Elyutin P V, Rogovenko A N
Department of Physics, Moscow State University, Moscow 119899, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):026610. doi: 10.1103/PhysRevE.63.026610. Epub 2001 Jan 25.
We investigate a particle confined within a double-well potential, its behavior described by a one-dimensional nonlinear Schrödinger equation. Transitions between the two lowest self-trapped states of this system are studied, in the two-mode approximation, under the influence of the external time-dependent perturbation. If the perturbation is harmonic in time, with the frequency omega, then transitions between the states become possible if the amplitude of the perturbation F exceeds some threshold value F(c)(omega); above this threshold motion of the system becomes chaotic. If the perturbation is broadband noise, then transitions between the states are possible at arbitrarily small F and occur in the process of the system's energy diffusion.
