Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2136527969', 'doi': 'https://doi.org/10.1007/s11071-011-0194-0', 'title': 'Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system', 'display_name': 'Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system', 'publication_year': 2011, 'publication_date': '2011-09-22', 'ids': {'openalex': 'https://openalex.org/W2136527969', 'doi': 'https://doi.org/10.1007/s11071-011-0194-0', 'mag': '2136527969'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11071-011-0194-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S138681734', 'display_name': 'Nonlinear Dynamics', 'issn_l': '0924-090X', 'issn': ['0924-090X', '1573-269X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5003859502', 'display_name': 'Feng Li', 'orcid': 'https://orcid.org/0000-0002-5500-7571'}, 'institutions': [{'id': 'https://openalex.org/I15823474', 'display_name': 'Linyi University', 'ror': 'https://ror.org/01knv0402', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I15823474']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Li Feng', 'raw_affiliation_strings': ['Linyi university'], 'affiliations': [{'raw_affiliation_string': 'Linyi university', 'institution_ids': ['https://openalex.org/I15823474']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5055608909', 'display_name': 'Yinlai Jin', 'orcid': 'https://orcid.org/0000-0002-5728-6391'}, 'institutions': [{'id': 'https://openalex.org/I15823474', 'display_name': 'Linyi University', 'ror': 'https://ror.org/01knv0402', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I15823474']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Jin Yinlai', 'raw_affiliation_strings': ['Linyi university'], 'affiliations': [{'raw_affiliation_string': 'Linyi university', 'institution_ids': ['https://openalex.org/I15823474']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 3390, 'currency': 'EUR', 'value_usd': 4390, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.161, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 19, 'citation_normalized_percentile': {'value': 0.892209, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 89, 'max': 90}, 'biblio': {'volume': '67', 'issue': '4', 'first_page': '2857', 'last_page': '2864'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10244', 'display_name': 'Chaos Synchronization and Control in Complex Systems', 'score': 0.9988, '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 Synchronization and Control in Complex Systems', 'score': 0.9988, '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': 'Dynamics of Synchronization in Complex Networks', 'score': 0.9771, '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/T11261', 'display_name': 'Characterization of Chaotic Quantum Dynamics and Structures', 'score': 0.9749, '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/transcritical-bifurcation', 'display_name': 'Transcritical bifurcation', 'score': 0.6679326}, {'id': 'https://openalex.org/keywords/pitchfork-bifurcation', 'display_name': 'Pitchfork bifurcation', 'score': 0.66295844}, {'id': 'https://openalex.org/keywords/bogdanov–takens-bifurcation', 'display_name': 'Bogdanov–Takens bifurcation', 'score': 0.6323334}, {'id': 'https://openalex.org/keywords/fractional-order-systems', 'display_name': 'Fractional Order Systems', 'score': 0.467146}], 'concepts': [{'id': 'https://openalex.org/C172435161', 'wikidata': 'https://www.wikidata.org/wiki/Q531126', 'display_name': 'Hopf bifurcation', 'level': 4, 'score': 0.8108399}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.741094}, {'id': 'https://openalex.org/C101225446', 'wikidata': 'https://www.wikidata.org/wiki/Q740190', 'display_name': 'Saddle-node bifurcation', 'level': 4, 'score': 0.6810259}, {'id': 'https://openalex.org/C55610538', 'wikidata': 'https://www.wikidata.org/wiki/Q1502581', 'display_name': 'Transcritical bifurcation', 'level': 5, 'score': 0.6679326}, {'id': 'https://openalex.org/C155092403', 'wikidata': 'https://www.wikidata.org/wiki/Q1785924', 'display_name': 'Pitchfork bifurcation', 'level': 5, 'score': 0.66295844}, {'id': 'https://openalex.org/C22257346', 'wikidata': 'https://www.wikidata.org/wiki/Q4937510', 'display_name': 'Bogdanov–Takens bifurcation', 'level': 5, 'score': 0.6323334}, {'id': 'https://openalex.org/C86243350', 'wikidata': 'https://www.wikidata.org/wiki/Q2595915', 'display_name': 'Bifurcation diagram', 'level': 4, 'score': 0.61720514}, {'id': 'https://openalex.org/C174914120', 'wikidata': 'https://www.wikidata.org/wiki/Q4914973', 'display_name': 'Biological applications of bifurcation theory', 'level': 5, 'score': 0.60857}, {'id': 'https://openalex.org/C194271172', 'wikidata': 'https://www.wikidata.org/wiki/Q2181373', 'display_name': 'Period-doubling bifurcation', 'level': 4, 'score': 0.5895825}, {'id': 'https://openalex.org/C2781349735', 'wikidata': 'https://www.wikidata.org/wiki/Q4904824', 'display_name': 'Bifurcation', 'level': 3, 'score': 0.5180533}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4753782}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.37738493}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.1278086}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.12264389}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11071-011-0194-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S138681734', 'display_name': 'Nonlinear Dynamics', 'issn_l': '0924-090X', 'issn': ['0924-090X', '1573-269X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Climate action', 'id': 'https://metadata.un.org/sdg/13', 'score': 0.42}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1596321532', 'https://openalex.org/W160832363', 'https://openalex.org/W1976737194', 'https://openalex.org/W1980417843', 'https://openalex.org/W1989097268', 'https://openalex.org/W2029796518', 'https://openalex.org/W2031668778', 'https://openalex.org/W2040704758', 'https://openalex.org/W2052753689', 'https://openalex.org/W2053648621', 'https://openalex.org/W2060218884', 'https://openalex.org/W2069436097', 'https://openalex.org/W2073077943', 'https://openalex.org/W2083531786', 'https://openalex.org/W2088294541', 'https://openalex.org/W2106154524', 'https://openalex.org/W2108504478', 'https://openalex.org/W2126098770', 'https://openalex.org/W2129464759', 'https://openalex.org/W2151223939', 'https://openalex.org/W4206651839', 'https://openalex.org/W4231102510'], 'related_works': ['https://openalex.org/W4378881054', 'https://openalex.org/W3111605138', 'https://openalex.org/W2514803675', 'https://openalex.org/W2361894068', 'https://openalex.org/W2111150538', 'https://openalex.org/W2087757984', 'https://openalex.org/W2084499748', 'https://openalex.org/W2021742636', 'https://openalex.org/W1880931252', 'https://openalex.org/W1530420675'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2136527969', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 3}], 'updated_date': '2024-08-15T10:17:28.340216', 'created_date': '2016-06-24'}