{"id":"https://openalex.org/W2011834216","doi":"https://doi.org/10.1142/s0218127402006011","title":"AUTOWAVES AND SOLITONS IN A THREE-COMPONENT REACTION\u2013DIFFUSION SYSTEM","display_name":"AUTOWAVES AND SOLITONS IN A THREE-COMPONENT REACTION\u2013DIFFUSION SYSTEM","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W2011834216","doi":"https://doi.org/10.1142/s0218127402006011","mag":"2011834216"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127402006011","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402006011","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/A5091446815","display_name":"Vladimir I. Nekorkin","orcid":"https://orcid.org/0000-0003-0173-587X"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210161229","display_name":"Institute of Applied Physics","ror":"https://ror.org/05nnv1197","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210161229"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. I. NEKORKIN","raw_affiliation_strings":["Institute of Applied Physics of the Russian  Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","Institute of Applied Physics of the Russian Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics of the Russian  Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Institute of Applied Physics of the Russian Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","institution_ids":["https://openalex.org/I4210161229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056817341","display_name":"Victor Kazantsev","orcid":"https://orcid.org/0000-0002-2881-6648"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210161229","display_name":"Institute of Applied Physics","ror":"https://ror.org/05nnv1197","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210161229"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. B. KAZANTSEV","raw_affiliation_strings":["Institute of Applied Physics of the Russian  Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","Institute of Applied Physics of the Russian Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics of the Russian  Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Institute of Applied Physics of the Russian Academy of Science, 46 Uljanov Street, 603950 Nizhny Novgorod, Russia","institution_ids":["https://openalex.org/I4210161229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2297,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.55515632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"11","first_page":"2421","last_page":"2434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9976999759674072,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/autowave","display_name":"Autowave","score":0.9717557430267334},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8694215416908264},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.7613818645477295},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6149313449859619},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5567533373832703},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5304298400878906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4815502464771271},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4690972566604614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45728394389152527},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4503815770149231},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.4449550211429596},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.43503546714782715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40702012181282043},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3382858633995056},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13481548428535461}],"concepts":[{"id":"https://openalex.org/C2625741","wikidata":"https://www.wikidata.org/wiki/Q1069450","display_name":"Autowave","level":2,"score":0.9717557430267334},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8694215416908264},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.7613818645477295},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6149313449859619},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5567533373832703},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5304298400878906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4815502464771271},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4690972566604614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45728394389152527},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4503815770149231},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.4449550211429596},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.43503546714782715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40702012181282043},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3382858633995056},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13481548428535461},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127402006011","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402006011","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W195919058","https://openalex.org/W1973276766","https://openalex.org/W1973518722","https://openalex.org/W1988582630","https://openalex.org/W2002428472","https://openalex.org/W2031245017","https://openalex.org/W2035165999","https://openalex.org/W2059873786","https://openalex.org/W2073532412","https://openalex.org/W2081849014","https://openalex.org/W2113766246","https://openalex.org/W4230765294"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W3115184012","https://openalex.org/W2010606039","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W2112325763","https://openalex.org/W2065034950","https://openalex.org/W2084618729","https://openalex.org/W2045215015"],"abstract_inverted_index":{"We":[0,37,57,80],"study":[1],"the":[2,15,18,25,40,45,50,54,61],"propagation":[3],"of":[4,14,17,27,30,34,53],"nonlinear":[5,35],"waves":[6],"in":[7,67],"a":[8,31,83,88],"three-component":[9],"reaction\u2013diffusion":[10],"system.":[11],"The":[12],"problem":[13],"existence":[16],"stationary":[19],"pulse-like":[20],"solutions":[21],"is":[22],"reduced":[23],"to":[24,44],"analysis":[26],"homoclinic":[28,46],"trajectories":[29],"fourth-order":[32],"system":[33],"ODEs.":[36],"have":[38,58,81],"obtained":[39],"parameter":[41],"set":[42],"corresponding":[43],"bifurcations":[47],"that":[48,60],"defines":[49],"velocity":[51],"spectra":[52],"traveling":[55],"pulses.":[56],"shown":[59],"pulses":[62],"behave":[63],"like":[64,71],"autowaves":[65],"annihilating":[66],"head-on":[68],"collision":[69],"and":[70],"dissipative":[72],"solitons":[73],"crossing":[74],"each":[75],"other,":[76],"reflecting":[77],"at":[78],"boundaries.":[79],"provided":[82],"qualitative":[84],"explanation":[85],"for":[86],"such":[87],"behavior.":[89]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
