Mathematical Problems in Engineering

Mathematical Problems for Complex Networks


Publishing date
01 Dec 2011
Status
Published
Submission deadline
01 Jun 2011

Lead Editor

1Department of Information Systems and Computing, Brunel University, Uxbridge UB8 3PH, UK

2Department of Mathematics, Yangzhou University, Yangzhou 225009, China

3Department of Mathematics, Southeast University, Nanjing, China


Mathematical Problems for Complex Networks

Description

Complex networks do exist in our lives. The brain is a neural network. The global economy is a network of national economies. Computer viruses routinely spread through the Internet. Food webs, ecosystems, and metabolic pathways can be represented by networks. Energy is distributed through transportation networks in living organisms, man-made infrastructures, and other physical systems. Dynamic behaviors of complex networks, such as stability, periodic oscillation, bifurcation, or even chaos, are ubiquitous in the real world and often reconfigurable. Networks have been studied in the context of dynamical systems in a range of disciplines. However, until recently, there has been relatively little work that treats dynamics as a function of network structure, where the states of both the nodes and the edges can change, and the topology of the network itself often evolves in time. Some major problems have not been fully investigated, such as the behavior of stability, synchronization and chaos control for complex networks, as well as their applications in, for example, communication and bioinformatics.

Complex networks have already become an ideal research area for control engineers, mathematicians, computer scientists, and biologists to manage, analyze, and interpret functional information from real-world networks. Sophisticated computer system theories and computing algorithms have been exploited or emerged in the general area of computer mathematics, such as analysis of algorithms, artificial intelligence, automata, computational complexity, computer security, concurrency and parallelism, data structures, knowledge discovery, DNA and quantum computing, randomization, semantics, symbol manipulation, numerical analysis, and mathematical software. This special issue aims to bring together the latest approaches to understanding complex networks from a dynamic system perspective. Potential topics include, but are not limited to:

  • Synchronization and control
  • Topology structure and dynamics
  • Stability analysis
  • Robustness and fragility

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


Articles

  • Special Issue
  • - Volume 2012
  • - Article ID 380304
  • - Research Article

Practical Stability in the th Mean for Itô Stochastic Differential Equations

Enguang Miao | Huisheng Shu | Yan Che
  • Special Issue
  • - Volume 2012
  • - Article ID 573439
  • - Research Article

pth Mean Practical Stability for Large-Scale Itô Stochastic Systems with Markovian Switching

Yan Yun | Huisheng Shu | Yan Che
  • Special Issue
  • - Volume 2012
  • - Article ID 326876
  • - Research Article

The Practical Stabilization for a Class of Networked Systems with Actuator Saturation and Input Additive Disturbances

Dongyan Chen | Shanqiang Li | Yujing Shi
  • Special Issue
  • - Volume 2012
  • - Article ID 927031
  • - Research Article

Geometric Buildup Algorithms for Sensor Network Localization

Zhenzhen Zheng | Xinlong Luo | Zhijun Wu
  • Special Issue
  • - Volume 2012
  • - Article ID 361871
  • - Research Article

Global Robust Stability of Switched Interval Neural Networks with Discrete and Distributed Time-Varying Delays of Neural Type

Huaiqin Wu | Ning Li | ... | Qiangqiang Guo
  • Special Issue
  • - Volume 2012
  • - Article ID 314964
  • - Research Article

𝐻 Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither

Zhi-Ren Tsai | Jiing-Dong Hwang
  • Special Issue
  • - Volume 2012
  • - Article ID 829037
  • - Research Article

Further Stability Criterion on Delayed Recurrent Neural Networks Based on Reciprocal Convex Technique

Guobao Zhang | Tao Li | Shumin Fei
  • Special Issue
  • - Volume 2012
  • - Article ID 821215
  • - Research Article

Abstract Description of Internet Traffic of Generalized Cauchy Type

Ming Li | Wei Zhao
  • Special Issue
  • - Volume 2012
  • - Article ID 281465
  • - Research Article

Energy-Aware Topology Evolution Model with Link and Node Deletion in Wireless Sensor Networks

Xiaojuan Luo | Huiqun Yu | Xiang Wang
  • Special Issue
  • - Volume 2012
  • - Article ID 139271
  • - Research Article

A Novel Algorithm of Stochastic Chance-Constrained Linear Programming and Its Application

Xiaodong Ding | Chengliang Wang
Mathematical Problems in Engineering
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Acceptance rate27%
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Acceptance to publication34 days
CiteScore1.800
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Impact Factor1.305
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