Fig. 2: Evolution of the Arnold web as a function of the coupling strength at \(E=34\) kcal mol\({}^{-1}\).
From: Stable chaos and delayed onset of statisticality in unimolecular dissociation reactions
a Arnold web, projected on to the \(({J}_{1},{J}_{2})\) action space, as a function of increasing coupling strength \(\epsilon\) for initial conditions on the phase space slice \(({\theta }_{1},{\theta }_{2},{\theta }_{3})=(\pi /2,\pi /2,0)\) propagated upto a final time \(T=40\) ps. Yellow regions indicate chaos. For \(\epsilon =1{0}^{-4}\) case, a prominent 1\(:\)1 stretch-bend resonance (green arrow) and a junction (blue circle) formed by the intersection of two such independent resonances are highlighted. b Trajectory lifetimes (in picoseconds) corresponding to the initial conditions on the Arnold web in a for varying \(\epsilon\) values. c Zooming into a portion of the Arnold web for \(\epsilon =1{0}^{-3}\). d, e As in c for \(\epsilon =0.1\). Note the different FLI scales. All the plots shown here are computed on a 500 \(\times\) 500 uniform grid of initial conditions. Note that all FLI values greater than or equal to the maximum scale indicated are shown in yellow.
