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Employing techniques related to shape analysis, we show that these systems in most cases exhibit self-organization. Moreover, we consider spatial constraints of interactions, and additionaly show that particle systems can self-organize without the emergence of pattern-like structures. However, we will see that regular pattern-like structures help to overcome limitations of self-organization that are imposed by the spatial structure of interactions.<\/jats:p>","DOI":"10.1142\/s0219525912500890","type":"journal-article","created":{"date-parts":[[2012,10,24]],"date-time":"2012-10-24T06:12:16Z","timestamp":1351059136000},"page":"1250089","source":"Crossref","is-referenced-by-count":0,"title":["SELF-ORGANIZING PARTICLE SYSTEMS"],"prefix":"10.1142","volume":"16","author":[{"given":"MALTE","family":"HARDER","sequence":"first","affiliation":[{"name":"Adaptive Systems Research Group, University of Hertfortshire, College Lane, Hatfield, AL10 9AB, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DANIEL","family":"POLANI","sequence":"additional","affiliation":[{"name":"Adaptive Systems Research Group, University of Hertfortshire, College Lane, Hatfield, AL10 9AB, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,7,16]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219525908001465"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.biosystems.2007.05.018"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1162\/artl.1997.3.3.191"},{"key":"rf6","series-title":"Wiley Series in Telecommunications and Signal Processing","volume-title":"Elements of Information Theory","author":"Cover T. 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