Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1206242006', 'doi': 'https://doi.org/10.1007/978-1-4899-0964-0_9', 'title': 'On the Tendency Toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian Systems', 'display_name': 'On the Tendency Toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian Systems', 'publication_year': 1994, 'publication_date': '1994-01-01', 'ids': {'openalex': 'https://openalex.org/W1206242006', 'doi': 'https://doi.org/10.1007/978-1-4899-0964-0_9', 'mag': '1206242006'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4899-0964-0_9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210172633', 'display_name': 'NATO ASI series. Series B : Physics', 'issn_l': '0258-1221', 'issn': ['0258-1221'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', '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/A5071571084', 'display_name': 'Lyman P. Hurd', 'orcid': None}, 'institutions': [], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Lyman Hurd', 'raw_affiliation_strings': ['Iterated Systems, Corp., 5550A Peach Tree Parkway, Suite 545, Norcross, GA, 30092, USA'], 'affiliations': [{'raw_affiliation_string': 'Iterated Systems, Corp., 5550A Peach Tree Parkway, Suite 545, Norcross, GA, 30092, USA', 'institution_ids': []}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5019554559', 'display_name': 'Celso Grebogi', 'orcid': 'https://orcid.org/0000-0002-9811-4617'}, 'institutions': [{'id': 'https://openalex.org/I66946132', 'display_name': 'University of Maryland, College Park', 'ror': 'https://ror.org/047s2c258', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I66946132']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Celso Grebogi', 'raw_affiliation_strings': ['Laboratory for Plasma Research, University of Maryland, College Park, Maryland, 20742-3511, USA'], 'affiliations': [{'raw_affiliation_string': 'Laboratory for Plasma Research, University of Maryland, College Park, Maryland, 20742-3511, USA', 'institution_ids': ['https://openalex.org/I66946132']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5082913931', 'display_name': 'Edward Ott', 'orcid': 'https://orcid.org/0000-0002-9395-5062'}, 'institutions': [{'id': 'https://openalex.org/I66946132', 'display_name': 'University of Maryland, College Park', 'ror': 'https://ror.org/047s2c258', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I66946132']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Edward Ott', 'raw_affiliation_strings': ['Laboratory for Plasma Research, University of Maryland, College Park, Maryland, 20742-3511, USA'], 'affiliations': [{'raw_affiliation_string': 'Laboratory for Plasma Research, University of Maryland, College Park, Maryland, 20742-3511, USA', 'institution_ids': ['https://openalex.org/I66946132']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.698871, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 65}, 'biblio': {'volume': None, 'issue': None, 'first_page': '123', 'last_page': '129'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11261', 'display_name': 'Quantum chaos and dynamical systems', 'score': 0.9999, '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/T11261', 'display_name': 'Quantum chaos and dynamical systems', 'score': 0.9999, '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/T10591', 'display_name': 'Theoretical and Computational Physics', 'score': 0.994, 'subfield': {'id': 'https://openalex.org/subfields/3104', 'display_name': 'Condensed Matter 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': 'Nonlinear Dynamics and Pattern Formation', 'score': 0.9815, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/ergodicity', 'display_name': 'Ergodicity', 'score': 0.92647076}, {'id': 'https://openalex.org/keywords/hamiltonian', 'display_name': 'Hamiltonian (control theory)', 'score': 0.43179548}], 'concepts': [{'id': 'https://openalex.org/C201779956', 'wikidata': 'https://www.wikidata.org/wiki/Q5426803', 'display_name': 'Ergodicity', 'level': 2, 'score': 0.92647076}, {'id': 'https://openalex.org/C122044880', 'wikidata': 'https://www.wikidata.org/wiki/Q5498822', 'display_name': 'Ergodic theory', 'level': 2, 'score': 0.8477766}, {'id': 'https://openalex.org/C151342819', 'wikidata': 'https://www.wikidata.org/wiki/Q62542', 'display_name': 'Phase space', 'level': 2, 'score': 0.7318811}, {'id': 'https://openalex.org/C121770821', 'wikidata': 'https://www.wikidata.org/wiki/Q2072471', 'display_name': 'Hamiltonian system', 'level': 2, 'score': 0.72356457}, {'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.6455521}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.60397995}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.5845146}, {'id': 'https://openalex.org/C208081375', 'wikidata': 'https://www.wikidata.org/wiki/Q274502', 'display_name': 'Degrees of freedom (physics and chemistry)', 'level': 2, 'score': 0.5558567}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.55554706}, {'id': 'https://openalex.org/C130787639', 'wikidata': 'https://www.wikidata.org/wiki/Q5645293', 'display_name': 'Hamiltonian (control theory)', 'level': 2, 'score': 0.43179548}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4007118}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.3773634}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.35711113}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3186017}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.17025429}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.15359443}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.084349155}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.05894065}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4899-0964-0_9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210172633', 'display_name': 'NATO ASI series. Series B : Physics', 'issn_l': '0258-1221', 'issn': ['0258-1221'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, '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', 'id': 'https://metadata.un.org/sdg/16', 'score': 0.65}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W1496798092', 'https://openalex.org/W1994593469', 'https://openalex.org/W2089850232', 'https://openalex.org/W2091111385'], 'related_works': ['https://openalex.org/W964575223', 'https://openalex.org/W4302160352', 'https://openalex.org/W2952991236', 'https://openalex.org/W2950014027', 'https://openalex.org/W2385944013', 'https://openalex.org/W2136727990', 'https://openalex.org/W2009962825', 'https://openalex.org/W1972942382', 'https://openalex.org/W1722744795', 'https://openalex.org/W124275629'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1206242006', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}], 'updated_date': '2024-12-06T14:45:37.474561', 'created_date': '2016-06-24'}