Pattern generation by dissipative parametric instability

A.M. Perego*, N. Tarasov, D.V. Churkin, S.K. Turitsyn, K. Staliunas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article numbere028701
Number of pages5
JournalPhysical Review Letters
Issue number2
Publication statusPublished - 13 Jan 2016

Bibliographical note

© 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)


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