Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3139181228', 'doi': 'https://doi.org/10.1007/s40010-021-00741-0', 'title': 'Noether-Type Conserved Quantities on Time Scales for Birkhoffian Systems with Delayed Arguments', 'display_name': 'Noether-Type Conserved Quantities on Time Scales for Birkhoffian Systems with Delayed Arguments', 'publication_year': 2021, 'publication_date': '2021-03-23', 'ids': {'openalex': 'https://openalex.org/W3139181228', 'doi': 'https://doi.org/10.1007/s40010-021-00741-0', 'mag': '3139181228'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s40010-021-00741-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210173097', 'display_name': 'Proceedings of the National Academy of Sciences India Section A Physical Sciences', 'issn_l': '0369-8203', 'issn': ['0369-8203', '2250-1762'], '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/A5091383480', 'display_name': 'Xiang-Hua Zhai', 'orcid': 'https://orcid.org/0000-0002-9051-8203'}, 'institutions': [{'id': 'https://openalex.org/I308837', 'display_name': 'Suzhou University of Science and Technology', 'ror': 'https://ror.org/04en8wb91', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I308837']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Xiang-Hua Zhai', 'raw_affiliation_strings': ['College of Civil Engineering, Suzhou University of Science and Technology, Suzhou, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Civil Engineering, Suzhou University of Science and Technology, Suzhou, People’s Republic of China', 'institution_ids': ['https://openalex.org/I308837']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5102738292', 'display_name': 'Yi Zhang', 'orcid': 'https://orcid.org/0000-0002-0458-5240'}, 'institutions': [{'id': 'https://openalex.org/I308837', 'display_name': 'Suzhou University of Science and Technology', 'ror': 'https://ror.org/04en8wb91', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I308837']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Yi Zhang', 'raw_affiliation_strings': ['College of Civil Engineering, Suzhou University of Science and Technology, Suzhou, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Civil Engineering, Suzhou University of Science and Technology, Suzhou, People’s Republic of China', 'institution_ids': ['https://openalex.org/I308837']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5102738292'], 'corresponding_institution_ids': ['https://openalex.org/I308837'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 59}, 'biblio': {'volume': '92', 'issue': '3', 'first_page': '425', 'last_page': '432'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10288', 'display_name': 'Anomalous Diffusion Modeling and Analysis', 'score': 0.9906, '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'}}, 'topics': [{'id': 'https://openalex.org/T10288', 'display_name': 'Anomalous Diffusion Modeling and Analysis', 'score': 0.9906, '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/T11673', 'display_name': 'Deformations and Structures of Hom-Lie Algebras', 'score': 0.9875, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T11261', 'display_name': 'Characterization of Chaotic Quantum Dynamics and Structures', 'score': 0.9869, '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/conserved-quantity', 'display_name': 'Conserved quantity', 'score': 0.9585729}, {'id': 'https://openalex.org/keywords/conserved-current', 'display_name': 'Conserved current', 'score': 0.73228323}, {'id': 'https://openalex.org/keywords/conservation-law', 'display_name': 'Conservation law', 'score': 0.46958843}, {'id': 'https://openalex.org/keywords/time-fractional-diffusion-equation', 'display_name': 'Time-Fractional Diffusion Equation', 'score': 0.445281}], 'concepts': [{'id': 'https://openalex.org/C80892491', 'wikidata': 'https://www.wikidata.org/wiki/Q578555', 'display_name': "Noether's theorem", 'level': 3, 'score': 0.99395794}, {'id': 'https://openalex.org/C71914180', 'wikidata': 'https://www.wikidata.org/wiki/Q1071013', 'display_name': 'Conserved quantity', 'level': 2, 'score': 0.9585729}, {'id': 'https://openalex.org/C91229774', 'wikidata': 'https://www.wikidata.org/wiki/Q193885', 