Abstract and Applied Analysis

Dynamics of Delay Differential Equations with Its Applications


Publishing date
21 Jun 2013
Status
Published
Submission deadline
01 Feb 2013

Lead Editor

1College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410114, China

2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

3Department of Mathematic, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5 Canada


Dynamics of Delay Differential Equations with Its Applications

Description

In recent decades, delay differential equations have attracted a rapidly growing attention in the field of nonlinear dynamics and have become a powerful tool for investigating the complexities of the real-world problems such as infectious diseases, biotic population, neuronal networks, and even economics and finance. A delay differential equation is a special type of functional differential equation; its evolution involves past values of the state variable and therefore requires knowledge of not only the current state but also of the state a certain time previously. Nowadays, the analysis of nonlinear dynamics of delay differential equations still possesses many new challenges to researchers. When employing delay differential equations to solve practical problems, it is very crucial to be able to completely characterize the dynamical properties of the delay differential equations. This special issue aims at gathering research works focusing on the development of dynamics of delay differential equations with its applications. We invite authors to submit original research articles as well as review articles that reveal various dynamics behavior and their applications of delay differential equations. Potential topics include, but are not be limited to:

  • Invariant sets and attractor
  • Boundedness analysis
  • Multistability, stability, and bifurcation analysis
  • Asymptotically analysis and synchronization
  • The existence and uniqueness or nonexistence of equilibrium point, periodic solutions, and almost periodic solutions
  • Homoclinic orbits and heteroclinic orbits
  • Impulsive and stochastic control
  • Modeling and simulation analysis
  • Numerical computation analysis

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/ddd/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 467890
  • - Editorial

Dynamics of Delay Differential Equations with Their Applications

Chuangxia Huang | Zhiming Guo | ... | Yuming Chen
  • Special Issue
  • - Volume 2013
  • - Article ID 717489
  • - Research Article

Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks

Yonghui Sun | Zhinong Wei | Guoqiang Sun
  • Special Issue
  • - Volume 2013
  • - Article ID 853134
  • - Research Article

Stability of a Functional Differential System with a Finite Number of Delays

Josef Rebenda | Zdeněk Šmarda
  • Special Issue
  • - Volume 2013
  • - Article ID 417678
  • - Research Article

Multiple Nonlinear Oscillations in a -Symmetrical Coupled System of Identical Cells with Delays

Haijun Hu | Li Liu | Jie Mao
  • Special Issue
  • - Volume 2013
  • - Article ID 576721
  • - Research Article

Global Exponential Stability Criteria for Bidirectional Associative Memory Neural Networks with Time-Varying Delays

J. Thipcha | P. Niamsup
  • Special Issue
  • - Volume 2013
  • - Article ID 129072
  • - Research Article

Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation

Zheng Wu | Hao Huang | Lianglong Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 854743
  • - Research Article

Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes

Junhao Hu | Xuerong Mao | Chenggui Yuan
  • Special Issue
  • - Volume 2013
  • - Article ID 826426
  • - Research Article

Delay-Dependent Dynamics of Switched Cohen-Grossberg Neural Networks with Mixed Delays

Peng Wang | Haijun Hu | ... | Li Liu
  • Special Issue
  • - Volume 2013
  • - Article ID 270791
  • - Research Article

Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method

Hanfeng Kuang | Jinbo Liu | ... | Linjie He
  • Special Issue
  • - Volume 2013
  • - Article ID 918569
  • - Research Article

Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction

Zheng Wu | Hao Huang | Lianglong Wang
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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