Analysis of Nonlinear Dynamics of Neural Networks

Sabri Arik,Juhyun Park,José J Oliveira,Tingwen Huang

doi:10.1155/2013/756437

Abstract

Dynamical neural networks proved to be an important tool to solve some practical engineering problems in the areas such as optimization, image and signal processing, control systems, associative memories, and pattern recognition. When employing neural networks to solve practical engineering problems, it is crucial to be able to completely characterize the dynamical properties of neural networks. There are many various classes of neural network models that can be described in the form of nonlinear systems. Therefore, neural networks may exhibit extremely different complex dynamical behaviors depending on the model and network parameters. Hence, the analysis of nonlinear dynamics of neural networks still possesses new challenges to researchers. The aim of this special issue is to solicit theoretical and application research in the fields of neural networks exploiting their nonlinear dynamics. We believe it provides a good opportunity for reflection on current developments in the nonlinear analysis of dynamical behaviors of neural networks.The papers submitted to this special issue represent a mixture of cross-cutting investigations and provide deep insight into the current developments in the field. The accepted papers in this special issue addressed the following topics:

Highlights

As we mentioned above, the special issue aimed to reveal new ideas in the area of nonlinear dynamics of neural networks, which would be helpful for the scientists and researchers who share the common interest in neural networks
There are many various classes of neural network models that can be described in the form of nonlinear systems
Neural networks may exhibit extremely different complex dynamical behaviors depending on the model and network parameters

Summary

Introduction

The special issue aimed to reveal new ideas in the area of nonlinear dynamics of neural networks, which would be helpful for the scientists and researchers who share the common interest in neural networks. Editorial Analysis of Nonlinear Dynamics of Neural Networks Sabri Arik,1 Juhyun Park,2 Tingwen Huang,3 and José J. 1 Department of Electrical and Electronics Engineering, Isik University, Sile, 34980 Istanbul, Turkey 2 Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, Gyeongsan 712-749, Republic of Korea 3 Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar 4 Departamento de Matematica e Aplicacoes e CMAT, Escola de Ciencias, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal

Results

Conclusion