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Stochastic nonlinear modeling
The problem of simultaneously modeling the underlying nonlinear stochastic and deterministic dynamics of a time series is discussed. ©1996 American Institute of Physics.
The problem of simultaneously modeling the underlying nonlinear stochastic and deterministic dynamics of a time series is discussed. ©1996 American Institute of Physics.
A new method of modeling and numerical simulation of nonlinear dynamical systems
This work presents the most significant aspects of an original method of modelling and numerical simulation of nonlinear (linear) dynamical systems (1) it assures the local-iterative linearization (LI...
This work presents the most significant aspects of an original method of modelling and numerical simulation of nonlinear (linear) dynamical systems (1) it assures the local-iterative linearization (LI...
An oscillatory neural network unit model
AIP Conf. Proc. -- June 10, 1996 -- Volume 375, pp. 726-733
Chaotic, fractal, and nonlinear signal processing;
doi:10.1063/1.51010
Issue Date: 10 June 1996
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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. ©1996 American Institute of Physics.
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KEYWORDS and PACS
NERVE CELLS,
MATHEMATICAL MODELS,
CELL MEMBRANES,
ATTRACTORS,
PHASE SPACE,
DYNAMICAL SYSTEMS,
CHAOTIC SYSTEMS,
MEMBRANE POTENTIAL
- 87.22.Jb
Biological and medical physics Physics of cellular and physiological processes Muscle contraction, nerve conduction, synaptic transmission, memorization, and other neurophysiological processes (excluding perception processes and speech) - 87.10.+e
Biological and medical physics General, theoretical, and mathematical biophysics (including logic of biosystems, quantum biology, and relevant aspects of thermodynamics, information theory, cybernetics, and bionics) - 05.45.+b
Statistical physics and thermodynamics Theory and models of chaotic systems - YEAR: 1996
PUBLICATION DATA
0094-243X (print)
AIP
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