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Discrete Dynamics in Nature and Society

1997 - 2025

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Volume 2007, month December, 2007

Stability of a Second Order of Accuracy Difference Scheme for Hyperbolic Equation in a Hilbert Space pp. 1-25 Downloads
Allaberen Ashyralyev and Mehmet Emir Koksal
Existence of Positive Solutions for a Discrete Three-Point Boundary Value Problem pp. 1-14 Downloads
Huting Yuan, Guang Zhang and Hongliang Zhao
Operating with External Arguments of Douady and Hubbard pp. 1-17 Downloads
G. Pastor, M. Romera, G. Alvarez, J. Nunez, D. Arroyo and F. Montoya
On a Discrete Epidemic Model pp. 1-10 Downloads
Stevo Stevic

Volume 2007, month November, 2007

Discrete Stochastic Dynamics of Income Inequality in Education: An Applied Stochastic Model and a Case Study pp. 1-15 Downloads
Ahmet Kara

Volume 2007, month October, 2007

Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time pp. 1-8 Downloads
Michael Gil' and Sui Sun Cheng
Perron-Type Criterion for Linear Difference Equations with Distributed Delay pp. 1-12 Downloads
Jehad O. Alzabut and Thabet Abdeljawad

Volume 2007, month September, 2007

Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays pp. 1-17 Downloads
Xiaofeng Liao and Songtao Guo
Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses pp. 1-15 Downloads
Weibing Wang, Jianhua Shen and Juan J. Nieto

Volume 2007, month August, 2007

A Global Convergence Result for a Higher Order Difference Equation pp. 1-7 Downloads
Bratislav D. Iricanin
Whitening of Background Brain Activity via Parametric Modeling pp. 1-11 Downloads
Nidal Kamel, Andrews Samraj and Arash Mousavi
On the Difference Equation x n + 1 = ∑ j = 0 k a j f j ( x n − j ) pp. 1-10 Downloads
Stevo Stevic
Stability of the Positive Point of Equilibrium of Nicholson's Blowflies Equation with Stochastic Perturbations: Numerical Analysis pp. 1-25 Downloads
Nataliya Bradul and Leonid Shaikhet
Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market pp. 1-14 Downloads
Junhai Ma and Lingling Mu
On the Properties of Reachability, Observability, Controllability, and Constructibility of Discrete-Time Positive Time-Invariant Linear Systems with Aperiodic Choice of the Sampling Instants pp. 1-23 Downloads
M. De la Sen

Volume 2007, month June, 2007

Asymptotics of Some Classes of Higher-Order Difference Equations pp. 1-20 Downloads
Stevo Stevic
Efficient Computation of Shortest Paths in Networks Using Particle Swarm Optimization and Noising Metaheuristics pp. 1-25 Downloads
Ammar W. Mohemmed and Nirod Chandra Sahoo
Profitability Analysis of Price-Taking Strategy in Disequilibrium pp. 1-26 Downloads
Weihong Huang
Permanence and Stability of an Age-Structured Prey-Predator System with Delays pp. 1-15 Downloads
Liming Cai, Xuezhi Li, Xinyu Song and Jingyuan Yu

Volume 2007, month April, 2007

On the Study of Chemostat Model with Pulsed Input in a Polluted Environment pp. 1-12 Downloads
Zhong Zhao and Xinyu Song
A Spatially Extended Model for Residential Segregation pp. 1-20 Downloads
Antonio Aguilera and Edgardo Ugalde
Numerical Exploration of Kaldorian Macrodynamics: Hopf-Neimark Bifurcations and Business Cycles with Fixed Exchange Rates pp. 1-16 Downloads
Toichiro Asada, Christos Douskos and Panagiotis Markellos
On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays pp. 1-9 Downloads
Qiang Zhang, Xiaopeng Wei and Jin Xu
Convergence of Weighted Linear Process for Ï -Mixing Random Variables pp. 1-7 Downloads
Guang-Hui Cai
On the Behaviour of the Solutions of a Second-Order Difference Equation pp. 1-14 Downloads
Leonid Gutnik and Stevo Stevic

