{"id":"https://openalex.org/W2183997980","doi":"https://doi.org/10.1142/s0218127415300347","title":"Noise Induced Jumping Dynamics Between Synchronized Modes","display_name":"Noise Induced Jumping Dynamics Between Synchronized Modes","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2183997980","doi":"https://doi.org/10.1142/s0218127415300347","mag":"2183997980"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415300347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300347","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/A5081724915","display_name":"Shannon D. Algar","orcid":"https://orcid.org/0000-0002-5900-9611"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shannon D. Algar","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076413769","display_name":"Thomas Stemler","orcid":"https://orcid.org/0000-0003-2485-6666"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Thomas Stemler","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029234387","display_name":"Bernard De Saedeleer","orcid":null},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bernard De Saedeleer","raw_affiliation_strings":["Georges Lema\u00eetre Centre for Earth and Climate Research, Universit\u00e9 Catholique de Louvain, L4.03.08 MERCATOR Place Louis Pasteur, 3, B-1348, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georges Lema\u00eetre Centre for Earth and Climate Research, Universit\u00e9 Catholique de Louvain, L4.03.08 MERCATOR Place Louis Pasteur, 3, B-1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08946112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"25","issue":"12","first_page":"1530034","last_page":"1530034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998999834060669,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998999834060669,"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":0.9990000128746033,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6939685940742493},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.6906625628471375},{"id":"https://openalex.org/keywords/jumping","display_name":"Jumping","score":0.6443411111831665},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6404961943626404},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.6331188082695007},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5862288475036621},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5674874782562256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4985063076019287},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4729093015193939},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.44289156794548035},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.440576434135437},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3597699999809265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23797106742858887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22323763370513916},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.21730852127075195},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14163058996200562},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11794266104698181},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.05990630388259888}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6939685940742493},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.6906625628471375},{"id":"https://openalex.org/C2779897013","wikidata":"https://www.wikidata.org/wiki/Q1151752","display_name":"Jumping","level":2,"score":0.6443411111831665},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6404961943626404},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.6331188082695007},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5862288475036621},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5674874782562256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4985063076019287},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4729093015193939},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.44289156794548035},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.440576434135437},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3597699999809265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23797106742858887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22323763370513916},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.21730852127075195},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14163058996200562},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11794266104698181},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.05990630388259888},{"id":"https://openalex.org/C42407357","wikidata":"https://www.wikidata.org/wiki/Q521","display_name":"Physiology","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":3,"locations":[{"id":"doi:10.1142/s0218127415300347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300347","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:pure.atira.dk:publications/20b5de0a-cab5-447d-82cc-a776c584072c","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/20b5de0a-cab5-447d-82cc-a776c584072c","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algar , S , Stemler , T & De Saedeleer , B 2015 , ' Noise Induced Jumping Dynamics between Synchronized Modes ' , International Journal of Bifurcation and Chaos , vol. 25 , no. 12 , pp. 1530034 . https://doi.org/10.1142/S0218127415300347","raw_type":"article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:196850","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/196850","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, Vol. 25, no.12, p. 1530034 (2015)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W612741145","https://openalex.org/W1484033701","https://openalex.org/W1620414136","https://openalex.org/W1876456565","https://openalex.org/W1982935986","https://openalex.org/W1996559499","https://openalex.org/W2017524342","https://openalex.org/W2021165163","https://openalex.org/W2022545034","https://openalex.org/W2029030701","https://openalex.org/W2029044694","https://openalex.org/W2047972168","https://openalex.org/W2050094722","https://openalex.org/W2080041388","https://openalex.org/W2082859688","https://openalex.org/W2085266415","https://openalex.org/W2089876099","https://openalex.org/W2095058792","https://openalex.org/W2160249645","https://openalex.org/W2739685101","https://openalex.org/W3037706425","https://openalex.org/W3098108568","https://openalex.org/W3204253369","https://openalex.org/W4211019631","https://openalex.org/W4234011924","https://openalex.org/W4239456296","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W648845647","https://openalex.org/W2321701423","https://openalex.org/W2381882558","https://openalex.org/W2325589451","https://openalex.org/W4388849567","https://openalex.org/W2486266915","https://openalex.org/W2541598132","https://openalex.org/W964501512","https://openalex.org/W2058244203","https://openalex.org/W3013851045"],"abstract_inverted_index":{"Synchronization":[0],"is":[1,102],"a":[2,6,44,84],"common":[3],"phenomenon":[4],"whereby":[5],"dynamical":[7],"system":[8,111],"follows":[9],"the":[10,30,40,58,63,66,71,78,99],"pacemaker":[11],"provided":[12],"by":[13,39,54],"an":[14,75],"external":[15],"forcing.":[16],"Often,":[17],"such":[18],"systems":[19],"have":[20],"multiple":[21],"synchronization":[22,37],"modes,":[23,52],"which":[24],"are":[25,94],"equivalent":[26],"solutions.":[27],"We":[28],"investigate":[29],"specific":[31,95],"case":[32],"of":[33,43,57,77],"two":[34,50],"to":[35,96,109],"one":[36,55],"produced":[38],"periodic":[41],"forcing":[42],"van":[45],"der":[46],"Pol":[47],"oscillator":[48],"where":[49],"possible":[51],"shifted":[53],"period":[56],"modulation,":[59],"exist.":[60],"By":[61],"studying":[62],"flow":[64],"and":[65,105],"local":[67],"Lyapunov":[68],"exponents":[69],"along":[70],"orbit":[72],"we":[73],"give":[74],"explanation":[76],"noise":[79],"induced":[80],"jumps":[81],"observed":[82],"in":[83],"stochastic":[85],"forced":[86],"oscillator.":[87],"While":[88],"this":[89,97],"investigation":[90],"gives":[91],"results":[92],"that":[93],"system,":[98],"framework":[100],"presented":[101],"more":[103],"general":[104],"can":[106],"be":[107],"applied":[108],"any":[110],"showing":[112],"similar":[113],"jumping":[114],"dynamics.":[115]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}