Nonlinear spring model of self-organizing map and its chaotic behavior (非線形問題)

スポンサーリンク

概要

• 論文の詳細を見る

• The Self-Organizing Map (SOM) is an unsupervised neural network introduced by Kohonen and is a model simplifying self-organization process of the brain. However, SOM is still far away from the realization of the brain mechanism. In order to realize more powerful and more flexible mechanism, it is important to propose new models of the brain mechanism and to investigate their behaviors. In this study, as the first step to realize a new nonlinear spring model of SOM, we propose a simple one dimensional 2-neuron model connected by a nonlinear spring. We investigate its behavior under a simple assumption where input vectors are given to the model periodically. Furthermore, in order to investigate the behavior of the nonlinear spring model of SOM, we calculate one-parameter bifurcation diagram and the largest Lyapunov exponent of the proposed model. Computer simulated results show that the neurons oscillate chaotically.

• 社団法人電子情報通信学会の論文
• 2007-06-01

著者

• NISHIO Yoshifumi

  Department of Electrical and Electronic Engineering, Tokushima University

• MATSUSHITA Haruna

  Department of Electrical and Electronic Engineering, Tokushima University

• Nishio Yoshifumi

  Tokushima Univ. Tokushima Jpn

• Nishio Yoshifumi

  Department Of Dept. Of Electrical And Electronics Engineering Tokushima University

• Matsushita Haruna

  Tokushima Univ. Tokushima Jpn

• Matsushita Haruna

  Department Of Electrical And Electronic Engineering Tokushima University

関連論文

• Applications of cellular neural networks using mixture template (非線形問題)
• Fast Simulation Technique of Plane Circuits via Two-Layer CNN-Based Modeling
• Spice-Oriented Frequency-Domain Analysis of Nonlinear Electronic Circuits(Analog Circuit Techniques and Related Topics)
• Phase-Inversion Waves in Oscillators Coupled by Two Kinds of Inductors as a Ladder(Nonlinear Theory and its Applications)
• Analysis of Phase-Inversion Waves in Coupled Oscillators Synchronizing at In-and-Anti-Phase(Noliner Problems)
• Phase-Waves in a Ladder of Oscillators
• Performance Comparison of Communication Systems Using Chaos Synchronization
• On the Influence of Transmission Line on Communication System Using Chaos Synchronization
• A-2-3 Synchronization in two van der Pol Oscillators with Noise Coupled by Time-Varying Resistor
• A-2-7 Synchronization in a Ring of van der Pol Oscillators with Different Frequencies
• Competing Behavior of Two Kinds of Self-Organizing Maps and Its Application to Clustering(Neural Networks and Bioengineering)
• Performance of Affordable Neural Network for Back Propagation Learning(Nonlinear Problems)
• Detecting Lung Cancer Symptoms with Analogic CNN Algorithms Based on a Constrained Diffusion Template
• Tentacled Self-Organizing Map for Effective Data Extraction(Neuron and Neural Networks,Nonlinear Theory and its Applications)
• Generation of Various Types of Spatio-Temporal Phenomena in Two-Layer Cellular Neural Networks(Nonlinear Problems)
• Sensitivity Analysis and Optimization Algorithm : Based on Nonlinear Programming
• Fast Simulation Technique of Plane Circuits via Two-Layer CNN-Based Modeling
• Adaptive Simulated Annealing in CNN Template Learning
• Durability of Affordable Neural Networks against Damaging Neurons
• Self-Organizing Map with False-Neighbor Degree between Neurons for Effective Self-Organization
• Batch-learning self-organizing map with false-neighbor degree for effective self-organization (非線形問題)
• Nonlinear spring model of self-organizing map and its chaotic behavior (非線形問題)
• Chaotic map with chaotically changing parameter for a cryptosystem (非線形問題)
• A-2-15 Learning Ability of Evolving Affordable Neural Networks with Genetic Algorithm for Back Propagation Learning
• Lazy self-organizing map for effective self-organization (非線形問題)
• Research on clustering of coupled chaotic circuits with mutual inductors (非線形問題)
• Statistical Analysis of Chaotic Wandering in Simple Coupled Chaotic Circuits
• Performance of Chaos and Burst Noises Injected to the Hopfield NN for Quadratic Assignment Problems(Neural Networks and Bioengineering)
• Markov Chain Modeling of Intermittency Chaos and Its Application to Hopfleld NN(Selected Papers from the 16th Workshop on Circuits and Systems in Karuizawa)
• FORWORD(Nonlinear Theory and its Applications)
• Interactive Facial-Geometric-Feature Animation for Generating Expressions of Novel Faces
• Multi-Layer Perceptron with Glial Network for Solving Two-Spiral Problem
• Research on Competing and Accommodating Behaviors of Peace SOM (テーマセッション 「ランダムネスと予測--その基礎と応用」及び一般)
• A novel optimization design approach for Contourlet directional filter banks

もっと見る 閉じる

スポンサーリンク