Dynamical Behavior Analysis of a Neutral-Type Single Neuron System

2018 ◽  
pp. 331-338
Author(s):  
Qiuyu Lv ◽  
Nankun Mu ◽  
Xiaofeng Liao
Keyword(s):  
Behavior Analysis ◽  
Single Neuron ◽  
Dynamical Behavior ◽  
Neutral Type ◽  
Neuron System

scholarly journals Delay-dependent asymptotic stability for neural networks with time-varying delays

2006 ◽  
Vol 2006 ◽  
pp. 1-25 ◽  
Author(s):  
Xiaofeng Liao ◽  
Xiaofan Yang ◽  
Wei Zhang
Keyword(s):  
Neural Network ◽  
Asymptotic Stability ◽  
Dynamical Behavior ◽  
Network Models ◽  
Time Varying ◽  
Stability Criteria ◽  
Neural Network Models ◽  
Neuron System ◽  
The Neural Network ◽  
Delay Dependent

We study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied to a two-neuron system with delayed connections between neurons, and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature. Some numerical examples are included to demonstrate our results.

Single neuron dynamics during experimentally induced anoxic depolarization

2013 ◽  
Vol 110 (7) ◽  
pp. 1469-1475 ◽  
Author(s):  
Bas-Jan Zandt ◽  
Tyler Stigen ◽  
Bennie ten Haken ◽  
Theoden Netoff ◽  
Michel J. A. M. van Putten
Keyword(s):  
Single Neuron ◽  
Cell Model ◽  
Dynamical Behavior ◽  
Pyramidal Cells ◽  
Membrane Voltage ◽  
Energy Depletion ◽  
Single Cell Model ◽  
Anoxic Depolarization ◽  
Voltage Dynamics ◽  
Neuron Dynamics

We studied single neuron dynamics during anoxic depolarizations, which are often observed in cases of neuronal energy depletion. Anoxic and similar depolarizations play an important role in several pathologies, notably stroke, migraine, and epilepsy. One of the effects of energy depletion was experimentally simulated in slices of rat cortex by blocking the sodium-potassium pumps with ouabain. The membrane voltage of pyramidal cells was measured. Five different kinds of dynamical behavior of the membrane voltage were observed during the resulting depolarizations. Using bifurcation analysis of a single cell model, we show that these voltage dynamics all are responses of the same cell, with normally functioning ion channels, to particular courses of the intra- and extracellular concentrations of sodium and potassium.

Nonlinear Behavior Analysis of a Rotor Supported on Fluid-Film Bearings

2005 ◽  
Vol 128 (1) ◽  
pp. 35-40 ◽  
Author(s):  
Guangyan Shen ◽  
Zhonghui Xiao ◽  
Wen Zhang ◽  
Tiesheng Zheng
Keyword(s):  
Behavior Analysis ◽  
Dynamical Behavior ◽  
Nonlinear Behavior ◽  
Fluid Film ◽  
Diagnostic Tools ◽  
Nonlinear Phenomena ◽  
Frequency Spectra ◽  
Nonlinear Dynamical ◽  
Synchronous Motion ◽  
Period Motion

A fast and accurate model to calculate the fluid-film forces of a fluid-film bearing with the Reynolds boundary condition is presented in the paper by using the free boundary theory and the variational method. The model is applied to the nonlinear dynamical behavior analysis of a rigid rotor in the elliptical bearing support. Both balanced and unbalanced rotors are taken into consideration. Numerical simulations show that the balanced rotor undergoes a supercritical Hopf bifurcation as the rotor spin speed increases. The investigation of the unbalanced rotor indicates that the motion can be a synchronous motion, subharmonic motion, quasi-period motion, or chaotic motion at different rotor spin speeds. These nonlinear phenomena are investigated in detail. Poincaré maps, bifurcation diagram and frequency spectra are utilized as diagnostic tools.

Sign in / Sign up

Export Citation Format

Share Document