{"id":"https://openalex.org/W2105088728","doi":"https://doi.org/10.1109/tcsii.2009.2024251","title":"Stability and Bifurcation Analysis of a Class of Networked Dynamical Systems","display_name":"Stability and Bifurcation Analysis of a Class of Networked Dynamical Systems","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2105088728","doi":"https://doi.org/10.1109/tcsii.2009.2024251","mag":"2105088728"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2009.2024251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2009.2024251","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5100693458","display_name":"Guofeng Zhang","orcid":"https://orcid.org/0000-0002-9030-0431"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]},{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["AU","CN"],"is_corresponding":true,"raw_author_name":"Guofeng Zhang","raw_affiliation_strings":["School of Computing and Mathematics, University of Western Ontario, Sydney, NSW, Australia","School of Electronic Engineering, University of Electronic Science and Technology, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Western Ontario, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]},{"raw_affiliation_string":"School of Electronic Engineering, University of Electronic Science and Technology, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computing and Mathematics, University of Western Ontario, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Western Ontario, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100693458"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I63525965"],"apc_list":null,"apc_paid":null,"fwci":1.0285,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78538114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"8","first_page":"664","last_page":"668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991000294685364,"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":0.9991000294685364,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.998199999332428,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9955999851226807,"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/attractor","display_name":"Attractor","score":0.742871880531311},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7144801616668701},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6297112107276917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5845310688018799},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5740848779678345},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5657950639724731},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.5560685992240906},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5376762747764587},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.5347342491149902},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4932791590690613},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.47098323702812195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4297123849391937},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4192761480808258},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4110439121723175},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3700437545776367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22481656074523926},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18147489428520203},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17741426825523376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14724305272102356},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04662364721298218}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.742871880531311},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7144801616668701},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6297112107276917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5845310688018799},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5740848779678345},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5657950639724731},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.5560685992240906},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5376762747764587},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.5347342491149902},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4932791590690613},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.47098323702812195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4297123849391937},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4192761480808258},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4110439121723175},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3700437545776367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22481656074523926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18147489428520203},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17741426825523376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14724305272102356},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04662364721298218},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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:10.1109/tcsii.2009.2024251","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2009.2024251","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W658567699","https://openalex.org/W2008421509","https://openalex.org/W2014382681","https://openalex.org/W2055983730","https://openalex.org/W2083823140","https://openalex.org/W2098553935","https://openalex.org/W2103013786","https://openalex.org/W2107248036","https://openalex.org/W2110218780","https://openalex.org/W2116901975","https://openalex.org/W2143570826","https://openalex.org/W2145192083","https://openalex.org/W2145439658","https://openalex.org/W2157214632","https://openalex.org/W2160997141","https://openalex.org/W2161774799","https://openalex.org/W2167626999","https://openalex.org/W2500622636"],"related_works":["https://openalex.org/W2546487931","https://openalex.org/W2404180431","https://openalex.org/W2803928976","https://openalex.org/W2348340245","https://openalex.org/W3138146974","https://openalex.org/W3097933399","https://openalex.org/W4214875847","https://openalex.org/W2059079934","https://openalex.org/W2361529576","https://openalex.org/W2355121314"],"abstract_inverted_index":{"In":[0],"this":[1,50],"brief,":[2],"stability":[3,35],"and":[4,75,79],"bifurcation":[5,55],"in":[6],"a":[7,28,37,54,58,64,98,101],"class":[8],"of":[9,23,36,66,92,100],"networked":[10],"dynamical":[11,68],"systems":[12,69],"are":[13],"investigated.":[14],"First,":[15],"it":[16,46],"is":[17,27,43,47,53,70,86],"shown":[18],"that,":[19],"for":[20],"each":[21],"member":[22],"the":[24,33,90],"family,":[25],"there":[26],"globally":[29],"attracting":[30],"region.":[31],"Then,":[32],"local":[34],"particular":[38],"fixed":[39,51],"point":[40,52,56],"(0,":[41],"0)":[42],"investigated;":[44],"afterward,":[45],"found":[48],"that":[49,89],"as":[57,97],"certain":[59,102],"system":[60],"parameter":[61],"varies.":[62],"Finally,":[63],"family":[65],"3-D":[67],"numerically":[71],"studied,":[72],"with":[73],"rich":[74],"diverse":[76],"bifurcating":[77],"phenomena":[78],"geometrically":[80],"different":[81],"attractors":[82,93],"being":[83],"revealed.":[84],"It":[85],"also":[87],"observed":[88],"geometry":[91],"undergoes":[94],"continuous":[95],"deformation":[96],"function":[99],"parameter.":[103]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}