Volume 2007, month March, 2007

Precise Rates in Log Laws for NA Sequences pp. 1-11 Downloads
Yuexu Zhao
On a Max-Type Difference Equation pp. 1-10 Downloads
I. Yalçinkaya, B. D. Iricanin and C. Çinar
Permanence for a Generalized Discrete Neural Network System pp. 1-9 Downloads
Stevo Stevic

Volume 2007, month February, 2007

Dynamics of a Discretization Physiological Control System pp. 1-16 Downloads
Xiaohua Ding and Huan Su
Asymptotic Periodicity of a Higher-Order Difference Equation pp. 1-9 Downloads
Stevo Stevic
On the Recursive Sequence x n + 1 = A + x n p / x n − 1 p pp. 1-9 Downloads
Stevo Stevic
Dynamics of a Class of Higher Order Difference Equations pp. 1-6 Downloads
Bratislav D. Iricanin
Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control pp. 1-11 Downloads
Zhi-Long Jin
On the Recursive Sequence x n = 1 + ∑ i = 1 k α i x n − p i / ∑ j = 1 m β j x n − q j pp. 1-7 Downloads
Stevo Stevic

Volume 2007, month January, 2007

Trench's Perturbation Theorem for Dynamic Equations pp. 1-11 Downloads
Martin Bohner and Stevo Stevic
Stage-Structured Impulsive S I Model for Pest Management pp. 1-11 Downloads
Ruiqing Shi and Lansun Chen
Harvesting Control for a Stage-Structured Predator-Prey Model with Ivlev's Functional Response and Impulsive Stocking on Prey pp. 1-15 Downloads
Kaiyuan Liu and Lansun Chen
On Global Periodicity of a Class of Difference Equations pp. 1-10 Downloads
Stevo Stevic
Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems pp. 1-10 Downloads
Yanping Guo, Jiehua Zhang and Yude Ji
A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System pp. 1-9 Downloads
Qingdu Li and Xiao-Song Yang
On the Recursive Sequence x n + 1 = A + x n p / x n − 1 r pp. 1-9 Downloads
Stevo Stevic
Stability Analysis of θ -Methods for Neutral Multidelay Integrodifferential System pp. 1-8 Downloads
Y. Xu, J. J. Zhao and Z. N. Sui
Forgery Detection in Dynamic Signature Verification by Entailing Principal Component Analysis pp. 1-8 Downloads
Shohel Sayeed, S. Andrews, Rosli Besar and Loo Chu Kiong
The Effect of Gaussian Blurring on the Extraction of Peaks and Pits from Digital Elevation Models pp. 1-12 Downloads
A. Pathmanabhan and S. Dinesh
A Discrete Two-Sector Economic Growth Model pp. 1-13 Downloads
Wei-Bin Zhang
Strong Laws of Large Numbers for Arrays of Rowwise Ï âˆ— -Mixing Random Variables pp. 1-6 Downloads
Meng-Hu Zhu

Volume 2006, month December, 2006

On periodic orbits in discrete-time cascade systems pp. 1-9 Downloads
Huimin Li and Xiao-Song Yang
A discrete-time interpretation of the Planck-Einstein equation pp. 1-5 Downloads
A. Boyarsky
Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients pp. 1-18 Downloads
Kenneth S. Berenhaut, Edward E. Allen and Sam J. Fraser
Preface to “A discrete-time interpretation of the Planck-Einstein equation” pp. 1-1 Downloads
Vladimir Gontar

Volume 2006, month November, 2006

A short proof of the Cushing-Henson conjecture pp. 1-5 Downloads
Stevo Stevic
Positive solutions of three-point boundary value problems for higher-order p -Laplacian with infinitely many singularities pp. 1-12 Downloads
Fuyi Xu, Yonghong Wu, Lishan Liu and Yunming Zhou
Two periodic solutions of neutral difference equations modelling physiological processes pp. 1-12 Downloads
Jun Wu and Yicheng Liu

