Pattern generation by dissipative parametric instability

Perego, A.M., Tarasov, N., Churkin, D.V., Turitsyn, S.K. and Staliunas, K. (2016). Pattern generation by dissipative parametric instability. Physical Review Letters, 116 (2),


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.

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Divisions: Engineering & Applied Sciences > Electrical, Electronic & Power Engineering
Engineering & Applied Sciences
Engineering & Applied Sciences > Aston Institute of Photonics Technology
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 (; 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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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... Lett.116.028701 (Publisher URL)
Published Date: 2016-01-13
Authors: Perego, A.M.
Tarasov, N. ( 0000-0002-0583-8449)
Churkin, D.V.
Turitsyn, S.K. ( 0000-0003-0101-3834)
Staliunas, K.



Version: Accepted Version

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