð ‘› − 1 ) 2 ð ‘› pp. 1-6 Downloads
Guodong Liu
Existence of Three Positive Solutions for -Point Discrete Boundary Value Problems with -Laplacian pp. 1-15 Downloads
Yanping Guo, Wenying Wei and Yuerong Chen
Isometries of a Bergman-Privalov-Type Space on the Unit Ball pp. 1-16 Downloads
Stevo Stević and Sei-Ichiro Ueki
Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay pp. 1-16 Downloads
Zhixiang Yu and Zhong Li
Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls pp. 1-19 Downloads
Ling Zhang, Zhidong Teng, Tailei Zhang and Shujing Gao
Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane pp. 1-34 Downloads
M. Garić-Demirović, M. R. S. Kulenović and M. Nurkanović
On Exponential Dichotomy of Variational Difference Equations pp. 1-18 Downloads
Bogdan Sasu

Volume 2009, month October, 2009

Existence of Solutions for a Nonlinear Algebraic System pp. 1-28 Downloads
Guang Zhang and Liang Bai
Permanence of a Discrete Nonlinear Prey-Competition System with Delays pp. 1-15 Downloads
Hongying Lu
Successive Iteration and Positive Solutions for Nonlinear -Point Boundary Value Problems on Time Scales pp. 1-13 Downloads
Yanbin Sang
Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence pp. 1-17 Downloads
Xiaohong Tian and Rui Xu
Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator pp. 1-24 Downloads
Xiao Zhang, Rui Xu and Qintao Gan
Novel Criteria on Global Robust Exponential Stability to a Class of Reaction-Diffusion Neural Networks with Delays pp. 1-14 Downloads
Jie Pan and Shouming Zhong
Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay pp. 1-14 Downloads
Chien-Yu Lu, Chin-Wen Liao and Hsun-Heng Tsai
Composition Operators from the Weighted Bergman Space to the ð ‘› th Weighted Spaces on the Unit Disc pp. 1-11 Downloads
Stevo Stević
Minimizing Total Weighted Completion Time on Single Machine with Past-Sequence-Dependent Setup Times and Exponential Time-Dependent and Position-Dependent Learning Effects pp. 1-10 Downloads
Kaibiao Sun and Hongxing Li
On a Generalized Discrete Ratio-Dependent Predator-Prey System pp. 1-22 Downloads
Yong-Hong Fan and Lin-Lin Wang
Application of Symbolic Computation in Nonlinear Differential-Difference Equations pp. 1-8 Downloads
Fuding Xie, Zhen Wang and Min Ji
Arithmetic Identities Involving Genocchi and Stirling Numbers pp. 1-8 Downloads
Guodong Liu
Nonexistence and Radial Symmetry of Positive Solutions of Semilinear Elliptic Systems pp. 1-8 Downloads
Zhengce Zhang and Liping Zhu
Spectrum and Generation of Solutions of the Toda Lattice pp. 1-12 Downloads
D. Barrios Rolanía and J. R. Gascón Márquez
Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales pp. 1-12 Downloads
Zhenjie Liu

Volume 2009, month September, 2009

Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales pp. 1-18 Downloads
Yongkun Li, Lili Zhao and Ping Liu
Did Bank Capital Regulation Exacerbate the Subprime Mortgage Crisis? pp. 1-34 Downloads
M. A. Petersen, M. C. Senosi, J. Mukuddem-Petersen, M. P. Mulaudzi and I. M. Schoeman
Pyramidal Watershed Segmentation Algorithm for High-Resolution Remote Sensing Images Using Discrete Wavelet Transforms pp. 1-11 Downloads
K. Parvathi, B. S. Prakasa Rao, M. Mariya Das and T. V. Rao
On Some Properties of Focal Points pp. 1-11 Downloads
M. R. Ferchichi and I. Djellit
An Evolutionary Formulation of the Crossing Number Problem pp. 1-10 Downloads
Che Sheng Gan, Wee Chiat Alan Tan, Voon Chet Koo and Kwang Hwai Mak
Feedback Control Variables Have No Influence on the Permanence of a Discrete -Species Cooperation System pp. 1-10 Downloads
Liujuan Chen, Xiangdong Xie and Lijuan Chen

