Stochastically Perturbed Bifurcations
The methods of normal form and stochastic averaging are used appropriately to study nonlinear stochastic dynamical systems. General results obtained by those procedures are applied to study the effect of stochastic excitations on nonlinear systems which exhibit co-dimension one bifurcations. As an application the stochastic version of the Lorenz model is considered.
KeywordsNormal Form Rayleigh Number Hopf Bifurcation Bifurcation Point Center Manifold
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