{"id":"https://openalex.org/W2155681715","doi":"https://doi.org/10.1142/s0218127408020483","title":"TIME SCALING OF CHAOTIC SYSTEMS: APPLICATION TO SECURE COMMUNICATIONS","display_name":"TIME SCALING OF CHAOTIC SYSTEMS: APPLICATION TO SECURE COMMUNICATIONS","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2155681715","doi":"https://doi.org/10.1142/s0218127408020483","mag":"2155681715"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127408020483","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408020483","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0710.4223","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"DONATELLO MATERASSI","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"DONATELLO MATERASSI","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, via S. Marta, 3, I-50139 Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, via S. Marta, 3, I-50139 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":null,"display_name":"MICHELE BASSO","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"MICHELE BASSO","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, via S. Marta, 3, I-50139 Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, via S. Marta, 3, I-50139 Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":2.2513,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.88364987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"02","first_page":"567","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.5713000297546387,"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":0.5713000297546387,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.2980000078678131,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11498","display_name":"Security in Wireless Sensor Networks","score":0.0142000000923872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6205000281333923},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5703999996185303},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5422000288963318},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5307999849319458},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5029000043869019},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4530999958515167},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.4343999922275543},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43050000071525574}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6205000281333923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5888000130653381},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5703999996185303},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5422000288963318},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5307999849319458},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5029000043869019},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4343999922275543},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43050000071525574},{"id":"https://openalex.org/C510870077","wikidata":"https://www.wikidata.org/wiki/Q7444868","display_name":"Secure communication","level":3,"score":0.41600000858306885},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4075999855995178},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3955000042915344},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35910001397132874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3582000136375427},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.32280001044273376},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3158000111579895},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.28279998898506165},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.2529999911785126}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127408020483","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408020483","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"},{"id":"pmh:oai:arXiv.org:0710.4223","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0710.4223","pdf_url":"https://arxiv.org/pdf/0710.4223","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/317567","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/317567","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0710.4223","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0710.4223","pdf_url":"https://arxiv.org/pdf/0710.4223","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1970442252","https://openalex.org/W1993335209","https://openalex.org/W2009956047","https://openalex.org/W2010494680","https://openalex.org/W2022351876","https://openalex.org/W2103405350","https://openalex.org/W2126238296","https://openalex.org/W2154328637","https://openalex.org/W2162591675"],"related_works":[],"abstract_inverted_index":{"The":[0,47,64],"paper":[1],"deals":[2],"with":[3],"time-scaling":[4,54],"transformations":[5],"of":[6,15,21,60],"dynamical":[7],"systems.":[8],"Such":[9],"scaling":[10],"functions":[11],"operate":[12],"a":[13,32,38,52,61,76],"change":[14],"coordinates":[16],"on":[17,51],"the":[18,22,58],"time":[19],"axis":[20],"system":[23],"trajectories":[24],"preserving":[25],"its":[26],"phase":[27],"portrait.":[28],"Exploiting":[29],"this":[30],"property,":[31],"chaos":[33],"encryption":[34],"technique":[35],"to":[36,70],"transmit":[37],"binary":[39],"signal":[40,67],"through":[41],"an":[42],"analog":[43],"channel":[44],"is":[45,49,68],"proposed.":[46],"scheme":[48],"based":[50],"suitable":[53],"function":[55],"which":[56],"plays":[57],"role":[59],"private":[62],"key.":[63],"encoded":[65],"transmitted":[66],"proved":[69],"resist":[71],"known":[72],"decryption":[73],"attacks":[74],"offering":[75],"secure":[77],"and":[78],"reliable":[79],"communication.":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2016-06-24T00:00:00"}