{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T12:08:55Z","timestamp":1648814935083},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,9]]},"abstract":"<jats:p> Techniques for detecting encounters with unstable periodic orbits (UPOs) have been very successful in the analysis of noisy, experimental time series. We present here a technique for applying the topological recurrence method of UPO detection to spatially extended systems. This approach is tested on a network of diffusively coupled chaotic R\u00f6ssler systems, with both symmetric and asymmetric coupling schemes. We demonstrate how to extract encounters with UPOs from such data, and present a preliminary method for analyzing the results and extracting dynamical information from the data, based on a linear correlation analysis of the spatiotemporal occurrence of encounters with these low period UPOs. This analysis can provide an insight into the coupling structure of such a spatially extended system. <\/jats:p>","DOI":"10.1142\/s021812740300817x","type":"journal-article","created":{"date-parts":[[2003,10,16]],"date-time":"2003-10-16T06:47:26Z","timestamp":1066286846000},"page":"2673-2680","source":"Crossref","is-referenced-by-count":0,"title":["Spatiotemporal Distributions of Unstable  Periodic Orbits in Noisy Coupled Chaotic Systems"],"prefix":"10.1142","volume":"13","author":[{"given":"Kevin","family":"Dolan","sequence":"first","affiliation":[{"name":"Institute for Nonlinear Dynamics, University of Potsdam, Am Neuen Palais 19, 14415, Potsdam, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Annette","family":"Witt","sequence":"additional","affiliation":[{"name":"Institute for Nonlinear Dynamics, University of Potsdam, Am Neuen Palais 19, 14415, Potsdam, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00fcrgen","family":"Kurths","sequence":"additional","affiliation":[{"name":"Institute for Nonlinear Dynamics, University of Potsdam, Am Neuen Palais 19, 14415, Potsdam, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"Moss","sequence":"additional","affiliation":[{"name":"Center for Neurodynamics, University of Missouri at St. Louis, 8001 Natural Bridge Road, St. Louis, Missouri 63121, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/3\/2\/005"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.66.1389"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.64.041912"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008852000496"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008911409355"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(99)00009-0"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.62.6352"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.64.026213"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065791000029"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(97)00131-0"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.57.4594"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.4896"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.4848"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.2353"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.1196"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.2124"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1038\/379618a0"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065796000403"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(96)00301-6"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755743"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.3421"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.3401"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.1804"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(76)90101-8"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1038\/370615a0"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(99)00042-9"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.4705"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.5398"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican1293-102"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.3291"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.57.R2511"},{"key":"rf32","first-page":"1429","volume":"9","author":"Z\u00f6ller G.","journal-title":"Chaos Solit. 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