Volume 2006, month September, 2006

Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model pp. 1-10 Downloads
Jian Song
Asymptotic behavior of a class of nonlinear difference equations pp. 1-10 Downloads
Stevo Stevic
Moving equilibria in the public health care sector: A low-quality trap and a resolution pp. 1-11 Downloads
Ahmet Kara
Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems pp. 1-15 Downloads
Wan-Tong Li, Can-Yun Huang and Sui Sun Cheng
On boundedness of the solutions of the difference equation x n + 1 = x n − 1 / ( p + x n ) pp. 1-7 Downloads
Taixiang Sun, Hongjian Xi and Hui Wu
Dynamics of markets: Econophysics and finance By Joseph L. McCauley, Cambridge University Press, Cambridge, 2004, 209 + xvi pages, ISBN 0-521-82447-8 pp. 1-7 Downloads
J. Barkley Rosser
Constructing chaotic transformations with closed functional forms pp. 1-16 Downloads
Weihong Huang
Weighted power mean discrete dynamical systems: Fast convergence properties pp. 1-9 Downloads
Francisco J. Solis
Novel, useful, and effective definitions for fuzzy linguistic hedges pp. 1-13 Downloads
Aarthi Chandramohan and M. V. C. Rao
Modeling, description, and characterization of fractal pore via mathematical morphology pp. 1-24 Downloads
Lay Lian Teo and B. S. Daya Sagar
A dynamical model of terrorism pp. 1-32 Downloads
Firdaus Udwadia, George Leitmann and Luca Lambertini

Volume 2006, month August, 2006

One-dimensional and two-dimensional dynamics of cubic maps pp. 1-13 Downloads
Djellit Ilhem and Kara Amel
Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input pp. 1-14 Downloads
Xinyu Song and Zhong Zhao
Adaptive control of time-invariant systems with discrete delays subject to multiestimation pp. 1-27 Downloads
M. De la Sen and S. Alonso
Hypothesis of quantum as a distributed self-organized computation by collective of particles pp. 1-11 Downloads
Pavel V. Kurakin
Rational expectations and the Cournot-Theocharis problem pp. 1-11 Downloads
Tönu Puu
Stability and assignment of spectrum in systems with discrete time lags pp. 1-8 Downloads
M. De la Sen
Equivalence between subshrubs and chaotic bands in the Mandelbrot set pp. 1-25 Downloads
G. Pastor, M. Romera, G. Alvarez, D. Arroyo and F. Montoya
Exponential stability of a kind of stochastic delay difference equations pp. 1-9 Downloads
Xiaohua Ding
Detection of the permutation symmetry in pattern sets pp. 1-12 Downloads
Dong Ji-Yang and Zhang Jun-Ying
On the global behavior of the nonlinear difference equation x n + 1 = f ( p n, x n − m, x n − t ( k + 1 ) + 1 ) pp. 1-12 Downloads
Taixiang Sun and Hongjian Xi
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses pp. 1-19 Downloads
Hai-Feng Huo and Wan-Tong Li

Volume 2006, month July, 2006

Stability of limit cycle in a delayed model for tumor immune system competition with negative immune response pp. 1-13 Downloads
Radouane Yafia
Global stability of Hopfield neural networks under dynamical thresholds with distributed delays pp. 1-11 Downloads
Fei-Yu Zhang and Hai-Feng Huo
A note on discrete-time dynamical systems under periodic perturbation pp. 1-5 Downloads
Huimin Li and Xiaosong Yang
Delay-dependent asymptotic stability for neural networks with time-varying delays pp. 1-25 Downloads
Xiaofeng Liao, Xiaofan Yang and Wei Zhang
On the new quantifiers and their use in multicriteria decision functions via ordered weighted aggregations pp. 1-9 Downloads
Aarthi Chandramohan and M. V. C. Rao
Minimum principle and controllability for multiparameter discrete inclusions via derived cones pp. 1-12 Downloads
Aurelian Cernea
Universality and scaling in networks of period-doubling maps with a pacemaker pp. 1-19 Downloads
Anna S. Ivanova, Sergey P. Kuznetsov and Andrew H. Osbaldestin