Volume 2009, month August, 2009

Periodic Solutions and Exponential Stability of a Class of Neural Networks with Time-Varying Delays pp. 1-14 Downloads
Yingxin Guo and Mingzhi Xue
Triple Positive Solutions for Third-Order -Point Boundary Value Problems on Time Scales pp. 1-15 Downloads
Jian Liu and Fuyi Xu
Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation pp. 1-15 Downloads
Allaberen Ashyralyev and Ali Sirma
Global Dynamics of Discrete Competitive Models with Large Intrinsic Growth Rates pp. 1-15 Downloads
Chunqing Wu and Jing-an Cui
Global Asymptotic Stability for a Fourth-Order Rational Difference Equation pp. 1-7 Downloads
Meseret Tuba Gülpinar and Mustafa Bayram
Impulsivity in Binary Choices and the Emergence of Periodicity pp. 1-22 Downloads
Gian Italo Bischi, Laura Gardini and Ugo Merlone
Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix pp. 1-10 Downloads
Jun Li, Yongfeng Diao, Mingdong Li and Xing Yin
Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball pp. 1-21 Downloads
Stevo Stević and Sei-Ichiro Ueki
Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects pp. 1-20 Downloads
Chang-you Wang, Shu Wang and Xiang-ping Yan
Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays pp. 1-20 Downloads
Quanxin Zhu and Jinde Cao

Volume 2009, month July, 2009

Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales pp. 1-17 Downloads
You-Hui Su and Wan-Tong Li
Permanence and Global Stability of Positive Periodic Solutions of a Discrete Competitive System pp. 1-13 Downloads
Wenjie Qin, Zhijun Liu and Yiping Chen
The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets pp. 1-30 Downloads
Fabio Tramontana, Laura Gardini, Roberto Dieci and Frank Westerhoff
The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence pp. 1-18 Downloads
Juping Zhang, Zhen Jin, Yakui Xue and Youwen Li
New Improved Exponential Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay pp. 1-23 Downloads
Zixin Liu, Shu Lv, Shouming Zhong and Mao Ye
On the Solutions of the System of Difference Equations x n + 1 = max { A / x n, y n / x n }, y n + 1 = max { A / y n, x n / y n } pp. 1-11 Downloads
Dağistan Simsek, Bilal Demir and Cengiz Cinar
On the Recursive Sequence pp. 1-8 Downloads
Fangkuan Sun, Xiaofan Yang and Chunming Zhang
The Average Errors for the Grünwald Interpolation in the Wiener Space pp. 1-12 Downloads
Yingfang Du and Huajie Zhao

Volume 2009, month June, 2009

A General Discrete Time Model of Population Dynamics in the Presence of an Infection pp. 1-15 Downloads
Giuseppe Izzo, Yoshiaki Muroya and Antonia Vecchio
Application of Interval Arithmetic in the Evaluation of Transfer Capabilities by Considering the Sources of Uncertainty pp. 1-12 Downloads
Prabha Umapathy, C. Venkataseshaiah and M. Senthil Arumugam
On the Convergence of Solutions of Certain Third-Order Differential Equations pp. 1-12 Downloads
Ercan Tunç
On Dichotomous Behavior of Variational Difference Equations and Applications pp. 1-16 Downloads
Bogdan Sasu
Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response pp. 1-17 Downloads
Runxin Wu and Lin Li
A Discrete Heterogeneous-Group Economic Growth Model with Endogenous Leisure Time pp. 1-17 Downloads
Wei-Bin Zhang
Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control pp. 1-28 Downloads
M. De la Sen and A. Ibeas

Volume 2009, month May, 2009

Strong Laws of Large Numbers for 𝔹 -Valued Random Fields pp. 1-12 Downloads
Zbigniew A. Lagodowski

