Figure 1
From: Noise-induced switching from a symmetry-protected shallow metastable state
(a) The phase portrait of the mode that displays period tripling; Q and P are the quadratures (the coordinate and momentum in the rotating frame). Circles and squares show the stable states and the saddle points, respectively. The lines show the separatrices. The plot refers to κ = 0.4 and f = 2 in Eq. (4). (b) The part of the phase portrait inside the dashed square in (a) in the scaled coordinate and momentum q1 = fQ and q2 = fP. For \(f\gg 1\) the dynamics is described by Eq. (7). The green line that comes from the stable state shows the most probable path followed in escape for κ = 0.4. (c) The effective Hamiltonian (8) of motion around the shallow state q1 = q2 = 0 in the absence of dissipation. With dissipation, the local maximum at the origin becomes a stable state. (d) The contour plot of the Hamiltonian (c). The squares show the saddle points. These points shift in the presence of dissipation, as seen in (b), but the stable state remains at q1 = q2 = 0.
