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Title: Nonlinear dynamical system approaches towards neural prosthesis

Abstract

An asynchronous discrete-state spiking neurons is a wired system of shift registers that can mimic nonlinear dynamics of an ODE-based neuron model. The control parameter of the neuron is the wiring pattern among the registers and thus they are suitable for on-chip learning. In this paper an asynchronous discrete-state spiking neuron is introduced and its typical nonlinear phenomena are demonstrated. Also, a learning algorithm for a set of neurons is presented and it is demonstrated that the algorithm enables the set of neurons to reconstruct nonlinear dynamics of another set of neurons with unknown parameter values. The learning function is validated by FPGA experiments.

Authors:
;  [1]
  1. Graduate School of Engineering Science, Osaka University (Japan)
Publication Date:
OSTI Identifier:
21513188
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1339; Journal Issue: 1; Conference: ICAND 2010: International conference on applications in nonlinear dynamics, Lake Louise, AB (Canada), 21-24 Sep 2010; Other Information: DOI: 10.1063/1.3586236; (c) 2011 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; DIFFERENTIAL EQUATIONS; NETWORK ANALYSIS; NEURAL NETWORKS; NONLINEAR PROBLEMS; EQUATIONS; MATHEMATICAL LOGIC

Citation Formats

Torikai, Hiroyuki, and Hashimoto, Sho. Nonlinear dynamical system approaches towards neural prosthesis. United States: N. p., 2011. Web. doi:10.1063/1.3586236.
Torikai, Hiroyuki, & Hashimoto, Sho. Nonlinear dynamical system approaches towards neural prosthesis. United States. https://doi.org/10.1063/1.3586236
Torikai, Hiroyuki, and Hashimoto, Sho. 2011. "Nonlinear dynamical system approaches towards neural prosthesis". United States. https://doi.org/10.1063/1.3586236.
@article{osti_21513188,
title = {Nonlinear dynamical system approaches towards neural prosthesis},
author = {Torikai, Hiroyuki and Hashimoto, Sho},
abstractNote = {An asynchronous discrete-state spiking neurons is a wired system of shift registers that can mimic nonlinear dynamics of an ODE-based neuron model. The control parameter of the neuron is the wiring pattern among the registers and thus they are suitable for on-chip learning. In this paper an asynchronous discrete-state spiking neuron is introduced and its typical nonlinear phenomena are demonstrated. Also, a learning algorithm for a set of neurons is presented and it is demonstrated that the algorithm enables the set of neurons to reconstruct nonlinear dynamics of another set of neurons with unknown parameter values. The learning function is validated by FPGA experiments.},
doi = {10.1063/1.3586236},
url = {https://www.osti.gov/biblio/21513188}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1339,
place = {United States},
year = {Tue Apr 19 00:00:00 EDT 2011},
month = {Tue Apr 19 00:00:00 EDT 2011}
}