{"id":"https://openalex.org/W2050740427","doi":"https://doi.org/10.1142/s021812740401165x","title":"MODULATED STANDING WAVES RESULTING FROM A HOPF\u2013WAVE INTERACTION IN A CHEMICAL MODEL","display_name":"MODULATED STANDING WAVES RESULTING FROM A HOPF\u2013WAVE INTERACTION IN A CHEMICAL MODEL","publication_year":2004,"publication_date":"2004-11-01","ids":{"openalex":"https://openalex.org/W2050740427","doi":"https://doi.org/10.1142/s021812740401165x","mag":"2050740427"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740401165x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740401165x","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/A5081310758","display_name":"Bego\u00f1a Pe\u00f1a","orcid":"https://orcid.org/0000-0001-9967-5806"},"institutions":[{"id":"https://openalex.org/I88155538","display_name":"Universidad de Navarra","ror":"https://ror.org/02rxc7m23","country_code":"ES","type":"education","lineage":["https://openalex.org/I88155538"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. PE\u00d1A","raw_affiliation_strings":["Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain","institution_ids":["https://openalex.org/I88155538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064381713","display_name":"C. P\u00e9rez\u2010Garc\u00eda","orcid":"https://orcid.org/0009-0001-6068-0728"},"institutions":[{"id":"https://openalex.org/I88155538","display_name":"Universidad de Navarra","ror":"https://ror.org/02rxc7m23","country_code":"ES","type":"education","lineage":["https://openalex.org/I88155538"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. P\u00c9REZ\u2013GARC\u00cdA","raw_affiliation_strings":["Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Spain","institution_ids":["https://openalex.org/I88155538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073276322","display_name":"Michael Bestehorn","orcid":"https://orcid.org/0000-0002-3152-8356"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. BESTEHORN","raw_affiliation_strings":["Lehrstuhl f\u00fcr Theoretische Physik, Statistische Physik und Nichtlineare Dynamik, Brandenburgische Technische Universit\u00e4t Cottbus, D-03046 Cottbus, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Theoretische Physik, Statistische Physik und Nichtlineare Dynamik, Brandenburgische Technische Universit\u00e4t Cottbus, D-03046 Cottbus, Germany","institution_ids":["https://openalex.org/I51783024"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2467,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65200545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"14","issue":"11","first_page":"3899","last_page":"3907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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":1.0,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9871000051498413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/standing-wave","display_name":"Standing wave","score":0.6868473291397095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6538026332855225},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5832939743995667},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.5424102544784546},{"id":"https://openalex.org/keywords/excited-state","display_name":"Excited state","score":0.5383274555206299},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5123425722122192},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4260685443878174},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4212530255317688},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4169155955314636},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.41152307391166687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37128889560699463},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.34020087122917175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3019603490829468},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18333619832992554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07536733150482178}],"concepts":[{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.6868473291397095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6538026332855225},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5832939743995667},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.5424102544784546},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.5383274555206299},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5123425722122192},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4260685443878174},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4212530255317688},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4169155955314636},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41152307391166687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37128889560699463},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.34020087122917175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3019603490829468},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18333619832992554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07536733150482178},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812740401165x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740401165x","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":[{"id":"https://openalex.org/F4320337316","display_name":"Asociaci\u00f3n de Amigos de la Universidad de Navarra","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1972938041","https://openalex.org/W1976082456","https://openalex.org/W1979577185","https://openalex.org/W1980661496","https://openalex.org/W1985065732","https://openalex.org/W1988582630","https://openalex.org/W2002094651","https://openalex.org/W2011667471","https://openalex.org/W2032603829","https://openalex.org/W2043838333","https://openalex.org/W2090213309","https://openalex.org/W2147862089","https://openalex.org/W2148370910","https://openalex.org/W3102958063","https://openalex.org/W3129495151"],"related_works":["https://openalex.org/W2060051479","https://openalex.org/W2038599716","https://openalex.org/W1971978554","https://openalex.org/W2160293638","https://openalex.org/W2065958818","https://openalex.org/W1983290920","https://openalex.org/W2001954398","https://openalex.org/W2087177745","https://openalex.org/W2167683686","https://openalex.org/W4212903260"],"abstract_inverted_index":{"A":[0,26],"new":[1],"reactive":[2],"model":[3,20],"of":[4,18,24],"three":[5],"dynamical":[6],"variables":[7],"is":[8,48],"proposed,":[9],"which":[10],"exhibits":[11],"Hopf":[12],"and":[13,63],"Wave":[14],"instabilities.":[15],"One-dimensional":[16],"evolutions":[17],"this":[19],"reveal":[21],"several":[22],"kinds":[23],"oscillations.":[25],"perturbative":[27],"stability":[28],"analysis":[29],"around":[30],"the":[31,40,44,58],"stationary":[32],"fixed":[33],"point,":[34],"leads":[35],"to":[36],"amplitude":[37],"equations":[38],"for":[39],"excited":[41],"modes":[42],"in":[43],"system.":[45],"Our":[46],"attention":[47],"focused":[49],"on":[50],"modulated":[51],"standing":[52],"waves":[53],"(MSW)":[54],"that":[55],"result":[56],"from":[57],"interaction":[59],"between":[60],"uniform":[61],"oscillations":[62],"finite-wavelength":[64],"oscillatory":[65],"modes.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}