{"department":[{"_id":"GaTk"}],"oa":1,"ec_funded":1,"abstract":[{"text":"We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be nontrivial. The structure of the network shows interesting hierarchical properties and in certain parameter regions the dynamics is polysynchronous: Nodes can be divided in differently synchronized classes but, contrary to cluster synchronization, nodes in the same class need not be connected to each other. These complicated synchrony patterns have been conjectured to play roles in systems biology and circuits. The adaptive system we study describes ways whereby this behavior can evolve from undifferentiated nodes.","lang":"eng"}],"date_published":"2014-06-16T00:00:00Z","oa_version":"Preprint","type":"journal_article","publist_id":"4798","article_number":"062809","publisher":"American Institute of Physics","issue":"6","day":"16","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"intvolume":"        89","date_created":"2018-12-11T11:56:11Z","language":[{"iso":"eng"}],"article_processing_charge":"No","title":"Hierarchy and polysynchrony in an adaptive network ","status":"public","acknowledgement":"V.B.S. is partially supported by contract MEC (Grant No. AYA2010-22111-C03-02).\r\n","publication_status":"published","volume":89,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1403.3209"}],"scopus_import":"1","month":"06","publication":"Physical Review E Statistical Nonlinear and Soft Matter Physics","citation":{"ista":"Botella Soler V, Glendinning P. 2014. Hierarchy and polysynchrony in an adaptive network . Physical Review E Statistical Nonlinear and Soft Matter Physics. 89(6), 062809.","mla":"Botella Soler, Vicente, and Paul Glendinning. “Hierarchy and Polysynchrony in an Adaptive Network .” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89, no. 6, 062809, American Institute of Physics, 2014, doi:<a href=\"https://doi.org/10.1103/PhysRevE.89.062809\">10.1103/PhysRevE.89.062809</a>.","chicago":"Botella Soler, Vicente, and Paul Glendinning. “Hierarchy and Polysynchrony in an Adaptive Network .” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics, 2014. <a href=\"https://doi.org/10.1103/PhysRevE.89.062809\">https://doi.org/10.1103/PhysRevE.89.062809</a>.","ama":"Botella Soler V, Glendinning P. Hierarchy and polysynchrony in an adaptive network . <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. 2014;89(6). doi:<a href=\"https://doi.org/10.1103/PhysRevE.89.062809\">10.1103/PhysRevE.89.062809</a>","apa":"Botella Soler, V., &#38; Glendinning, P. (2014). Hierarchy and polysynchrony in an adaptive network . <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1103/PhysRevE.89.062809\">https://doi.org/10.1103/PhysRevE.89.062809</a>","short":"V. Botella Soler, P. Glendinning, Physical Review E Statistical Nonlinear and Soft Matter Physics 89 (2014).","ieee":"V. Botella Soler and P. Glendinning, “Hierarchy and polysynchrony in an adaptive network ,” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89, no. 6. American Institute of Physics, 2014."},"year":"2014","_id":"2183","doi":"10.1103/PhysRevE.89.062809","quality_controlled":"1","author":[{"first_name":"Vicente","last_name":"Botella Soler","orcid":"0000-0002-8790-1914","id":"421234E8-F248-11E8-B48F-1D18A9856A87","full_name":"Botella Soler, Vicente"},{"full_name":"Glendinning, Paul","first_name":"Paul","last_name":"Glendinning"}],"date_updated":"2022-08-25T14:04:45Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87"}