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 934680
  • - Editorial

Mathematical Problems for Complex Networks

Zidong Wang | Jinling Liang | Yurong Liu
  • Special Issue
  • - Volume 2012
  • - Article ID 743728
  • - Research Article

An Immune Cooperative Particle Swarm Optimization Algorithm for Fault-Tolerant Routing Optimization in Heterogeneous Wireless Sensor Networks

Yifan Hu | Yongsheng Ding | Kuangrong Hao
  • Special Issue
  • - Volume 2012
  • - Article ID 291714
  • - Research Article

Mixed Performance Analysis and State-Feedback Control Design for Networked Systems with Fading Communication Channels

Adrian-Mihail Stoica
  • Special Issue
  • - Volume 2012
  • - Article ID 947961
  • - Research Article

On the Complexities of the Design of Water Distribution Networks

Joaquín Izquierdo | Idel Montalvo | ... | Agustín Matías
  • Special Issue
  • - Volume 2012
  • - Article ID 236782
  • - Research Article

Enhancement of the Quality and Robustness in Synchronization of Nonlinear Lur'e Dynamical Networks

Shiyun Xu | Yong Tang | ... | Ying Yang
  • Special Issue
  • - Volume 2012
  • - Article ID 530759
  • - Review Article

Recent Advances on Filtering and Control for Nonlinear Stochastic Complex Systems with Incomplete Information: A Survey

Bo Shen | Zidong Wang | ... | Yurong Liu
  • Special Issue
  • - Volume 2012
  • - Article ID 969402
  • - Research Article

Impulsive Synchronization of Nonlinearly Coupled Complex Networks

Guizhen Feng | Jinde Cao | Jianquan Lu
  • Special Issue
  • - Volume 2012
  • - Article ID 273140
  • - Research Article

Second-Order Consensus for Multiagent Systems under Directed and Switching Topologies

Lixin Gao | Jingjing Zhang | Wenhai Chen
  • Special Issue
  • - Volume 2012
  • - Article ID 484812
  • - Research Article

Structural Models of Cortical Networks with Long-Range Connectivity

Nicole Voges | Ad Aertsen | Stefan Rotter
  • Special Issue
  • - Volume 2012
  • - Article ID 570498
  • - Research Article

A Quasi-ARX Model for Multivariable Decoupling Control of Nonlinear MIMO System

Lan Wang | Yu Cheng | Jinglu Hu
Mathematical Problems in Engineering
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Acceptance rate11%
Submission to final decision118 days
Acceptance to publication28 days
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