We study scattering of a periodic wave in a string on two lumped oscillators
attached to it. The equations can be represented as a driven (by the incident
wave) dissipative (due to radiation losses) system of delay differential
equations of neutral type. Nonlinearity of oscillators makes the scattering
non-reciprocal: the same wave is transmitted differently in two directions.
Periodic regimes of scattering are analysed approximately, using amplitude
equation approach. We show that this setup can act as a nonreciprocal modulator
via Hopf bifurcations of the steady solutions. Numerical simulations of the
full system reveal nontrivial regimes of quasiperiodic and chaotic scattering.
Moreover, a regime of a "chaotic diode", where transmission is periodic in one
direction and chaotic in the opposite one, is reported.Comment: Version accepted for publicatio
