Quasipotentials with more than two variables: new evaluation at equilibrium points of the drift
arXiv:1206.4497 · doi:10.1016/j.physleta.2013.07.010
Abstract
The relevant quasipotential near an equilibrium point is determined by a new linear matrix equation, with less unknowns than an existing (possibly nonlinear) one. This also assures the asymptotic fulfillment of the Fokker-Planck equation, even globally due to the second term in the noise strength. An auxiliary result for the exit problem is derived as well.
Some results of arXiv.org/abs/1204.4681 are extended to more than 2 variables. Former title: "Nonminimum quasipotentials for the actual weak noise solution of Fokker-Planck equations"