Volume 2006, month June, 2006

On the performance of the particle swarm optimization algorithm with various inertia weight variants for computing optimal control of a class of hybrid systems pp. 1-17 Downloads
M. Senthil Arumugam and M. V. C. Rao
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells pp. 1-18 Downloads
Jorge Duarte, Luís Silva and J. Sousa Ramos
Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities pp. 1-18 Downloads
Jin Zhu, Hong-Sheng Xi, Hai-Bo Ji and Bing Wang
Strong law of large numbers for Ï * -mixing sequences with different distributions pp. 1-7 Downloads
Guang-Hui Cai
Multiple positive solutions of Strum-Liouville equations with singularities pp. 1-11 Downloads
Zenggui Wang, Lishan Liu and Yonghong Wu
Existence of positive solutions of PBVPs for first-order difference equations pp. 1-8 Downloads
Yinggao Zhou
A new view on one problem of asymptotic behavior of solutions of delay difference equations pp. 1-16 Downloads
L. Shaikhet
Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation pp. 1-16 Downloads
V. Kardashov, Sh. Einav, Y. Okrent and T. Kardashov
Hopf bifurcation in a delayed model for tumor-immune system competition with negative immune response pp. 1-9 Downloads
Radouane Yafia
Harmless delays in a discrete ratio-dependent periodic predator-prey system pp. 1-21 Downloads
Yong-Hong Fan and Wan-Tong Li
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay pp. 1-12 Downloads
Xiaohua Ding and Wenxue Li
Stabilization criteria for continuous linear time-invariant systems with constant lags pp. 1-19 Downloads
M. De La Sen

Volume 2006, month May, 2006

Estimates of topological entropy of continuous maps with applications pp. 1-10 Downloads
Xiao-Song Yang and Xiaoming Bai
Permanence for a class of nonlinear difference systems pp. 1-10 Downloads
Binxiang Dai and Xingfu Zou
Conjugate gradient algorithm and fractals pp. 1-15 Downloads
Mohamed Lamine Sahari and Ilhem Djellit
On monotone solutions of some classes of difference equations pp. 1-9 Downloads
Stevo Stevic
Some results on cascade discrete-time systems pp. 1-8 Downloads
Xiao-Ming Bai, Hui-Min Li and Xiao-Song Yang
Stability analysis of stochastic Ricker population model pp. 1-13 Downloads
Natali Hritonenko, Alexandra Rodkina and Yuri Yatsenko
Empirical mode decomposition analysis of climate changes with special reference to rainfall data pp. 1-17 Downloads
Md. Khademul Islam Molla, M. Sayedur Rahman, Akimasa Sumi and Pabitra Banik
The Apollonian decay of beer foam bubble size distribution and the lattices of young diagrams and their correlated mixing functions pp. 1-35 Downloads
S. Sauerbrei, E. C. Haß and P. J. Plath
Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays pp. 1-18 Downloads
Xiang-Ping Yan and Wan-Tong Li

Volume 2006, month March, 2006

Investigation of a spatial double pendulum: an engineering approach pp. 1-22 Downloads
S. Bendersky and B. Sandler
Horseshoe in a class of planar mappings pp. 1-10 Downloads
Yan Huang and Xiao-Song Yang
Fractal Newton basins pp. 1-16 Downloads
M. L. Sahari and I. Djellit
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations pp. 1-12 Downloads
Allaberen Ashyralyev and Pavel E. Sobolevskiĭ

Volume 2006, month February, 2006

Existence of positive solutions for certain partial difference equations pp. 1-12 Downloads
Binggen Zhang and Qiuju Xing
Stability results on age-structured SIS epidemic model with coupling impulsive effect pp. 1-11 Downloads
Helong Liu, Houbao Xu, Jingyuan Yu and Guangtian Zhu
Stability and bifurcation in a simplified four-neuron BAM neural network with multiple delays pp. 1-29 Downloads
Xiang-Ping Yan and Wan-Tong Li
Singular boundary value problem on infinite time scale pp. 1-13 Downloads
Zhao-Cai Hao, Jin Liang and Ti-Jun Xiao

Volume 2006, month January, 2006

Linear and nonlinear approach for DEM smoothening pp. 1-10 Downloads
S. Dinesh and P. Radhakrishnan
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