{"id":"https://openalex.org/W2964478629","doi":"https://doi.org/10.1142/s0218127419300234","title":"Counteracting the Dynamical Degradation of Digital Chaos by Applying Stochastic Jump of Chaotic Orbits","display_name":"Counteracting the Dynamical Degradation of Digital Chaos by Applying Stochastic Jump of Chaotic Orbits","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2964478629","doi":"https://doi.org/10.1142/s0218127419300234","mag":"2964478629"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419300234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419300234","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/A5024282072","display_name":"Chunlei Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chunlei Fan","raw_affiliation_strings":["Electrical Engineering College, Heilongjiang University, Harbin 150080, P. R. China"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering College, Heilongjiang University, Harbin 150080, P. R. China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048986916","display_name":"Qun Ding","orcid":"https://orcid.org/0000-0002-5520-6001"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qun Ding","raw_affiliation_strings":["Electrical Engineering College, Heilongjiang University, Harbin 150080, P. R. China"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering College, Heilongjiang University, Harbin 150080, P. R. China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021923917","display_name":"Chi K. Tse","orcid":"https://orcid.org/0000-0002-0462-3999"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chi K. Tse","raw_affiliation_strings":["Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024282072"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":null,"apc_paid":null,"fwci":1.4171,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.85421059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"29","issue":"08","first_page":"1930023","last_page":"1930023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998999834060669,"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/T10244","display_name":"Chaos control and synchronization","score":0.9987999796867371,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.7791868448257446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5877300500869751},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.5459782481193542},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.54543536901474},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.5382065773010254},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.49912571907043457},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44615015387535095},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.44525861740112305},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.43862223625183105},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4229056239128113},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4170164167881012},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4049701988697052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3961295485496521},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1032145619392395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09197449684143066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0807938277721405}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7791868448257446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5877300500869751},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.5459782481193542},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.54543536901474},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.5382065773010254},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.49912571907043457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44615015387535095},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.44525861740112305},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.43862223625183105},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4229056239128113},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4170164167881012},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4049701988697052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3961295485496521},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1032145619392395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09197449684143066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0807938277721405},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419300234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419300234","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":[{"id":"https://openalex.org/G3036539299","display_name":null,"funder_award_id":"61471158","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320310113","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1968971721","https://openalex.org/W1970984047","https://openalex.org/W1976799435","https://openalex.org/W2008916607","https://openalex.org/W2010006328","https://openalex.org/W2020870384","https://openalex.org/W2038811995","https://openalex.org/W2047165918","https://openalex.org/W2047830439","https://openalex.org/W2069436097","https://openalex.org/W2069733826","https://openalex.org/W2075110101","https://openalex.org/W2077204677","https://openalex.org/W2088639203","https://openalex.org/W2102892532","https://openalex.org/W2113005260","https://openalex.org/W2117344961","https://openalex.org/W2125566231","https://openalex.org/W2141394518","https://openalex.org/W2153936398","https://openalex.org/W2171498297","https://openalex.org/W2588934042","https://openalex.org/W2744302516","https://openalex.org/W2806320637","https://openalex.org/W2812715304"],"related_works":["https://openalex.org/W2988803943","https://openalex.org/W3195404686","https://openalex.org/W747394405","https://openalex.org/W3197756843","https://openalex.org/W2161451071","https://openalex.org/W1987236514","https://openalex.org/W174653542","https://openalex.org/W2045537535","https://openalex.org/W1984852966","https://openalex.org/W2072170204"],"abstract_inverted_index":{"The":[0],"performance":[1,86],"of":[2,20,34,78,88,101,107,129],"digital":[3,21,29,39,89],"chaotic":[4,30,40,79],"systems":[5],"in":[6,43,105],"secure":[7],"communications":[8],"and":[9,66,99,114,148],"cryptographic":[10],"applications":[11,45],"is":[12,81,123,143],"significantly":[13],"degraded":[14],"due":[15],"to":[16,27,47,61,83,95,125],"the":[17,35,38,85,97,102,127,130],"limited":[18],"precision":[19],"computational":[22],"devices":[23],"that":[24],"are":[25],"used":[26],"implement":[28],"systems.":[31],"However,":[32],"regardless":[33],"initial":[36],"value,":[37],"map":[41],"employed":[42],"these":[44],"converges":[46],"several":[48],"periodic":[49,53],"orbits.":[50],"Thus,":[51],"a":[52,134],"orbit":[54],"search":[55],"algorithm":[56],"(POSA)":[57],"can":[58],"be":[59],"designed":[60],"accurately":[62],"locate":[63],"fixed":[64],"points":[65],"limit":[67],"cycles.":[68],"In":[69],"addition,":[70],"an":[71],"effective":[72],"method":[73,104],"based":[74],"on":[75],"stochastic":[76],"jumps":[77],"orbits":[80],"proposed":[82,103,131],"counteract":[84],"degradation":[87],"chaos.":[90],"Numerical":[91],"simulations":[92],"were":[93],"performed":[94],"assess":[96],"effectiveness":[98],"feasibility":[100],"terms":[106],"autocorrelation,":[108],"phase":[109],"space":[110],"inspection,":[111],"approximate":[112],"entropy":[113],"periodicity":[115],"analysis.":[116],"Furthermore,":[117],"comparison":[118],"with":[119,139],"other":[120,149],"existing":[121],"methods":[122],"presented":[124],"show":[126],"competitiveness":[128],"scheme.":[132],"Finally,":[133],"pseudorandom":[135],"bit":[136],"generator":[137],"(PRBG),":[138],"desirable":[140],"statistical":[141],"properties,":[142],"constructed":[144],"for":[145],"chaos":[146],"cryptography":[147],"applications.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}