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Our analyses are performed numerically in the H\u00e9non map and experimentally in a Chua\u2019s circuit. Finally, we discuss how our approach can be used to treat the data coming from experimental complex systems and for technological applications.<\/jats:p>","DOI":"10.1063\/1.3263943","type":"journal-article","created":{"date-parts":[[2009,11,21]],"date-time":"2009-11-21T03:21:16Z","timestamp":1258773676000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Dynamical estimates of chaotic systems from Poincar\u00e9 recurrences"],"prefix":"10.1063","volume":"19","author":[{"given":"M. S.","family":"Baptista","sequence":"first","affiliation":[{"name":"University of Aberdeen 1 Institute for Complex Systems and Mathematical Biology, King\u2019s College, , AB24 3UE Aberdeen, United Kingdom"},{"name":"Centro de Matem\u00e1tica da Universidade do Porto 2 , Rua do Campo Alegre 687, 4169-007 Porto, Portugal"}]},{"given":"Dariel M.","family":"Maranh\u00e3o","sequence":"additional","affiliation":[{"name":"University of S\u00e3o Paulo 3 Institute of Physics, , Rua do Mat\u00e3o, Travessa R 187, 05508-090 S\u00e3o Paulo, Brazil"}]},{"given":"J. C.","family":"Sartorelli","sequence":"additional","affiliation":[{"name":"University of S\u00e3o Paulo 3 Institute of Physics, , Rua do Mat\u00e3o, Travessa R 187, 05508-090 S\u00e3o Paulo, Brazil"}]}],"member":"317","published-online":{"date-parts":[[2009,11,20]]},"reference":[{"year":"1997","key":"2023062216391177300_c1a"},{"volume-title":"Chaos, Fractals, and Noise","year":"1994","key":"2023062216391177300_c1b"},{"volume-title":"Chaos, An Introduction to Dynamical Systems","year":"1997","key":"2023062216391177300_c2a"},{"volume-title":"Nonlinear Time Series Analysis","year":"1997","key":"2023062216391177300_c2b"},{"key":"2023062216391177300_c3","doi-asserted-by":"publisher","first-page":"066217","DOI":"10.1103\/PhysRevE.78.066217","volume":"78","year":"2008","journal-title":"Phys. Rev. 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