{"id":"https://openalex.org/W2031519287","doi":"https://doi.org/10.1142/s0218127409025122","title":"SIMPLIFIED TREATMENT OF TEMPLATES BOUNDED BY A GENUS-1 TORUS","display_name":"SIMPLIFIED TREATMENT OF TEMPLATES BOUNDED BY A GENUS-1 TORUS","publication_year":2009,"publication_date":"2009-11-01","ids":{"openalex":"https://openalex.org/W2031519287","doi":"https://doi.org/10.1142/s0218127409025122","mag":"2031519287"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409025122","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409025122","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101679553","display_name":"Juan Carlos Mart\u00edn","orcid":"https://orcid.org/0000-0002-8738-753X"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. C. MART\u00cdN","raw_affiliation_strings":["Universidad de Zaragoza. Dpto. F\u00edsica Aplicada, Instituto de Investigaci\u00f3n en Ingenier\u00eda de Arag\u00f3n (I3A), C/Pedro Cerbuna, 12, E-50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Zaragoza. Dpto. F\u00edsica Aplicada, Instituto de Investigaci\u00f3n en Ingenier\u00eda de Arag\u00f3n (I3A), C/Pedro Cerbuna, 12, E-50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011426107","display_name":"Javier Used","orcid":"https://orcid.org/0000-0002-6753-394X"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. USED","raw_affiliation_strings":["Universidad de Zaragoza. Dpto. F\u00edsica Aplicada, Instituto de Investigaci\u00f3n en Ingenier\u00eda de Arag\u00f3n (I3A), C/Pedro Cerbuna, 12, E-50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Zaragoza. Dpto. F\u00edsica Aplicada, Instituto de Investigaci\u00f3n en Ingenier\u00eda de Arag\u00f3n (I3A), C/Pedro Cerbuna, 12, E-50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101679553"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":0.2404,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54959495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"19","issue":"11","first_page":"3803","last_page":"3812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6972051858901978},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6929896473884583},{"id":"https://openalex.org/keywords/template","display_name":"Template","score":0.66792231798172},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6202824711799622},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.5900880098342896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5715473294258118},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.525238037109375},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4917741119861603},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.424361914396286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3929326832294464},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3826144337654114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3314352035522461},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14057618379592896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12145191431045532},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1213853657245636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10367760062217712}],"concepts":[{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6972051858901978},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6929896473884583},{"id":"https://openalex.org/C82714645","wikidata":"https://www.wikidata.org/wiki/Q438331","display_name":"Template","level":2,"score":0.66792231798172},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6202824711799622},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5900880098342896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5715473294258118},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.525238037109375},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4917741119861603},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.424361914396286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3929326832294464},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3826144337654114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3314352035522461},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14057618379592896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12145191431045532},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1213853657245636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10367760062217712},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409025122","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409025122","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W390606","https://openalex.org/W1662196742","https://openalex.org/W1964840403","https://openalex.org/W1967797812","https://openalex.org/W1978757958","https://openalex.org/W2000818380","https://openalex.org/W2007518905","https://openalex.org/W2011234687","https://openalex.org/W2013736909","https://openalex.org/W2014278554","https://openalex.org/W2017536114","https://openalex.org/W2017623289","https://openalex.org/W2041999286","https://openalex.org/W2046449465","https://openalex.org/W2076174416","https://openalex.org/W2081399011","https://openalex.org/W2087041896","https://openalex.org/W2090439465","https://openalex.org/W2091260137","https://openalex.org/W2094413555","https://openalex.org/W4211187698","https://openalex.org/W4253904265"],"related_works":["https://openalex.org/W2379488025","https://openalex.org/W2318462079","https://openalex.org/W2585728124","https://openalex.org/W2169362996","https://openalex.org/W2340294931","https://openalex.org/W2565482338","https://openalex.org/W2001163940","https://openalex.org/W2121212734","https://openalex.org/W2082884906","https://openalex.org/W3014531371"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,18,65,87,91],"simplified":[3],"treatment":[4,78],"of":[5,13,36,42,59],"templates":[6],"used":[7],"to":[8,63],"summarize":[9],"the":[10,45,52,57,72,76,80],"topological":[11],"properties":[12],"chaotic":[14],"attractors":[15],"bounded":[16],"by":[17],"genus-1":[19],"torus.":[20],"The":[21],"reduction":[22],"is":[23],"based":[24],"on":[25],"determinism":[26],"and":[27,44],"flow":[28],"continuity,":[29],"which":[30,48],"impose":[31],"tight":[32],"relations":[33],"between":[34,40],"torsions":[35],"each":[37],"branch,":[38],"rotations":[39],"pairs":[41],"branches":[43],"order":[46],"in":[47,94],"they":[49],"join":[50],"at":[51],"branch":[53],"line.":[54],"This":[55],"way,":[56],"number":[58],"integer":[60],"parameters":[61],"necessary":[62],"characterize":[64],"template":[66,83],"can":[67],"be":[68],"reduced.":[69],"Apart":[70],"from":[71,86],"purely":[73],"theoretical":[74],"interest,":[75],"new":[77],"simplifies":[79],"procedure":[81],"for":[82],"determination":[84],"starting":[85],"time":[88],"series,":[89],"with":[90],"consequential":[92],"save":[93],"computation":[95],"time.":[96]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}