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Stochastic Hopf Bifurcation Analysis by happel is a document available to read on EtoBox.

This document discusses the effect of noise on a Hopf bifurcation. It is proved that when parameters in a general system undergoing a Hopf bifurcation are subject to noise, the stochastic normal form contains new terms not present in the deterministic normal form. This is due to a phenomenon called stochastic resonance. The analysis involves deriving stochastic differential equations for the system with noisy parameters, and reducing these equations to a stochastic normal form on the center manifold in orde

Author

happel

Language

EN