Publication Information

{'id': 'https://openalex.org/W1986399883', 'doi': 'https://doi.org/10.1002/cpa.3160190404', 'title': 'Periodic vibrations of systems governed by nonlinear partial differential equations', 'display_name': 'Periodic vibrations of systems governed by nonlinear partial differential equations', 'publication_year': 1966, 'publication_date': '1966-11-01', 'ids': {'openalex': 'https://openalex.org/W1986399883', 'doi': 'https://doi.org/10.1002/cpa.3160190404', 'mag': '1986399883'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cpa.3160190404', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S134818455', 'display_name': 'Communications on Pure and Applied Mathematics', 'issn_l': '0010-3640', 'issn': ['0010-3640', '1097-0312'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], '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/A5108775680', 'display_name': 'Joseph B. Keller', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Joseph B. Keller', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5001867682', 'display_name': 'Lu Ting', 'orcid': 'https://orcid.org/0000-0002-6359-4374'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Lu Ting', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 4740, 'currency': 'USD', 'value_usd': 4740, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.015, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 117, 'citation_normalized_percentile': {'value': 0.981855, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '19', 'issue': '4', 'first_page': '371', 'last_page': '420'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12206', 'display_name': 'Vibration and Dynamic Analysis', 'score': 0.9982, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T12206', 'display_name': 'Vibration and Dynamic Analysis', 'score': 0.9982, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10288', 'display_name': 'Fractional Differential Equations Solutions', 'score': 0.9786, 'subfield': {'id': 'https://openalex.org/subfields/2611', 'display_name': 'Modeling and Simulation'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12727', 'display_name': 'Differential Equations and Numerical Methods', 'score': 0.9752, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C157486923', 'wikidata': 'https://www.wikidata.org/wiki/Q1376436', 'display_name': 'String (physics)', 'level': 2, 'score': 0.5773462}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.55077964}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.49113795}, {'id': 'https://openalex.org/C198394728', 'wikidata': 'https://www.wikidata.org/wiki/Q3695508', 'display_name': 'Vibration', 'level': 2, 'score': 0.48017326}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.47824565}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4224416}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.41001093}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.36937994}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.30473107}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.29632086}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.11886847}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cpa.3160190404', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S134818455', 'display_name': 'Communications on Pure and Applied Mathematics', 'issn_l': '0010-3640', 'issn': ['0010-3640', '1097-0312'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Peace, justice, and strong institutions', 'score': 0.55, 'id': 'https://metadata.un.org/sdg/16'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W1964139283', 'https://openalex.org/W2080049628', 'https://openalex.org/W2102911339', 'https://openalex.org/W2171973347', 'https://openalex.org/W247739105', 'https://openalex.org/W2561678535', 'https://openalex.org/W2567389492'], 'related_works': ['https://openalex.org/W3119229018', 'https://openalex.org/W2997776052', 'https://openalex.org/W2995569247', 'https://openalex.org/W2628527627', 'https://openalex.org/W2380306780', 'https://openalex.org/W2361261209', 'https://openalex.org/W2357911031', 'https://openalex.org/W1986444827', 'https://openalex.org/W1976818839', 'https://openalex.org/W1973641256'], 'abstract_inverted_index': {'Communications': [0], 'on': [1, 158, 309], 'Pure': [2], 'and': [3, 87, 91, 103, 110, 129, 212, 235, 313], 'Applied': [4], 'MathematicsVolume': [5], '19,': [6], 'Issue': [7], '4': [8, 231], 'p.': [9], '371-420': [10, 354], 'Article': [11], 