Diagrammatic perturbation theory for Stochastic nonlinear oscillators

Akshay Pal, Jayanta Kumar Bhattacharjee

We consider the stochastically driven one dimensional nonlinear oscillator $\ddot{x}+2\Gamma \dot{x}+{\omega }_0^{2}x+\lambda x^3=f(t)$ where f(t) is a Gaussian noise which, for the bulk of the work,…