(1) ETS Ingeniería Informática, Universidad de Sevilla, Avda Reina Mercedes s/n, 41012 Seville, Spain;(2) Facultad de Física, Universidad de Sevilla, Avda Reina Mercedes s/n, 41012 Seville, Spain
Abstract:
We study the interaction of moving localized oscillations with a local inhomogeneity in a discrete nonlinear Hamiltonian system. We conjecture that resonance with a static nonlinear localized oscillation centered at the local inhomogeneity is a necessary condition for observing the trapping phenomenon. Analytic calculations and numerical simulations agree well with our hypothesis.