Abstract

We solve the Langevin equation, consisting of a double-well potential and a periodic time-dependent driving term, with a deterministic, algebraically correlated noise. Homoclinic instabilities are studied by means of the Melnikov method. The influence of noise on chaotic motion is discussed in terms of Lyapunov exponents. The results are compared with the case of exponentially falling noise correlations. A simple example of passage over the potential barrier is considered in the context of dynamical stability.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call