Av. Buryak et Pv. Elyutin, OFF-RESONANT SUPPRESSION OF STOCHASTICITY IN THE GENERALIZED PULLEN-EDMONDS SYSTEM, Physics letters. A, 177(1), 1993, pp. 21-28
The influence of a small difference between the frequencies of the nor
mal modes of a two-dimensional nonlinear oscillator on the onset of st
ochasticity is studied. The energy half-width of the stochastic layer
in the vicinity of the separatrix is calculated using Chirikov's appro
ximation. The nonmonotonic dependence of the half-width on the deviati
on from resonance and the eventual vanishing of the stochastic layer a
re found.