Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2899618753', 'doi': 'https://doi.org/10.1109/tcsi.2018.2877414', 'title': 'Synchronization of Multi-Layer Networks: From Node-to-Node Synchronization to Complete Synchronization', 'display_name': 'Synchronization of Multi-Layer Networks: From Node-to-Node Synchronization to Complete Synchronization', 'publication_year': 2018, 'publication_date': '2018-11-08', 'ids': {'openalex': 'https://openalex.org/W2899618753', 'doi': 'https://doi.org/10.1109/tcsi.2018.2877414', 'mag': '2899618753'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/tcsi.2018.2877414', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S116977442', 'display_name': 'IEEE Transactions on Circuits and Systems I Regular Papers', 'issn_l': '1549-8328', 'issn': ['1549-8328', '1558-0806'], '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': 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/A5015989015', 'display_name': 'Peijun Wang', 'orcid': 'https://orcid.org/0000-0003-1229-6278'}, 'institutions': [{'id': 'https://openalex.org/I76569877', 'display_name': 'Southeast University', 'ror': 'https://ror.org/04ct4d772', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I76569877']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Peijun Wang', 'raw_affiliation_strings': ['School of Mathematics, Southeast University, Nanjing, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, Southeast University, Nanjing, China', 'institution_ids': ['https://openalex.org/I76569877']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5040088510', 'display_name': 'Guanghui Wen', 'orcid': 'https://orcid.org/0000-0003-0070-8597'}, 'institutions': [{'id': 'https://openalex.org/I82951845', 'display_name': 'RMIT University', 'ror': 'https://ror.org/04ttjf776', 'country_code': 'AU', 'type': 'education', 'lineage': ['https://openalex.org/I82951845']}], 'countries': ['AU'], 'is_corresponding': False, 'raw_author_name': 'Guanghui Wen', 'raw_affiliation_strings': ['School of Engineering, RMIT University, Melbourne, VIC, Australia'], 'affiliations': [{'raw_affiliation_string': 'School of Engineering, RMIT University, Melbourne, VIC, Australia', 'institution_ids': ['https://openalex.org/I82951845']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5070195520', 'display_name': 'Xinghuo Yu', 'orcid': 'https://orcid.org/0000-0001-8093-9787'}, 'institutions': [{'id': 'https://openalex.org/I82951845', 'display_name': 'RMIT University', 'ror': 'https://ror.org/04ttjf776', 'country_code': 'AU', 'type': 'education', 'lineage': ['https://openalex.org/I82951845']}], 'countries': ['AU'], 'is_corresponding': False, 'raw_author_name': 'Xinghuo Yu', 'raw_affiliation_strings': ['School of Engineering, Royal Melbourne Institute of Technology University, Melbourne, VIC, Australia'], 'affiliations': [{'raw_affiliation_string': 'School of Engineering, Royal Melbourne Institute of Technology University, Melbourne, VIC, Australia', 'institution_ids': ['https://openalex.org/I82951845']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5100627758', 'display_name': 'Wenwu Yu', 'orcid': 'https://orcid.org/0000-0003-3755-179X'}, 'institutions': [{'id': 'https://openalex.org/I76569877', 'display_name': 'Southeast University', 'ror': 'https://ror.org/04ct4d772', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I76569877']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Wenwu Yu', 'raw_affiliation_strings': ['School of Mathematics, Southeast University, Nanjing, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, Southeast University, Nanjing, China', 'institution_ids': ['https://openalex.org/I76569877']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5074290686', 'display_name': 'Tingwen Huang', 'orcid': 'https://orcid.org/0000-0001-9610-846X'}, 'institutions': [{'id': 'https://openalex.org/I58152225', 'display_name': 'Texas A&M University at Qatar', 'ror': 'https://ror.org/03vb4dm14', 'country_code': 'QA', 'type': 'education', 'lineage': ['https://openalex.org/I58152225', 'https://openalex.org/I91045830']}], 'countries': ['QA'], 'is_corresponding': False, 'raw_author_name': 'Tingwen Huang', 'raw_affiliation_strings': ['Science Program, Texas A&M University at Qatar, Doha, Qatar'], 'affiliations': [{'raw_affiliation_string': 'Science Program, Texas A&M University at Qatar, Doha, Qatar', 'institution_ids': ['https://openalex.org/I58152225']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 3.53, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 