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Nonreciprocal wave scattering on nonlinear string-coupled oscillators

  • 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.

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Metadaten
Author details:Stefano Lepri, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1063/1.4899205
ISSN:1054-1500
ISSN:1089-7682
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/25554039
Title of parent work (English):Chaos : an interdisciplinary journal of nonlinear science
Publisher:American Institute of Physics
Place of publishing:Melville
Publication type:Article
Language:English
Year of first publication:2014
Publication year:2014
Release date:2017/03/26
Volume:24
Issue:4
Number of pages:9
Funding institution:INFN; Russian Ministry of Education and Science [02.49.21.0003]; Lobachevsky State University of Nizhni Novgorod [02.49.21.0003]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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