Publication Information

{'id': 'https://openalex.org/W2160470440', 'doi': 'https://doi.org/10.1109/cdc.2006.376752', 'title': 'Controlled Invariant Manifolds: a Normally-Hyperbolic Viewpoint', 'display_name': 'Controlled Invariant Manifolds: a Normally-Hyperbolic Viewpoint', 'publication_year': 2006, 'publication_date': '2006-01-01', 'ids': {'openalex': 'https://openalex.org/W2160470440', 'doi': 'https://doi.org/10.1109/cdc.2006.376752', 'mag': '2160470440'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/cdc.2006.376752', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'proceedings-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/A5023575172', 'display_name': 'Viswanath Talasila', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I47508984', 'display_name': 'Imperial College London', 'ror': 'https://ror.org/041kmwe10', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I47508984']}], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'Viswanath Talasila', 'raw_affiliation_strings': ['Department of Electrical Engineering, Imperial College London, London, UK'], 'affiliations': [{'raw_affiliation_string': 'Department of Electrical Engineering, Imperial College London, London, UK', 'institution_ids': ['https://openalex.org/I47508984']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5018225150', 'display_name': 'Alessandro Astolfi', 'orcid': 'https://orcid.org/0000-0002-4331-454X'}, 'institutions': [{'id': 'https://openalex.org/I47508984', 'display_name': 'Imperial College London', 'ror': 'https://ror.org/041kmwe10', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I47508984']}, {'id': 'https://openalex.org/I116067653', 'display_name': 'University of Rome Tor Vergata', 'ror': 'https://ror.org/02p77k626', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I116067653']}], 'countries': ['GB', 'IT'], 'is_corresponding': False, 'raw_author_name': 'Alessandro Astolfi', 'raw_affiliation_strings': ['Department of Electrical Engineering, Imperial College London, London, UK', 'Dipartimento di Informatica, Sistemi e Produzione, Universitá di Roma Tor Vergata, Rome, Italy'], 'affiliations': [{'raw_affiliation_string': 'Department of Electrical Engineering, Imperial College London, London, UK', 'institution_ids': ['https://openalex.org/I47508984']}, {'raw_affiliation_string': 'Dipartimento di Informatica, Sistemi e Produzione, Universitá di Roma Tor Vergata, Rome, Italy', 'institution_ids': ['https://openalex.org/I116067653']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5048520433', 'display_name': 'Jesús Clemente-Gallardo', 'orcid': 'https://orcid.org/0000-0003-4721-7381'}, 'institutions': [], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'J. Clemente-Gallardo', 'raw_affiliation_strings': ['Instituto de Biocomputacion y Fisica de los Sistemas Complejos, Spain'], 'affiliations': [{'raw_affiliation_string': 'Instituto de Biocomputacion y Fisica de los Sistemas Complejos, Spain', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.96, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.416318, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 68, 'max': 72}, 'biblio': {'volume': None, 'issue': None, 'first_page': '5863', 'last_page': '5868'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11110', 'display_name': 'Stability and Controllability of Differential Equations', 'score': 0.9976, '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': 0.9976, '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/T12396', 'display_name': 'Advanced Differential Equations and Dynamical Systems', 'score': 0.9838, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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': 'Quantum chaos and dynamical systems', 'score': 0.9834, '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/manifold', 'display_name': 'Manifold (fluid mechanics)', 'score': 0.6528058}, {'id': 'https://openalex.org/keywords/center-manifold', 'display_name': 'Center manifold', 'score': 0.6462915}, {'id': 'https://openalex.org/keywords/stable-manifold', 'display_name': 'Stable manifold', 'score': 0.623891}], 'concepts': [{'id': 'https://openalex.org/C20483540', 'wikidata': 'https://www.wikidata.org/wiki/Q4200516', 'display_name': 'Invariant manifold', 'level': 2, 'score': 0.7984541}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.79425174}, {'id': 