Abstract
A noise-induced variability of nonlinear dynamics in the Goldbeter model of the enzymatic reaction is studied. For this model, peculiarities of the stochastic behavior in the zone of Canard-type oscillations are investigated. A constructive method combining analytical asymptotics (stochastic sensitivity function) and numerical approximations of probabilistic distributions (confidence domains) is suggested for the analysis of the stochastic excitement, noise-induced multimodality and transition from order to chaos.
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More From: Communications in Nonlinear Science and Numerical Simulation
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