Title: Oscillons in the presence of external potential,
Abstract: We discuss similarity between oscillons and oscillational mode in perturbed
$\phi^4$. For small depths of the perturbing potential it is difficult to
distinguish between oscillons and the mode in moderately long time evolution,
moreover one can transform one into the other by adiabatically switching on and
off the potential. Basins of attraction are presented in the parameter space
describing the potential and initial conditions.