4 problems

Consider long-time-scale modelling of stochastic oscillations, including models such as the Duffing–van der Pol stochastic oscillator and models whose equations depend on the chose…

Let $\psi_r$ and $\psi_i$ be the quadratic noise processes arising in the refined stochastic amplitude equations for the Duffing–van der Pol oscillator, and let $\phi$ denote the o…

A macroscale stochastic differential equation models processes arising from microscale dynamics, and the microscale processes may induce a distinction between Itô and Stratonovich…

Full-coupling accuracy conjecture. Although the radius of convergence is unknown, evaluation at the physical case of full coupling $gamma=1$ should be sufficiently accurate to form…