{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T01:22:59Z","timestamp":1776820979079,"version":"3.51.2"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,4]]},"abstract":"<jats:p>The topological analysis of chaotic attractor by means of template is rather well established for simple attractors as solution to the R\u00f6ssler system. Lorenz-like attractors are already slightly more complicated because they are bounded by a genus-3 bounding torus, implying the necessity to use a two-component Poincar\u00e9 section. In this paper, we enriched the concept of linking matrix to correctly describe an algebraic template for an attractor with (g - 1) components of Poincar\u00e9 section and whose bounding torus has g interior holes aligned. An example with g = 5 \u2014 a multispiral attractor \u2014 is explicitly treated.<\/jats:p>","DOI":"10.1142\/s021812741450045x","type":"journal-article","created":{"date-parts":[[2014,4,23]],"date-time":"2014-04-23T09:12:34Z","timestamp":1398244354000},"page":"1450045","source":"Crossref","is-referenced-by-count":15,"title":["Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus"],"prefix":"10.1142","volume":"24","author":[{"given":"Martin","family":"Rosalie","sequence":"first","affiliation":[{"name":"CORIA-UMR 6614\u2013Normandie Universit\u00e9, CNRS\u2013Universit\u00e9 et INSA de Rouen, Campus Universitaire du Madrillet, 76800 Saint-Etienne-du-Rouvray, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christophe","family":"Letellier","sequence":"additional","affiliation":[{"name":"CORIA-UMR 6614\u2013Normandie Universit\u00e9, CNRS\u2013Universit\u00e9 et INSA de Rouen, Campus Universitaire du Madrillet, 76800 Saint-Etienne-du-Rouvray, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,4,23]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000729"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(83)90045-9"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.70.056214"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.34.4971"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0093387"},{"key":"rf6","volume-title":"The Topology of Chaos","author":"Gilmore R.","year":"2002"},{"key":"rf7","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195310658.001.0001","volume-title":"The Symmetry of Chaos","author":"Gilmore R.","year":"2007"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-8167.1999.tb00191.x"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1063\/1.3156832"},{"key":"rf10","volume-title":"Elementary Symbolic Dynamics and Chaos in Dissipative Systems","author":"Hao B.-L.","year":"1989"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.01.009"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90722-6"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.4693"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.3492"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1063\/1.166076"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1051\/jp2:1996152"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127496001624"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.63.016206"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.85.036204"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/46\/6\/065102"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf22","doi-asserted-by":"crossref","DOI":"10.1007\/BF02742713","volume-title":"Les M\u00e9thodes Nouvelles de la M\u00e9canique C\u00e9leste","author":"Poincar\u00e9 H.","year":"1899"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/46\/37\/375101"},{"key":"rf24","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1515\/zna-1976-3-408","volume":"31","author":"R\u00f6ssler O. 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