Volume 2009, month April, 2009

Solutions for -Point BVP with Sign Changing Nonlinearity pp. 1-14 Downloads
Hua Su
On the Global Attractivity of a Max-Type Difference Equation pp. 1-5 Downloads
Ali Gelişken and Cengiz Çinar
Permanence of a Discrete Periodic Volterra Model with Mutual Interference pp. 1-9 Downloads
Lijuan Chen and Liujuan Chen
Periodic Solutions for a System of Difference Equations pp. 1-9 Downloads
Shugui Kang and Bao Shi
Convergence of Batch Split-Complex Backpropagation Algorithm for Complex-Valued Neural Networks pp. 1-16 Downloads
Huisheng Zhang, Chao Zhang and Wei Wu
Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation pp. 1-20 Downloads
Xiaoqian Cui and Junjie Wei

Volume 2009, month March, 2009

The Volatility of the Index of Shanghai Stock Market Research Based on ARCH and Its Extended Forms pp. 1-9 Downloads
Hao Liu, Zuoquan Zhang and Qin Zhao
An Impulsive Two-Prey One-Predator System with Seasonal Effects pp. 1-19 Downloads
Hunki Baek
Existence of Positive Solutions for -Point Boundary Value Problems on Time Scales pp. 1-12 Downloads
Ying Zhang and ShiDong Qiao
A Dynamic Economic Model with Discrete Time and Consumer Sentiment pp. 1-18 Downloads
Loretti Dobrescu, M. Neamţu, A. L. Ciurdariu and D. Opriş
The Generalized Julia Set Perturbed by Composing Additive and Multiplicative Noises pp. 1-18 Downloads
Xingyuan Wang, Ruihong Jia and Yuanyuan Sun
Boundedness, Attractivity, and Stability of a Rational Difference Equation with Two Periodic Coefficients pp. 1-23 Downloads
G. Papaschinopoulos, G. Stefanidou and C. J. Schinas

Volume 2009, month February, 2009

Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations pp. 1-10 Downloads
G. H. Erjaee and M. Alnasr
Simple-Zero and Double-Zero Singularities of a Kaldor-Kalecki Model of Business Cycles with Delay pp. 1-29 Downloads
Xiaoqin P. Wu
A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey pp. 1-15 Downloads
Jianwen Jia and Chunhua Li
Dynamics of a Stage Structure Pest Control Model with Impulsive Effects at Different Fixed Time pp. 1-15 Downloads
Bing Liu, Ying Duan and Yinghui Gao
The Application of SVMs Method on Exchange Rates Fluctuation pp. 1-8 Downloads
Zuoquan Zhang and Qin Zhao
Chaos and Control of Game Model Based on Heterogeneous Expectations in Electric Power Triopoly pp. 1-8 Downloads
Weizhuo Ji
Global Dynamics Behaviors of Viral Infection Model for Pest Management pp. 1-16 Downloads
Chunjin Wei and Lansun Chen
Coupling Patterns of External Arguments in the Multiple-Spiral Medallions of the Mandelbrot Set pp. 1-14 Downloads
M. Romera, G. Pastor, A. B. Orue, D. Arroyo and F. Montoya
Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density pp. 1-14 Downloads
Weihong Huang
Multiple Positive Periodic Solutions for Delay Differential System pp. 1-18 Downloads
Zhao-Cai Hao, Ti-Jun Xiao and Jin Liang

Volume 2009, month January, 2009

Large Time-Stepping Spectral Methods for the Semiclassical Limit of the Defocusing Nonlinear Schrödinger Equation pp. 1-27 Downloads
Zongqi Liang
Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation pp. 1-14 Downloads
Tieshan He and Fengjian Yang
Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity pp. 1-16 Downloads
Huiling Wu and Fengde Chen
Research of Financial Early-Warning Model on Evolutionary Support Vector Machines Based on Genetic Algorithms pp. 1-8 Downloads
Zuoquan Zhang, Fan Lang and Qin Zhao
Locally Linear Discriminate Embedding for Face Recognition pp. 1-8 Downloads
Eimad E. Abusham and E. K. Wong
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