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math.DS2009
Oscillations near separatrix for perturbed Duffing equation
O. M. Kiselev
A periodic perturbation generates a complicated dynamics close to separatrices and saddle points. We construct an asymptotic solution which is close to the separatrix for the unper…
math-ph2009
Autoresonant germ in dissipative system
Oleg Kiselev, Sergei Glebov
We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoreso…