{"id":"https://openalex.org/W2138813841","doi":"https://doi.org/10.1142/s0218127404009065","title":"NEW RESULTS ABOUT ROUTE TO CHAOS IN ROSSLER SYSTEM","display_name":"NEW RESULTS ABOUT ROUTE TO CHAOS IN ROSSLER SYSTEM","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2138813841","doi":"https://doi.org/10.1142/s0218127404009065","mag":"2138813841"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404009065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009065","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/A5062300477","display_name":"Svetoslav Nikolov","orcid":"https://orcid.org/0000-0002-6147-1354"},"institutions":[{"id":"https://openalex.org/I4210148896","display_name":"Institute of Mechanics","ror":"https://ror.org/03x78r446","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210148896"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"SVETOSLAV NIKOLOV","raw_affiliation_strings":["Institute of Mechanics and Biomechanics, Acad. G. Bonchev St., bl.4, 1113 Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Mechanics and Biomechanics, Acad. G. Bonchev St., bl.4, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210148896"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112538635","display_name":"V. G. Petrov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148896","display_name":"Institute of Mechanics","ror":"https://ror.org/03x78r446","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210148896"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"VALKO PETROV","raw_affiliation_strings":["Institute of Mechanics and Biomechanics, Acad. G. Bonchev St., bl.4, 1113 Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Mechanics and Biomechanics, Acad. G. Bonchev St., bl.4, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210148896"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062300477"],"corresponding_institution_ids":["https://openalex.org/I4210148896"],"apc_list":null,"apc_paid":null,"fwci":1.73,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.84766947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"01","first_page":"293","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9940000176429749,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9876999855041504,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.6273864507675171},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6187174320220947},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6125907897949219},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6125061511993408},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5514454245567322},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.5370383262634277},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5313532948493958},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5106049180030823},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4781288206577301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4675264358520508},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4567105174064636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3474791646003723},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19827982783317566},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19229480624198914},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07325121760368347}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.6273864507675171},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6187174320220947},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6125907897949219},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6125061511993408},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5514454245567322},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.5370383262634277},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5313532948493958},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5106049180030823},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4781288206577301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4675264358520508},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4567105174064636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474791646003723},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19827982783317566},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19229480624198914},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07325121760368347},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404009065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009065","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1496798092","https://openalex.org/W1652087296","https://openalex.org/W1967008192","https://openalex.org/W2061126498","https://openalex.org/W2088136518","https://openalex.org/W2124428761","https://openalex.org/W2152254020","https://openalex.org/W2500278320","https://openalex.org/W4206511281","https://openalex.org/W4229497514"],"related_works":["https://openalex.org/W1581278046","https://openalex.org/W2052017700","https://openalex.org/W2384000718","https://openalex.org/W2365276084","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2136889839","https://openalex.org/W2411553537","https://openalex.org/W2378640948","https://openalex.org/W2116440947"],"abstract_inverted_index":{"In":[0],"this":[1,44,85],"paper,":[2],"the":[3,11,19,27,32,47,50,60,70,79],"theory":[4],"of":[5,21,34,43,72,75,81],"Lyapunov\u2013Andronov":[6],"is":[7],"applied":[8],"to":[9,13,57],"investigate":[10],"route":[12],"chaos":[14,58],"in":[15,59,69,84],"Rossler":[16],"system.":[17,45],"On":[18],"base":[20],"a":[22,39,73],"new":[23,52],"analytical":[24],"formula":[25],"for":[26],"first":[28],"Lyapunov":[29],"value":[30],"at":[31,65],"boundary":[33],"stability":[35,67,91],"region,":[36],"we":[37],"make":[38],"detailed":[40],"bifurcation":[41],"analysis":[42],"From":[46],"obtained":[48],"results":[49],"following":[51],"conclusions":[53],"are":[54],"made:":[55],"Transition":[56],"Rossler's":[61],"system":[62,86],"takes":[63,87],"place":[64,88],"soft":[66],"loss":[68],"form":[71],"cascade":[74],"periodic":[76],"self-oscillations.":[77],"Then":[78],"occurrence":[80],"chaotic":[82],"self-oscillations":[83],"under":[89],"hard":[90],"loss.":[92]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}