'display_name': 'Infinitesimal', 'level': 2, 'score': 0.785836}, {'id': 'https://openalex.org/C206237540', 'wikidata': 'https://www.wikidata.org/wiki/Q5163158', 'display_name': 'Conserved current', 'level': 4, 'score': 0.73228323}, {'id': 'https://openalex.org/C2779886137', 'wikidata': 'https://www.wikidata.org/wiki/Q21030012', 'display_name': 'Symmetry (geometry)', 'level': 2, 'score': 0.6697482}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6542543}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.62708277}, {'id': 'https://openalex.org/C3445786', 'wikidata': 'https://www.wikidata.org/wiki/Q205805', 'display_name': 'Conservation law', 'level': 2, 'score': 0.46958843}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.44699302}, {'id': 'https://openalex.org/C53469067', 'wikidata': 'https://www.wikidata.org/wiki/Q505735', 'display_name': 'Lagrangian', 'level': 2, 'score': 0.2864101}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2720108}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.07501662}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.062435567}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s40010-021-00741-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210173097', 'display_name': 'Proceedings of the National Academy of Sciences India Section A Physical Sciences', 'issn_l': '0369-8203', 'issn': ['0369-8203', '2250-1762'], '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': [], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '12002228'}, {'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '11972241'}, {'funder': 'https://openalex.org/F4320322769', 'funder_display_name': 'Natural Science Foundation of Jiangsu Province', 'award_id': 'BK20191454'}], 'datasets': [], 'versions': [], 'referenced_works_count': 50, 'referenced_works': ['https://openalex.org/W1777820008', 'https://openalex.org/W1864999785', 'https://openalex.org/W1974703664', 'https://openalex.org/W1992387038', 'https://openalex.org/W1995746029', 'https://openalex.org/W1996998781', 'https://openalex.org/W1997754559', 'https://openalex.org/W2014449093', 'https://openalex.org/W2017464038', 'https://openalex.org/W2038739254', 'https://openalex.org/W2052679817', 'https://openalex.org/W2052991183', 'https://openalex.org/W2061063405', 'https://openalex.org/W2065869359', 'https://openalex.org/W2068002984', 'https://openalex.org/W2068350767', 'https://openalex.org/W2080205875', 'https://openalex.org/W2081295890', 'https://openalex.org/W2088259243', 'https://openalex.org/W2098420613', 'https://openalex.org/W2098558353', 'https://openalex.org/W2099828728', 'https://openalex.org/W2105640560', 'https://openalex.org/W2111598242', 'https://openalex.org/W2137369682', 'https://openalex.org/W2137980878', 'https://openalex.org/W2139314717', 'https://openalex.org/W2169706630', 'https://openalex.org/W2173787395', 'https://openalex.org/W2191708545', 'https://openalex.org/W2211223403', 'https://openalex.org/W2240166405', 'https://openalex.org/W2280167180', 'https://openalex.org/W2345828062', 'https://openalex.org/W2386053417', 'https://openalex.org/W2393482294', 'https://openalex.org/W2602877630', 'https://openalex.org/W2605923007', 'https://openalex.org/W271810198', 'https://openalex.org/W2771735425', 'https://openalex.org/W2781746885', 'https://openalex.org/W2790875144', 'https://openalex.org/W2888296629', 'https://openalex.org/W2896150285', 'https://openalex.org/W3103381311', 'https://openalex.org/W3105377974', 'https://openalex.org/W3122294417', 'https://openalex.org/W3143640764', 'https://openalex.org/W4242424438', 'https://openalex.org/W4242450404'], 'related_works': ['https://openalex.org/W3139181228', 'https://openalex.org/W3116709391', 'https://openalex.org/W2570328700', 'https://openalex.org/W2385648915', 'https://openalex.org/W2376336167', 'https://openalex.org/W2317016502', 'https://openalex.org/W2240704240', 'https://openalex.org/W2074528466', 'https://openalex.org/W2060380538', 'https://openalex.org/W2054058675'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3139181228', 'counts_by_year': [], 'updated_date': '2024-08-27T19:25:48.308011', 'created_date': '2021-03-29'}