59, 'citation_normalized_percentile': {'value': 0.906374, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 97, 'max': 98}, 'biblio': {'volume': '66', 'issue': '3', 'first_page': '1141', 'last_page': '1152'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11347', 'display_name': 'Neural Networks Stability and Synchronization', 'score': 0.9999, '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/T11347', 'display_name': 'Neural Networks Stability and Synchronization', 'score': 0.9999, '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/T11187', 'display_name': 'Nonlinear Dynamics and Pattern Formation', 'score': 0.9994, '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': 0.9955, '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/lyapunov-stability', 'display_name': 'Lyapunov stability', 'score': 0.43718678}], 'concepts': [{'id': 'https://openalex.org/C2778562939', 'wikidata': 'https://www.wikidata.org/wiki/Q1298791', 'display_name': 'Synchronization (alternating current)', 'level': 3, 'score': 0.75830877}, {'id': 'https://openalex.org/C62611344', 'wikidata': 'https://www.wikidata.org/wiki/Q1062658', 'display_name': 'Node (physics)', 'level': 2, 'score': 0.7409051}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.5766288}, {'id': 'https://openalex.org/C199845137', 'wikidata': 'https://www.wikidata.org/wiki/Q145490', 'display_name': 'Network topology', 'level': 2, 'score': 0.56386137}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.53510296}, {'id': 'https://openalex.org/C164380108', 'wikidata': 'https://www.wikidata.org/wiki/Q507187', 'display_name': 'Attractor', 'level': 2, 'score': 0.53236175}, {'id': 'https://openalex.org/C2779227376', 'wikidata': 'https://www.wikidata.org/wiki/Q6505497', 'display_name': 'Layer (electronics)', 'level': 2, 'score': 0.44586906}, {'id': 'https://openalex.org/C2776829284', 'wikidata': 'https://www.wikidata.org/wiki/Q1341651', 'display_name': 'Lyapunov stability', 'level': 3, 'score': 0.43718678}, {'id': 'https://openalex.org/C34947359', 'wikidata': 'https://www.wikidata.org/wiki/Q665189', 'display_name': 'Complex network', 'level': 2, 'score': 0.43231288}, {'id': 'https://openalex.org/C47446073', 'wikidata': 'https://www.wikidata.org/wiki/Q5165890', 'display_name': 'Control theory (sociology)', 'level': 3, 'score': 0.41676536}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.25426638}, {'id': 'https://openalex.org/C2775924081', 'wikidata': 'https://www.wikidata.org/wiki/Q55608371', 'display_name': 'Control (management)', 'level': 2, 'score': 0.17999938}, {'id': 'https://openalex.org/C31258907', 'wikidata': 'https://www.wikidata.org/wiki/Q1301371', 'display_name': 'Computer network', 'level': 1, 'score': 0.17186269}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.07577875}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C66938386', 'wikidata': 'https://www.wikidata.org/wiki/Q633538', 'display_name': 'Structural engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', '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/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C136764020', 'wikidata': 'https://www.wikidata.org/wiki/Q466', 'display_name': 'World Wide Web', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/tcsi.2018.2877414', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S116977442', 'display_name': 'IEEE Transactions on Circuits and Systems I Regular Papers', 'issn_l': '1549-8328', 'issn': ['1549-8328', '1558-0806'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '61673107'}, {'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '61673104'}, {'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '61722303'}, {'funder': 'https://openalex.org/F4320334704', 'funder_display_name': 'Australian Research Council', 'award_id': 'DP170102303'}, {'funder': 'https://openalex.org/F4320334704', 'funder_display_name': 'Australian Research Council', 'award_id': 'DE180101268'}, {'funder': 'https://openalex.org/F4320335787', 'funder_display_name': 'Fundamental Research Funds for the Central Universities', 'award_id': None}], 'datasets': [], 'versions': [], 'referenced_works_count': 49, 'referenced_works': ['https://openalex.org/W1500921805', 'https://openalex.org/W1502024022', 'https://openalex.org/W1552094772', 'https://openalex.org/W1618470073', 'https://openalex.org/W1901975232', 'https://openalex.org/W1945601895', 'https://openalex.org/W1966796690', 'https://openalex.org/W1989960380', 'https://openalex.org/W1997974219', 'https://openalex.org/W1998765575', 