Discrete Dynamics in Nature and Society

1997 - 2025

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Volume 2007, month December, 2007

Operating with External Arguments of Douady and Hubbard pp. 1-17

G. Pastor, M. Romera, G. Alvarez, J. Nunez, D. Arroyo and F. Montoya

Stability of a Second Order of Accuracy Difference Scheme for Hyperbolic Equation in a Hilbert Space pp. 1-25

Allaberen Ashyralyev and Mehmet Emir Koksal

Existence of Positive Solutions for a Discrete Three-Point Boundary Value Problem pp. 1-14

Huting Yuan, Guang Zhang and Hongliang Zhao

On a Discrete Epidemic Model pp. 1-10

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

Ahmet Kara

Volume 2007, month October, 2007

Perron-Type Criterion for Linear Difference Equations with Distributed Delay pp. 1-12

Jehad O. Alzabut and Thabet Abdeljawad

Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time pp. 1-8

Michael Gil' and Sui Sun Cheng

Volume 2007, month September, 2007

Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays pp. 1-17

Xiaofeng Liao and Songtao Guo

Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses pp. 1-15

Weibing Wang, Jianhua Shen and Juan J. Nieto

Volume 2007, month August, 2007

On the Difference Equation x n + 1 = ∑ j = 0 k a j f j ( x n − j ) pp. 1-10

Stevo Stevic

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

M. De la Sen

A Global Convergence Result for a Higher Order Difference Equation pp. 1-7

Bratislav D. Iricanin

Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market pp. 1-14

Junhai Ma and Lingling Mu

Whitening of Background Brain Activity via Parametric Modeling pp. 1-11

Nidal Kamel, Andrews Samraj and Arash Mousavi

Stability of the Positive Point of Equilibrium of Nicholson's Blowflies Equation with Stochastic Perturbations: Numerical Analysis pp. 1-25

Nataliya Bradul and Leonid Shaikhet

Volume 2007, month June, 2007

Permanence and Stability of an Age-Structured Prey-Predator System with Delays pp. 1-15

Liming Cai, Xuezhi Li, Xinyu Song and Jingyuan Yu

Profitability Analysis of Price-Taking Strategy in Disequilibrium pp. 1-26

Weihong Huang

Efficient Computation of Shortest Paths in Networks Using Particle Swarm Optimization and Noising Metaheuristics pp. 1-25

Ammar W. Mohemmed and Nirod Chandra Sahoo

Asymptotics of Some Classes of Higher-Order Difference Equations pp. 1-20

Stevo Stevic

Volume 2007, month April, 2007

Convergence of Weighted Linear Process for Ï -Mixing Random Variables pp. 1-7

Guang-Hui Cai

On the Behaviour of the Solutions of a Second-Order Difference Equation pp. 1-14

Leonid Gutnik and Stevo Stevic

Numerical Exploration of Kaldorian Macrodynamics: Hopf-Neimark Bifurcations and Business Cycles with Fixed Exchange Rates pp. 1-16

Toichiro Asada, Christos Douskos and Panagiotis Markellos

A Spatially Extended Model for Residential Segregation pp. 1-20

Antonio Aguilera and Edgardo Ugalde

On the Study of Chemostat Model with Pulsed Input in a Polluted Environment pp. 1-12

Zhong Zhao and Xinyu Song

On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays pp. 1-9

Qiang Zhang, Xiaopeng Wei and Jin Xu

Volume 2007, month March, 2007

Permanence for a Generalized Discrete Neural Network System pp. 1-9

Stevo Stevic

Precise Rates in Log Laws for NA Sequences pp. 1-11

Yuexu Zhao

On a Max-Type Difference Equation pp. 1-10

I. Yalçinkaya, B. D. Iricanin and C. Çinar

Volume 2007, month February, 2007

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

Stevo Stevic

Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control pp. 1-11

Zhi-Long Jin

Dynamics of a Discretization Physiological Control System pp. 1-16

Xiaohua Ding and Huan Su

Dynamics of a Class of Higher Order Difference Equations pp. 1-6

Bratislav D. Iricanin

Asymptotic Periodicity of a Higher-Order Difference Equation pp. 1-9

Stevo Stevic

On the Recursive Sequence x n + 1 = A + x n p / x n − 1 p pp. 1-9

Stevo Stevic

Volume 2007, month January, 2007

Stability Analysis of θ -Methods for Neutral Multidelay Integrodifferential System pp. 1-8

Y. Xu, J. J. Zhao and Z. N. Sui

Forgery Detection in Dynamic Signature Verification by Entailing Principal Component Analysis pp. 1-8

