{"id":"https://openalex.org/W2067056638","doi":"https://doi.org/10.1142/s0218127410027180","title":"CONSTRUCTION OF CHAOTIC MAPS ON NONCONVEX SPACES \u2014 A SOLUTION TO A CSK DECIPHERING PROBLEM","display_name":"CONSTRUCTION OF CHAOTIC MAPS ON NONCONVEX SPACES \u2014 A SOLUTION TO A CSK DECIPHERING PROBLEM","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2067056638","doi":"https://doi.org/10.1142/s0218127410027180","mag":"2067056638"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410027180","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027180","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/A5110314046","display_name":"G. Manjunath","orcid":null},"institutions":[{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G. MANJUNATH","raw_affiliation_strings":["LATTIS-Institut National des Sciences Appliqu\u00e9es de Toulouse, Universit\u00e9 de Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LATTIS-Institut National des Sciences Appliqu\u00e9es de Toulouse, Universit\u00e9 de Toulouse, France","institution_ids":["https://openalex.org/I196454796","https://openalex.org/I17866349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031427355","display_name":"Dani\u00e8le Fournier-Prunaret","orcid":"https://orcid.org/0000-0003-0036-8932"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. FOURNIER-PRUNARET","raw_affiliation_strings":["LATTIS-Institut National des Sciences Appliqu\u00e9es de Toulouse, Universit\u00e9 de Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LATTIS-Institut National des Sciences Appliqu\u00e9es de Toulouse, Universit\u00e9 de Toulouse, France","institution_ids":["https://openalex.org/I196454796","https://openalex.org/I17866349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110314046"],"corresponding_institution_ids":["https://openalex.org/I17866349","https://openalex.org/I196454796"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15357698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"08","first_page":"2553","last_page":"2559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9993000030517578,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9934999942779541,"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/chaotic","display_name":"Chaotic","score":0.6972780823707581},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.677484393119812},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6698138117790222},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6107704639434814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6002762317657471},{"id":"https://openalex.org/keywords/keying","display_name":"Keying","score":0.48237767815589905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37726035714149475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3592304587364197},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33840417861938477},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33269965648651123},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1483403444290161},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14754199981689453},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08195310831069946}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6972780823707581},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.677484393119812},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6698138117790222},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6107704639434814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6002762317657471},{"id":"https://openalex.org/C2776542216","wikidata":"https://www.wikidata.org/wiki/Q6398306","display_name":"Keying","level":2,"score":0.48237767815589905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37726035714149475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3592304587364197},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33840417861938477},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33269965648651123},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1483403444290161},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14754199981689453},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08195310831069946},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127410027180","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027180","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":[{"id":"https://metadata.un.org/sdg/11","score":0.5,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1569683457","https://openalex.org/W2037483348","https://openalex.org/W2043122625","https://openalex.org/W2103941230","https://openalex.org/W2155186124","https://openalex.org/W2161059357","https://openalex.org/W4249210728"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W4312490297","https://openalex.org/W2062212388"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33],"propose":[4],"a":[5,23,40,61],"solution":[6,63],"to":[7,22,64],"one":[8],"of":[9,42],"the":[10,14,27,46,66],"problems":[11],"raised":[12],"by":[13],"authors":[15],"[Manjunath":[16],"&":[17],"Fournier-Prunaret,":[18],"2009a]":[19],"with":[20],"regard":[21],"deciphering":[24,67],"issue":[25],"in":[26,69],"chaos":[28,70],"shift":[29,71],"keying":[30],"technique.":[31],"Here,":[32],"construct":[34],"maps":[35,44,58],"on":[36,45],"nonconvex":[37],"spaces":[38],"using":[39],"class":[41],"chaotic":[43],"(closed)":[47],"unit":[48],"square":[49],"and":[50],"prove":[51],"that":[52],"they":[53],"exhibit":[54],"chaos.":[55],"The":[56],"constructed":[57],"serve":[59],"as":[60],"practical":[62],"control":[65],"errors":[68],"keying.":[72]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}