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Volumn 77, Issue 2, 2008, Pages

Singularities and symmetry breaking in swarms

Author keywords

[No Author keywords available]

Indexed keywords

GLOBAL OPTIMIZATION; LARGE SCALE SYSTEMS; MOLECULAR INTERACTIONS; TOPOLOGY;

EID: 40849145523     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.021920     Document Type: Article
Times cited : (35)

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    • It is easy to illustrate the undesired phenomenon of the linearity rule. Suppose that there are two neighboring agents heading east and west, respectively, for the direction domain [0,2π). The average direction of these agents is π/2; however, for the direction domain (0,2π], the average direction is 3π/2. See also Appendix.
    • It is easy to illustrate the undesired phenomenon of the linearity rule. Suppose that there are two neighboring agents heading east and west, respectively, for the direction domain [0,2π). The average direction of these agents is π/2; however, for the direction domain (0,2π], the average direction is 3π/2. See also Appendix.
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    • Such a direction assignment can be found implicitly in some prior swarm models.
    • Such a direction assignment can be found implicitly in some prior swarm models.


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