Abstract
Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of natural and engineered systems, ranging from biology to galaxy buildup. We propose a new instability mechanism leading to pattern formation in spatially extended nonlinear systems, which is based on a periodic antiphase modulation of spectrally dependent losses arranged in a zigzag way: an effective filtering is imposed at symmetrically located wave numbers k and -k in alternating order. The properties of the dissipative parametric instability differ from the features of both key classical concepts of modulation instabilities, i.e., the Benjamin-Feir instability and the Faraday instabiltyity. We demonstrate how the dissipative parametric instability can lead to the formation of stable patterns in one- and two-dimensional systems. The proposed instability mechanism is generic and can naturally occur or can be implemented in various physical systems.
Publication DOI: | https://doi.org/10.1103/PhysRevLett.116.028701 |
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Divisions: | Engineering & Applied Sciences > Electrical, electronic & power engineering Engineering & Applied Sciences Engineering & Applied Sciences > Institute of Photonics Engineering & Applied Sciences > Systems analytics research institute (SARI) |
Additional Information: | © 2016 American Physical Society. Pattern Generation by Dissipative Parametric Instability. A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas. Phys. Rev. Lett. 116, 028701 – Published 13 January 2016 -Funding: Spanish Ministerio de Educación y Ciencia; European FEDER Project (FIS2011-29731-C02-01); ERC project ULTRALASER, the Russian Ministry of Education and Science (14.B25.31.0003); Russian Foundation for Basic Research (15-02-07925); Presidential Grant for Young Researchers (14.120.14.228-MK); the Dinasty Foundation; Russian Science Foundation (Grant No. 14-21-00110); and ICONE Project through the Marie Curie Grant (608099) |
Uncontrolled Keywords: | Physics and Astronomy(all) |
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http://www.scopus.com/inward/record.url?scp=84954482587&partnerID=8YFLogxK
(Scopus URL) https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.028701 (Publisher URL) |
Published Date: | 2016-01-13 |
Authors: |
Perego, A.M.
Tarasov, N. ( ![]() Churkin, D.V. Turitsyn, S.K. ( ![]() Staliunas, K. |