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Resonance Phenomeon of the Morris-Lecar Model

Author: ZhangDaWei
Tutor: WangJiang
School: Tianjin University
Course: Detection Technology and Automation
Keywords: Morris-Lecar model Coupling Consistent resonance Stochastic resonance Vibration resonance
CLC: TP11
Type: Master's thesis
Year: 2008
Downloads: 48
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Abstract


Neuron units and functional units of the structure of the nervous system of all animals. Containing a large number of neurons in the nervous system. The basic functions of the neurons by accepting, integration, conduction, and output information to achieve the exchange of information. The brain is made up of neurons, neuron clusters through the exchange of information of individual neurons, the analysis functions of the brain, and thus generate awareness of human behavior. The presence of noise in our living environment is a very common phenomenon, the noise has a major impact on single neurons in the role of information integration and information transfer in the cluster of neurons, the study of noise on neuronal role , has a very important significance for our understanding of the the neurons encoding mechanisms and delivery mechanisms. Morris-Lecar model, the use of singular perturbation theory to improve, embedded in a small parameter bifurcation analysis; Morris-Lecar model improved system bifurcation point; applied a smaller difference in hopf bifurcation point neighborhood The cycle of stimulation of the amplitude and frequency of the resonance analysis to obtain the internal frequency; when the frequency with the internal frequency of the input signal is close to the system to achieve resonance; final analysis of the system can occur in different regions of the input signal form of a different discharge. Morris-Lecar model and electrically coupled to the Morris-Lecar model using a noise signal is applied while applying a weak periodic signal and the noise signal, etc. Several combinations of the different input signals, respectively, were consistent resonance and the numerical analysis of the stochastic resonance, noise impact on neurons to play a role in information coding and use of the theory of mathematical proof. By Morris-Lecar model Canard phenomenon and analysis, this article was first proposed as a necessary condition for the Canard occurred. This article discusses the impact of the high-frequency signals on a single Morris-Lecar model, i.e. vibration resonance phenomenon, to draw a high-frequency signal amplitude and frequency change neuron information coding law; compare the high-frequency signal and the noise signal stimulation of a single neuron information coding differences and relations, both single cell amplification synergy and mutual substitution effect. Through this research analysis, the influence of noise on the nervous system. The idea of ??providing information for the study of nervous system conduction and the role of law.

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