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

A. Pathmanabhan and S. Dinesh

On Global Periodicity of a Class of Difference Equations pp. 1-10

Stevo Stevic

Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems pp. 1-10

Yanping Guo, Jiehua Zhang and Yude Ji

Harvesting Control for a Stage-Structured Predator-Prey Model with Ivlev's Functional Response and Impulsive Stocking on Prey pp. 1-15

Kaiyuan Liu and Lansun Chen

A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System pp. 1-9

Qingdu Li and Xiao-Song Yang

On the Recursive Sequence x n + 1 = A + x n p / x n − 1 r pp. 1-9

Stevo Stevic

A Discrete Two-Sector Economic Growth Model pp. 1-13

Wei-Bin Zhang

Trench's Perturbation Theorem for Dynamic Equations pp. 1-11

Martin Bohner and Stevo Stevic

Stage-Structured Impulsive S I Model for Pest Management pp. 1-11

Ruiqing Shi and Lansun Chen

Strong Laws of Large Numbers for Arrays of Rowwise Ï âˆ— -Mixing Random Variables pp. 1-6

Meng-Hu Zhu

Volume 2006, month December, 2006

A discrete-time interpretation of the Planck-Einstein equation pp. 1-5

A. Boyarsky

Preface to “A discrete-time interpretation of the Planck-Einstein equation” pp. 1-1

Vladimir Gontar

On periodic orbits in discrete-time cascade systems pp. 1-9

Huimin Li and Xiao-Song Yang

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients pp. 1-18

Kenneth S. Berenhaut, Edward E. Allen and Sam J. Fraser

Volume 2006, month November, 2006

Positive solutions of three-point boundary value problems for higher-order p -Laplacian with infinitely many singularities pp. 1-12

Fuyi Xu, Yonghong Wu, Lishan Liu and Yunming Zhou

Two periodic solutions of neutral difference equations modelling physiological processes pp. 1-12

Jun Wu and Yicheng Liu

A short proof of the Cushing-Henson conjecture pp. 1-5

Stevo Stevic

Volume 2006, month September, 2006

Novel, useful, and effective definitions for fuzzy linguistic hedges pp. 1-13

Aarthi Chandramohan and M. V. C. Rao

On boundedness of the solutions of the difference equation x n + 1 = x n − 1 / ( p + x n ) pp. 1-7

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

J. Barkley Rosser

Moving equilibria in the public health care sector: A low-quality trap and a resolution pp. 1-11

Ahmet Kara

A dynamical model of terrorism pp. 1-32

Firdaus Udwadia, George Leitmann and Luca Lambertini

Constructing chaotic transformations with closed functional forms pp. 1-16

Weihong Huang

Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model pp. 1-10

Jian Song

Asymptotic behavior of a class of nonlinear difference equations pp. 1-10

Stevo Stevic

Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems pp. 1-15

Wan-Tong Li, Can-Yun Huang and Sui Sun Cheng

Modeling, description, and characterization of fractal pore via mathematical morphology pp. 1-24

Lay Lian Teo and B. S. Daya Sagar

Weighted power mean discrete dynamical systems: Fast convergence properties pp. 1-9

Francisco J. Solis

Volume 2006, month August, 2006

Detection of the permutation symmetry in pattern sets pp. 1-12

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

Taixiang Sun and Hongjian Xi

Stability and assignment of spectrum in systems with discrete time lags pp. 1-8

M. De la Sen

Exponential stability of a kind of stochastic delay difference equations pp. 1-9

Xiaohua Ding

Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input pp. 1-14

Xinyu Song and Zhong Zhao

Hypothesis of quantum as a distributed self-organized computation by collective of particles pp. 1-11

Pavel V. Kurakin

Rational expectations and the Cournot-Theocharis problem pp. 1-11

Tönu Puu

Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses pp. 1-19

Hai-Feng Huo and Wan-Tong Li

Adaptive control of time-invariant systems with discrete delays subject to multiestimation pp. 1-27

M. De la Sen and S. Alonso

One-dimensional and two-dimensional dynamics of cubic maps pp. 1-13

Djellit Ilhem and Kara Amel

Equivalence between subshrubs and chaotic bands in the Mandelbrot set pp. 1-25

G. Pastor, M. Romera, G. Alvarez, D. Arroyo and F. Montoya

Volume 2006, month July, 2006

Delay-dependent asymptotic stability for neural networks with time-varying delays pp. 1-25

Xiaofeng Liao, Xiaofan Yang and Wei Zhang

Stability of limit cycle in a delayed model for tumor immune system competition with negative immune response pp. 1-13

Radouane Yafia

A note on discrete-time dynamical systems under periodic perturbation pp. 1-5

Huimin Li and Xiaosong Yang

Global stability of Hopfield neural networks under dynamical thresholds with distributed delays pp. 1-11

Fei-Yu Zhang and Hai-Feng Huo

Universality and scaling in networks of period-doubling maps with a pacemaker pp. 1-19

Anna S. Ivanova, Sergey P. Kuznetsov and Andrew H. Osbaldestin

On the new quantifiers and their use in multicriteria decision functions via ordered weighted aggregations pp. 1-9

Aarthi Chandramohan and M. V. C. Rao

Minimum principle and controllability for multiparameter discrete inclusions via derived cones pp. 1-12

Aurelian Cernea

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

M. Senthil Arumugam and M. V. C. Rao

Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay pp. 1-12

Xiaohua Ding and Wenxue Li

A new view on one problem of asymptotic behavior of solutions of delay difference equations pp. 1-16

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

V. Kardashov, Sh. Einav, Y. Okrent and T. Kardashov

Strong law of large numbers for Ï * -mixing sequences with different distributions pp. 1-7

Guang-Hui Cai

Stabilization criteria for continuous linear time-invariant systems with constant lags pp. 1-19

M. De La Sen

Multiple positive solutions of Strum-Liouville equations with singularities pp. 1-11

Zenggui Wang, Lishan Liu and Yonghong Wu

Computation of the topological entropy in chaotic biophysical bursting models for excitable cells pp. 1-18

Jorge Duarte, Luís Silva and J. Sousa Ramos

Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities pp. 1-18

Jin Zhu, Hong-Sheng Xi, Hai-Bo Ji and Bing Wang

Harmless delays in a discrete ratio-dependent periodic predator-prey system pp. 1-21

Yong-Hong Fan and Wan-Tong Li

Hopf bifurcation in a delayed model for tumor-immune system competition with negative immune response pp. 1-9

Radouane Yafia

Existence of positive solutions of PBVPs for first-order difference equations pp. 1-8

Yinggao Zhou

Volume 2006, month May, 2006

Empirical mode decomposition analysis of climate changes with special reference to rainfall data pp. 1-17

Md. Khademul Islam Molla, M. Sayedur Rahman, Akimasa Sumi and Pabitra Banik

On monotone solutions of some classes of difference equations pp. 1-9

Stevo Stevic

Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays pp. 1-18

Xiang-Ping Yan and Wan-Tong Li

Conjugate gradient algorithm and fractals pp. 1-15

Mohamed Lamine Sahari and Ilhem Djellit

Estimates of topological entropy of continuous maps with applications pp. 1-10

Xiao-Song Yang and Xiaoming Bai

Permanence for a class of nonlinear difference systems pp. 1-10

Binxiang Dai and Xingfu Zou

Some results on cascade discrete-time systems pp. 1-8

Xiao-Ming Bai, Hui-Min Li and Xiao-Song Yang

The Apollonian decay of beer foam bubble size distribution and the lattices of young diagrams and their correlated mixing functions pp. 1-35

S. Sauerbrei, E. C. Haß and P. J. Plath

Stability analysis of stochastic Ricker population model pp. 1-13

Natali Hritonenko, Alexandra Rodkina and Yuri Yatsenko

Volume 2006, month March, 2006

Fractal Newton basins pp. 1-16

M. L. Sahari and I. Djellit

Investigation of a spatial double pendulum: an engineering approach pp. 1-22

S. Bendersky and B. Sandler

Horseshoe in a class of planar mappings pp. 1-10

Yan Huang and Xiao-Song Yang

Well-posedness of the difference schemes of the high order of accuracy for elliptic equations pp. 1-12

Allaberen Ashyralyev and Pavel E. Sobolevskiĭ

Volume 2006, month February, 2006

Existence of positive solutions for certain partial difference equations pp. 1-12

Binggen Zhang and Qiuju Xing

Singular boundary value problem on infinite time scale pp. 1-13

Zhao-Cai Hao, Jin Liang and Ti-Jun Xiao

Stability results on age-structured SIS epidemic model with coupling impulsive effect pp. 1-11

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

Xiang-Ping Yan and Wan-Tong Li

Volume 2006, month January, 2006

Linear and nonlinear approach for DEM smoothening pp. 1-10

S. Dinesh and P. Radhakrishnan