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Title: Topological analysis of chaos in neural spike train bursts

Abstract

We show how a topological model which describes the stretching and squeezing mechanisms responsible for creating chaotic behavior can be extracted from the neural spike train data. The mechanism we have identified is the same one ([open quotes]gateau roul[acute e],[close quotes] or jelly-roll) which has previously been identified in the Duffing oscillator [Gilmore and McCallum, Phys. Rev. E [bold 51], 935 (1995)] and in a YAG laser [Boulant [ital et al.], Phys. Rev. E [bold 55], 5082 (1997)]. [copyright] [ital 1999 American Institute of Physics.]

Authors:
 [1]; ;  [2]
  1. (Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 (United States))
  2. (Center for Neurodynamics, University of Missouri, St. Louis, Missouri 63121 (United States))
Publication Date:
OSTI Identifier:
6327197
Alternate Identifier(s):
OSTI ID: 6327197
Resource Type:
Journal Article
Journal Name:
Chaos
Additional Journal Information:
Journal Volume: 9:3; Journal ID: ISSN 1054-1500
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIOELECTRICITY; BIOPHYSICS; IONIC CONDUCTIVITY; MEMBRANE TRANSPORT; NERVE CELLS; PHYSIOLOGY; TOPOLOGY; ANIMAL CELLS; ELECTRIC CONDUCTIVITY; ELECTRICAL PROPERTIES; ELECTRICITY; MATHEMATICS; PHYSICAL PROPERTIES; SOMATIC CELLS 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Gilmore, R., Pei, X., and Moss, F. Topological analysis of chaos in neural spike train bursts. United States: N. p., 1999. Web. doi:10.1063/1.166455.
Gilmore, R., Pei, X., & Moss, F. Topological analysis of chaos in neural spike train bursts. United States. doi:10.1063/1.166455.
Gilmore, R., Pei, X., and Moss, F. Wed . "Topological analysis of chaos in neural spike train bursts". United States. doi:10.1063/1.166455.
@article{osti_6327197,
title = {Topological analysis of chaos in neural spike train bursts},
author = {Gilmore, R. and Pei, X. and Moss, F.},
abstractNote = {We show how a topological model which describes the stretching and squeezing mechanisms responsible for creating chaotic behavior can be extracted from the neural spike train data. The mechanism we have identified is the same one ([open quotes]gateau roul[acute e],[close quotes] or jelly-roll) which has previously been identified in the Duffing oscillator [Gilmore and McCallum, Phys. Rev. E [bold 51], 935 (1995)] and in a YAG laser [Boulant [ital et al.], Phys. Rev. E [bold 55], 5082 (1997)]. [copyright] [ital 1999 American Institute of Physics.]},
doi = {10.1063/1.166455},
journal = {Chaos},
issn = {1054-1500},
number = ,
volume = 9:3,
place = {United States},
year = {1999},
month = {9}
}