Journal of Robotics and Machine Learning
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Data on physics published by researchers at McGill University
February 1st, 2010
"The bifurcation diagram of a model stochastic differential equation with delayed feedback is presented. We are motivated by recent research on stochastic effects in models of transcriptional gene regulation," investigators in Montreal, Canada report.
"We start from the normal form for a pitchfork bifurcation, and add multiplicative or parametric noise and linear delayed feedback. The latter is sufficient to originate a Hopf bifurcation in that region of parameters in which there is a sufficiently strong negative feedback. We find a sharp bifurcation in parameter space, and define the threshold as the point in which the stationary distribution function p(x) changes from a...
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Source: Journal of Robotics and Machine Learning (2010-02-01)