Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise

W Xu, Q He, T Fang, H Rong - International Journal of Non-Linear …, 2004 - Elsevier
A global analysis of stochastic bifurcation in a special kind of Duffing system, named as
Ueda system, subject to a harmonic excitation and in presence of random noise disturbance
is studied in detail by the generalized cell mapping method using digraph. It is found that for
this dissipative system there exists a steady state random cell flow restricted within a pipe-
like manifold, the section of which forms one or two stable sets on the Poincare cell map.
These stable sets are called stochastic attractors (stochastic nodes), each of which owns its …
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