Ring states in swarmalator systems

Synchronization is a universal phenomenon, occurring in systems as disparate as Japanese tree frogs and Josephson junctions. Typically, the elements of synchronizing systems adjust the phases of their oscillations, but not their positions in space. The reverse scenario is found in swarming systems,...

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Bibliographic Details
Main Authors: Evers, Joep H. M. (Author), Kolokolnikov, Theodore (Author), O'Keeffe, Kevin P (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Urban Studies and Planning (Contributor), Massachusetts Institute of Technology. SENSEable City Laboratory (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2018-08-13T18:41:14Z.
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Online Access:Get fulltext
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042 |a dc 
100 1 0 |a Evers, Joep H. M.  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Urban Studies and Planning  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. SENSEable City Laboratory  |e contributor 
100 1 0 |a O'Keeffe, Kevin P  |e contributor 
700 1 0 |a Kolokolnikov, Theodore  |e author 
700 1 0 |a O'Keeffe, Kevin P  |e author 
245 0 0 |a Ring states in swarmalator systems 
260 |b American Physical Society,   |c 2018-08-13T18:41:14Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/117337 
520 |a Synchronization is a universal phenomenon, occurring in systems as disparate as Japanese tree frogs and Josephson junctions. Typically, the elements of synchronizing systems adjust the phases of their oscillations, but not their positions in space. The reverse scenario is found in swarming systems, such as schools of fish or flocks of birds; now the elements adjust their positions in space, but without (noticeably) changing their internal states. Systems capable of both swarming and synchronizing, dubbed swarmalators, have recently been proposed, and analyzed in the continuum limit. Here, we extend this work by studying finite populations of swarmalators, whose phase similarity affects both their spatial attraction and repulsion. We find ring states, and compute criteria for their existence and stability. Larger populations can form annular distributions, whose density we calculate explicitly. These states may be observable in groups of Japanese tree frogs, ferromagnetic colloids, and other systems with an interplay between swarming and synchronization. 
520 |a National Science Foundation (U.S.) (Grant DMS-1513179) 
520 |a National Science Foundation (U.S.) (Grant CCF-1522054) 
546 |a en 
655 7 |a Article 
773 |t Physical Review E