Nonreciprocal wave scattering on nonlinear string-coupled oscillators
Abstract
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.
Cite
@article{arxiv.1407.6555,
title = {Nonreciprocal wave scattering on nonlinear string-coupled oscillators},
author = {Stefano Lepri and Arkady Pikovsky},
journal= {arXiv preprint arXiv:1407.6555},
year = {2014}
}
Comments
Version accepted for publication