Characterization of stochastic bifurcations in a simple biological oscillator (Q1806379)
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scientific article; zbMATH DE number 1357809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of stochastic bifurcations in a simple biological oscillator |
scientific article; zbMATH DE number 1357809 |
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Characterization of stochastic bifurcations in a simple biological oscillator (English)
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9 March 2000
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The author studies the influence of noise upon bifurcations in a simple model of biological oscillators with a periodically modulated threshold. The problem is reduced to the investigation of the first passage time for a stochastic process of Ornstein-Uhlenbeck type (defined via an appropriate stochastic differential equation). Stochastic phase-locking is analysed numerically by evaluating the evolution of the probability density function of a threshold phase density.
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first passage time
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Ornstein-Uhlenbeck process
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stochastic differential equation
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phase-locking
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