Asymptotic behaviour of measure for captured trajectories into   parametric autoresonance
  We study an asymptotic behaviour of parametric autoresonance for non-linear equation. Main result of this work is statement about asymptotic behaviour of measure for captured trajectories. To find this we obtain an asymptotic expansion for capture and asymptotic behaviour of splitted separatrices for intermediate small amplitudes. 
O.M. Kiselev
math.DS math-ph math.MP