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

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

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

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

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

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

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

Xiaofeng Liao and Songtao Guo

Volume 2007, month August, 2007

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

Bratislav D. Iricanin

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

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

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

Stevo Stevic

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

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

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

Leonid Gutnik and Stevo Stevic

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

Guang-Hui Cai

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

Qiang Zhang, Xiaopeng Wei and Jin Xu

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

Zhong Zhao and Xinyu Song

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

Antonio Aguilera and Edgardo Ugalde

Volume 2007, month March, 2007

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

Yuexu Zhao

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

Stevo Stevic

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

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

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

Bratislav D. Iricanin

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

Volume 2007, month January, 2007

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

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

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

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

Volume 2006, month December, 2006

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

A. Boyarsky

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

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

Vladimir Gontar

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

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

Weihong Huang

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

Ahmet Kara

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

Lay Lian Teo and B. S. Daya Sagar

A dynamical model of terrorism pp. 1-32

Firdaus Udwadia, George Leitmann and Luca Lambertini

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

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

Aarthi Chandramohan and M. V. C. Rao

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

Francisco J. Solis

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

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

Volume 2006, month August, 2006

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

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

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

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

Hai-Feng Huo and Wan-Tong Li

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

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

Xinyu Song and Zhong Zhao

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

Xiaohua Ding

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

M. De la Sen

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

Djellit Ilhem and Kara Amel

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

M. De la Sen and S. Alonso

Volume 2006, month July, 2006

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

Fei-Yu Zhang and Hai-Feng Huo

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

Radouane Yafia

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

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

Xiaofeng Liao, Xiaofan Yang and Wei Zhang

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

Huimin Li and Xiaosong Yang

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

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

Aurelian Cernea

Volume 2006, month June, 2006

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

M. De La Sen

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

Xiaohua Ding and Wenxue Li

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

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

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

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

Yinggao Zhou

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

Radouane Yafia

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

Yong-Hong Fan and Wan-Tong Li

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

Zenggui Wang, Lishan Liu and Yonghong Wu

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

Guang-Hui Cai

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

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

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

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

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

Stevo Stevic

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

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

Volume 2006, month March, 2006

Fractal Newton basins pp. 1-16

M. L. Sahari and I. Djellit

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

Allaberen Ashyralyev and Pavel E. Sobolevskiĭ

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

Yan Huang and Xiao-Song Yang

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

S. Bendersky and B. Sandler

Volume 2006, month February, 2006

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

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

Volume 2006, month January, 2006

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

S. Dinesh and P. Radhakrishnan