'Periodic': [12, 175, 300, 328], 'vibrations': [13], 'of': [14, 89, 99, 112, 123, 143, 184, 219, 243, 247, 261, 278, 280, 282, 302, 330], 'systems': [15, 179], 'governed': [16], 'by': [17, 31, 40, 52, 61], 'nonlinear': [18, 283, 332], 'partial': [19, 285, 304], 'differential': [20, 286, 305], 'equations': [21], 'Joseph': [22, 25, 43, 46], 'B.': [23, 26, 44, 47], 'Keller,': [24, 45, 213, 236], 'KellerSearch': [27, 48], 'for': [28, 37, 49, 58], 'more': [29, 38, 50, 59], 'papers': [30, 39, 51, 60], 'this': [32, 41, 53, 62, 124], 'authorLu': [33, 54], 'Ting,': [34, 55], 'Lu': [35, 56], 'TingSearch': [36, 57], 'author': [42, 63], 'First': [64], 'published:': [65], 'November': [66], '1966': [67], 'https://doi.org/10.1002/cpa.3160190404Citations:': [68], '104AboutPDF': [69], 'ToolsRequest': [70], 'permissionExport': [71], 'citationAdd': [72], 'to': [73, 95, 118], 'favoritesTrack': [74], 'citation': [75], 'ShareShare': [76], 'Give': [77], 'accessShare': [78, 81], 'full': [79], 'text': [80], 'full-text': [82, 97, 121], 'accessPlease': [83], 'review': [84], 'our': [85], 'Terms': [86, 109], 'Conditions': [88, 111], 'Use': [90], 'check': [92], 'box': [93], 'below': [94, 117], 'share': [96, 119], 'version': [98, 122], 'article.I': [100], 'have': [101], 'read': [102], 'accept': [104], 'the': [105, 115, 139, 144, 159], 'Wiley': [106], 'Online': [107], 'Library': [108], 'UseShareable': [113], 'LinkUse': [114], 'link': [116], 'a': [120, 331], 'article': [125], 'with': [126], 'your': [127], 'friends': [128], 'colleagues.': [130], 'Learn': [131], 'more.Copy': [132], 'URL': [133], 'Bibliography': [134], '1': [135], 'Carrier,': [136], 'G.,': [137], 'On': [138], 'non-linear': [140, 178], 'vibration': [141], 'problem': [142], 'elastic': [145], 'string,': [146, 161], 'Quart.': [147, 162], 'Appl.': [148, 163], 'Math.,': [149, 164], 'Vol.': [150, 165, 225, 249, 267, 291], '3,': [151], '1945,': [152], 'pp.': [153, 168, 206, 228, 252, 270, 294, 321], '157–': [154], '165.': [155], 'A': [156], 'note': [157], 'vibrating': [160], '7,': [166], '1949,': [167], '97–': [169], '101.': [170], '2': [171], 'Stoker,': [172], 'J.': [173, 214, 222, 237, 264, 288], 'J.,': [174], 'motions': [176], 'in': [177], 'having': [180], 'infinitely': [181], 'many': [182], 'degrees': [183], 'freedom,': [185], 'Actes': [186], 'du': [187, 198], 'Colloque': [188], 'International': [189, 307], 'des': [190], 'Vibrations': [191], 'Non': [192], 'Lineaires,': [193], 'Publications': [194], 'Scientifiques': [195], 'et': [196], 'Techniques': [197], 'Ministères': [199], 'de': [200], "L'air,": [201], 'No.': [202, 345], '281,': [203], 'Paris,': [204], '1953,': [205], '61–': [207], '74.': [208], '3': [209], 'Tadjbakhsh,': [210], 'I.,': [211], 'B.,': [215, 238], 'Standing': [216, 258], 'surface': [217, 241], 'waves': [218, 242, 260], 'finite': [220, 244, 262], 'amplitude,': [221, 245, 263], 'Fluid': [223, 265], 'Mech.,': [224, 266], '8,': [226], '1960,': [227], '442–': [229], '451.': [230], 'Verma,': [232], 'G.': [233], 'R.,': [234], 'Three-dimensional': [239], 'standing': [240], 'Physics': [246], 'Fluids,': [248], '5,': [250, 292], '1962,': [251, 269], '52–': [253], '56.': [254], '5': [255], 'Concus,': [256], 'P.,': [257], 'capillary-gravity': [259], '14,': [268], '568–': [271], '576.': [272], '6': [273], 'Lax,': [274], 'P.': [275, 326], 'D.,': [276], 'Development': [277], 'singularities': [279], 'solutions': [281, 301, 329], 'hyperbolic': [284, 303], 'equations,': [287, 306], 'Math.': [289, 341], 'Phys.,': [290], '1964,': [293], '611–': [295], '613.': [296], '7': [297], 'Cesari,': [298], 'L.,': [299], 'Symposium': [308], 'Nonlinear': [310, 314], 'Differential': [311], 'Equations': [312], 'Mechanics,': [315], 'Academic': [316], 'Press,': [317], 'New': [318, 336], 'York,': [319], '1963,': [320], '33–': [322], '57.': [323], '8': [324], 'Rabinowitz,': [325], 'H.,': [327], 'non-dissipative': [333], 'wave': [334], 'equation,': [335], 'York': [337], 'University,': [338], 'Courant': [339], 'Inst.': [340], 'Sci.,': [342], 'Res.': [343], 'Report': [344], 'IMM': [346], '343,': [347], '1965.': [348], 'Citing': [349], 'Literature': [350], 'Volume19,': [351], 'Issue4November': [352], '1966Pages': [353], 'ReferencesRelatedInformation': [355]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1986399883', 'counts_by_year': [{'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 2}], 'updated_date': '2024-12-07T19:00:11.606953', 'created_date': '2016-06-24'}