'https://openalex.org/W2002125190', 'https://openalex.org/W2012551394', 'https://openalex.org/W2019861006', 'https://openalex.org/W2023073839', 'https://openalex.org/W2032563530', 'https://openalex.org/W2055953081', 'https://openalex.org/W2062692785', 'https://openalex.org/W2074617510', 'https://openalex.org/W2075408371', 'https://openalex.org/W2099175737', 'https://openalex.org/W2100935517', 'https://openalex.org/W2106984790', 'https://openalex.org/W2120510384', 'https://openalex.org/W2120658185', 'https://openalex.org/W2120815087', 'https://openalex.org/W2129044508', 'https://openalex.org/W2136662157', 'https://openalex.org/W2138742792', 'https://openalex.org/W2139210325', 'https://openalex.org/W2140802125', 'https://openalex.org/W2141022100', 'https://openalex.org/W2141455508', 'https://openalex.org/W2147824439', 'https://openalex.org/W2157679697', 'https://openalex.org/W2166103243', 'https://openalex.org/W2323542958', 'https://openalex.org/W2343586644', 'https://openalex.org/W2464348263', 'https://openalex.org/W2521458040', 'https://openalex.org/W2567931453', 'https://openalex.org/W2592852902', 'https://openalex.org/W261461018', 'https://openalex.org/W2770211436', 'https://openalex.org/W2773389375', 'https://openalex.org/W2801010298', 'https://openalex.org/W3104756619', 'https://openalex.org/W3105968770', 'https://openalex.org/W3140206181', 'https://openalex.org/W4295016751'], 'related_works': ['https://openalex.org/W3167551645', 'https://openalex.org/W3113498971', 'https://openalex.org/W2772733144', 'https://openalex.org/W2365689671', 'https://openalex.org/W2150442046', 'https://openalex.org/W2075004210', 'https://openalex.org/W2048727068', 'https://openalex.org/W1963981678', 'https://openalex.org/W1892888752', 'https://openalex.org/W1522710368'], 'abstract_inverted_index': {'Multi-layer': [0], 'networks,': [1], 'which': [2], 'incorporate': [3], 'multiple': [4, 64, 113], 'subsystems': [5], 'and': [6, 42, 148], 'different': [7], 'kinds': [8], 'of': [9, 112, 121], 'interactions,': [10], 'are': [11, 153, 160], 'recently': [12], 'believed': [13], 'to': [14, 35, 38, 109], 'have': [15, 56, 124], 'a': [16, 125, 130], 'stronger': [17], 'ability': [18], 'in': [19, 45, 73, 137], 'modelling': [20], 'various': [21], 'real-world': [22], 'systems': [23], 'than': [24], 'traditional': [25], 'single-layer': [26], 'complex': [27], 'networks.': [28], 'Motivated': [29], 'by': [30, 61, 79, 100], 'this': [31], 'observation,': [32], 'we': [33, 68, 133], 'try': [34], 'show': [36, 69, 134], 'how': [37], 'achieve': [39], 'node-to-node': [40, 71], 'synchronization': [41, 44, 72, 136], 'complete': [43, 135], 'multi-layer': [46], 'networks': [47, 75], 'under': [48], 'directed': [49, 126], 'switching': [50], 'communication': [51, 119], 'topologies,': [52], 'where': [53], 'the': [54, 63, 93, 110, 117, 138, 145, 149, 157], 'nodes': [55], "Lur'e": [57], 'type': [58], 'dynamics.': [59], 'First,': [60], 'using': [62], 'Lyapunov': [65], 'stability': [66], 'theory,': [67], 'that': [70], 'two-layer': [74], 'can': [76, 141], 'be': [77, 142], 'achieved': [78, 143], 'choosing': [80], 'sufficiently': [81], 'large': [82], 'coupling': [83], 'strength': [84], 'as': [85, 87], 'well': [86], 'suitable': [88], 'feedback': [89], 'gain': [90], 'matrix': [91], 'if': [92, 116, 144], 'average': [94, 150], 'dwell': [95, 151], 'time': [96, 152], 'is': [97, 106], 'bounded': [98], 'below': [99], 'some': [101], 'positive': [102], 'constants.': [103], 'The': [104], 'result': [105], 'then': [107], 'extended': [108], 'case': [111], 'layers.': [114], 'Furthermore,': [115], 'inner': [118], 'topologies': [120], 'each': [122], 'layer': [123], 'spanning': [127], 'tree': [128], 'with': [129, 169], 'common': [131], 'root,': [132], 'considered': [139], 'network': [140], 'control': [146], 'parameters': [147], 'appropriately': [154], 'chosen.': [155], 'Finally,': [156], 'theoretical': [158], 'results': [159], 'validated': [161], 'through': [162], 'performing': [163], 'numerical': [164], 'simulations': [165], 'on': [166], "Chua's": [167], 'circuit': [168], 'double': [170], 'scroll': [171], 'attractors.': [172]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2899618753', 'counts_by_year': [{'year': 2024, 'cited_by_count': 12}, {'year': 2023, 'cited_by_count': 13}, {'year': 2022, 'cited_by_count': 10}, {'year': 2021, 'cited_by_count': 10}, {'year': 2020, 'cited_by_count': 8}, {'year': 2019, 'cited_by_count': 4}], 'updated_date': '2024-12-21T05:07:20.864617', 'created_date': '2018-11-16'}