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Localized States in Bi-Pattern Systems
Joint Authors
Bortolozzo, U.
Clerc, M. G.
Haudin, F.
Rojas, R. G.
Residori, S.
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present a unifying description of localized states observed in systems with coexistence of two spatially periodic states, called bi-pattern systems.
Localized states are pinned over an underlying lattice that is either a self-organized pattern spontaneously generated by the system itself, or a periodic grid created by a spatial forcing.
We show that localized states are generic and require only the coexistence of two spatially periodic states.
Experimentally, these states have been observed in a nonlinear optical system.
At the onset of the spatial bifurcation, a forced one-dimensional amplitude equation is derived for the critical modes, which accounts for the appearance of localized states.
By numerical simulations, we show that localized structures persist on two-dimensional systems and exhibit different shapes depending on the symmetry of the supporting patterns.
American Psychological Association (APA)
Bortolozzo, U.& Clerc, M. G.& Haudin, F.& Rojas, R. G.& Residori, S.. 2009. Localized States in Bi-Pattern Systems. Advances in Nonlinear Optics،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-508728
Modern Language Association (MLA)
Residori, S.…[et al.]. Localized States in Bi-Pattern Systems. Advances in Nonlinear Optics No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-508728
American Medical Association (AMA)
Bortolozzo, U.& Clerc, M. G.& Haudin, F.& Rojas, R. G.& Residori, S.. Localized States in Bi-Pattern Systems. Advances in Nonlinear Optics. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-508728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508728