Interacting Brownian Particles as a Model of Neural Network

DOI10.1142/S0218127498000589zbMath0936.82022MaRDI QIDQ4936286

Hiroshi Nakajima, Ichiro Iwasaki, Toshihiro Shimizu

Publication date: 25 January 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

neural networkBrownian motionassociative memorybifurcation parameterchaotic force

Mathematics Subject Classification ID

Neural nets applied to problems in time-dependent statistical mechanics (82C32) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Relaxation and bifurcation in Brownian motion driven by a chaotic force
• On the stability of the travelling salesman problem algorithm of Hopfield and Tank
• Chaotic force in Brownian motion
• Fractal structure and Gaussian distribution in chaotic Brownian motion
• Chaos Induced Transition
• EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION
• CONTROLLING OF CHAOS IN BONHOEFFER- VAN DER POL OSCILLATOR
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations
• Synchronization in chaotic systems
• Neurons with graded response have collective computational properties like those of two-state neurons.

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