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Author Bazhenov, M. ♦ Rabinovich, M. ♦ Rubchinsky, L.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword BIOLOGY AND MEDICINE, BASIC STUDIES ♦ PHYSICS ♦ NERVE CELLS ♦ CELL MEMBRANES ♦ MATHEMATICAL MODELS ♦ ATTRACTORS ♦ PHASE SPACE ♦ DYNAMICAL SYSTEMS ♦ CHAOTIC SYSTEMS ♦ MEMBRANE POTENTIAL
Abstract A mathematical model of a neuron describing its oscillatory activity is constructed and investigated. The model in the form of a system of three ordinary differential equations demonstrates both regular behavior of the time dependence of electric membrane potential and its chaotic dynamics. The absence of rigorous heteroclinic trajectories in the phase space of the system is proved and the transition to chaos is investigated. The processes of synchronization of the oscillators are discussed. {copyright} {ital 1996 American Institute of Physics.}
ISSN 0094243X
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-06-01
Publisher Place United States
Volume Number 375
Issue Number 1
Technical Publication No. CONF-950730-


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