TY  - JOUR
A1  - Lepri, Stefano
A1  - Pikovskij, Arkadij
T1  - Nonreciprocal wave scattering on nonlinear string-coupled oscillators
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - 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 analyzed 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. (C) 2014 AIP Publishing LLC.
Y1  - 2014
U6  - https://doi.org/10.1063/1.4899205
SN  - 1054-1500
SN  - 1089-7682
VL  - 24
IS  - 4
PB  - American Institute of Physics
CY  - Melville
ER  -