Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W193272743', 'doi': 'https://doi.org/10.1007/0-387-22655-9_11', 'title': 'Towards a Theory of Random Numerical Dynamics', 'display_name': 'Towards a Theory of Random Numerical Dynamics', 'publication_year': 2007, 'publication_date': '2007-12-13', 'ids': {'openalex': 'https://openalex.org/W193272743', 'doi': 'https://doi.org/10.1007/0-387-22655-9_11', 'mag': '193272743'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/0-387-22655-9_11', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': 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': 'ebook platform'}, '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/A5021471659', 'display_name': 'Peter E. Kloeden', 'orcid': 'https://orcid.org/0000-0001-9505-2257'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Peter E. Kloeden', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5002212453', 'display_name': 'Hannes Keller', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Hannes Keller', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5113600886', 'display_name': 'Björn Schmalfuß', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Björn Schmalfuß', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 6.319, 'has_fulltext': False, 'cited_by_count': 34, 'citation_normalized_percentile': {'value': 0.901813, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': None, 'issue': None, 'first_page': '259', 'last_page': '282'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11110', 'display_name': 'Stability and Controllability of Differential Equations', 'score': 0.9999, '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/T11110', 'display_name': 'Stability and Controllability of Differential Equations', 'score': 0.9999, '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/T12100', 'display_name': 'Advanced Mathematical Modeling in Engineering', 'score': 0.9964, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, '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': 0.9939, '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/formalism', 'display_name': 'Formalism (music)', 'score': 0.6512381}], 'concepts': [{'id': 'https://openalex.org/C164380108', 'wikidata': 'https://www.wikidata.org/wiki/Q507187', 'display_name': 'Attractor', 'level': 2, 'score': 0.75525165}, {'id': 'https://openalex.org/C79379906', 'wikidata': 'https://www.wikidata.org/wiki/Q3174497', 'display_name': 'Dynamical systems theory', 'level': 2, 'score': 0.74641883}, {'id': 'https://openalex.org/C73000952', 'wikidata': 'https://www.wikidata.org/wiki/Q17007827', 'display_name': 'Discretization', 'level': 2, 'score': 0.710813}, {'id': 'https://openalex.org/C73301696', 'wikidata': 'https://www.wikidata.org/wiki/Q5469984', 'display_name': 'Formalism (music)', 'level': 3, 'score': 0.6512381}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.5791861}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5292758}, {'id': 'https://openalex.org/C193817511', 'wikidata': 'https://www.wikidata.org/wiki/Q7291964', 'display_name': 'Random dynamical system', 'level': 4, 'score': 0.4876455}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.35695964}, {'id': 'https://openalex.org/C114275822', 'wikidata': 'https://www.wikidata.org/wiki/Q621512', 'display_name': 'Linear dynamical system', 'level': 3, 'score': 0.26808822}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2429679}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.21196398}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.10763672}, {'id': 'https://openalex.org/C142362112', 'wikidata': 'https://www.wikidata.org/wiki/Q735', 'display_name': 'Art', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C558565934', 'wikidata': 'https://www.wikidata.org/wiki/Q2743', 'display_name': 'Musical', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C153349607', 'wikidata': 'https://www.wikidata.org/wiki/Q36649', 'display_name': 'Visual arts', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/0-387-22655-9_11', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': 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': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1575104486', 'https://openalex.org/W159942085', 'https://openalex.org/W1606025804', 'https://openalex.org/W1802196594', 'https://openalex.org/W192421812', 'https://openalex.org/W194549626', 'https://openalex.org/W1964078443', 'https://openalex.org/W1967034268', 'https://openalex.org/W1970788797', 'https://openalex.org/W1976909009', 'https://openalex.org/W1979569363', 'https://openalex.org/W1986479705', 'https://openalex.org/W2001659478', 'https://openalex.org/W2022693520', 'https://openalex.org/W2068806687', 'https://openalex.org/W2070430318', 'https://openalex.org/W2071701027', 'https://openalex.org/W2074185358', 'https://openalex.org/W2075295996', 'https://openalex.org/W2099786253', 'https://openalex.org/W2163335994', 'https://openalex.org/W2314913127', 'https://openalex.org/W2346714215', 'https://openalex.org/W2494583914', 'https://openalex.org/W2499763731', 'https://openalex.org/W25454229', 'https://openalex.org/W278509721', 'https://openalex.org/W4230540897', 'https://openalex.org/W4231021340', 'https://openalex.org/W4237611790', 'https://openalex.org/W4250087930', 'https://openalex.org/W4292366057', 'https://openalex.org/W4388318131', 'https://openalex.org/W562619202'], 'related_works': ['https://openalex.org/W913946616', 'https://openalex.org/W4312032520', 'https://openalex.org/W4285202783', 'https://openalex.org/W4212836124', 'https://openalex.org/W3148954325', 'https://openalex.org/W2982079848', 'https://openalex.org/W2511324995', 'https://openalex.org/W2099786253', 'https://openalex.org/W2056078543', 'https://openalex.org/W2044696633'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W193272743', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2025-01-17T04:38:19.956726', 'created_date': '2016-06-24'}