'https://openalex.org/C529865628', 'wikidata': 'https://www.wikidata.org/wiki/Q1790740', 'display_name': 'Manifold (fluid mechanics)', 'level': 2, 'score': 0.6528058}, {'id': 'https://openalex.org/C74774103', 'wikidata': 'https://www.wikidata.org/wiki/Q4504202', 'display_name': 'Center manifold', 'level': 5, 'score': 0.6462915}, {'id': 'https://openalex.org/C50429861', 'wikidata': 'https://www.wikidata.org/wiki/Q3554830', 'display_name': 'Stable manifold', 'level': 2, 'score': 0.623891}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.57913965}, {'id': 'https://openalex.org/C70984080', 'wikidata': 'https://www.wikidata.org/wiki/Q2619102', 'display_name': 'Hyperbolic manifold', 'level': 3, 'score': 0.5354462}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.4960507}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.45668426}, {'id': 'https://openalex.org/C79379906', 'wikidata': 'https://www.wikidata.org/wiki/Q3174497', 'display_name': 'Dynamical systems theory', 'level': 2, 'score': 0.4261551}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.38008302}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.26743114}, {'id': 'https://openalex.org/C92047909', 'wikidata': 'https://www.wikidata.org/wiki/Q204034', 'display_name': 'Hyperbolic function', 'level': 2, 'score': 0.24477407}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.17693487}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.11971471}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.06738928}, {'id': 'https://openalex.org/C78519656', 'wikidata': 'https://www.wikidata.org/wiki/Q101333', 'display_name': 'Mechanical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C172435161', 'wikidata': 'https://www.wikidata.org/wiki/Q531126', 'display_name': 'Hopf bifurcation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C2781349735', 'wikidata': 'https://www.wikidata.org/wiki/Q4904824', 'display_name': 'Bifurcation', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/cdc.2006.376752', 'pdf_url': None, 'source': None, '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': 35, 'referenced_works': ['https://openalex.org/W1515224583', 'https://openalex.org/W1520543828', 'https://openalex.org/W1534004526', 'https://openalex.org/W1548148540', 'https://openalex.org/W1575810376', 'https://openalex.org/W1579475312', 'https://openalex.org/W1887006513', 'https://openalex.org/W1970107727', 'https://openalex.org/W2008995486', 'https://openalex.org/W2029144431', 'https://openalex.org/W2034221685', 'https://openalex.org/W2045617928', 'https://openalex.org/W2059625173', 'https://openalex.org/W2089876099', 'https://openalex.org/W2090167557', 'https://openalex.org/W2099374218', 'https://openalex.org/W2109640889', 'https://openalex.org/W2142428281', 'https://openalex.org/W2144355672', 'https://openalex.org/W2155258098', 'https://openalex.org/W2159524215', 'https://openalex.org/W2162549367', 'https://openalex.org/W2171649678', 'https://openalex.org/W2173487526', 'https://openalex.org/W2344969227', 'https://openalex.org/W2566899710', 'https://openalex.org/W2576592702', 'https://openalex.org/W2739685101', 'https://openalex.org/W3160954918', 'https://openalex.org/W4231941367', 'https://openalex.org/W4245176833', 'https://openalex.org/W4246342582', 'https://openalex.org/W4292872153', 'https://openalex.org/W4310301864', 'https://openalex.org/W610804881'], 'related_works': ['https://openalex.org/W3152370143', 'https://openalex.org/W3021060928', 'https://openalex.org/W2468416866', 'https://openalex.org/W2243875171', 'https://openalex.org/W2129195111', 'https://openalex.org/W2087723889', 'https://openalex.org/W2077286646', 'https://openalex.org/W2041496883', 'https://openalex.org/W1983459863', 'https://openalex.org/W1536954903'], 'abstract_inverted_index': {'In': [0, 39], 'the': [1, 5, 19, 32, 35, 47, 55, 78, 90], 'dynamical': [2], 'systems': [3], 'community': [4], 'concept': [6, 91], 'of': [7, 21, 34, 80, 92], 'normal': [8, 81], 'hyperbolicity': [9, 82], 'has': [10], 'been': [11, 28], 'used': [12], 'to': [13, 46, 66], 'devise': [14], 'efficient': [15], 'numerical': [16, 25], 'algorithms': [17, 26], 'for': [18, 83], 'computation': [20], 'invariant': [22, 36, 61], 'manifolds.': [23], 'These': [24], 'have': [27], 'designed': [29], 'based': [30], 'on': [31], 'proof': [33], 'manifold': [37, 49, 62], 'theorem.': [38], 'this': [40, 44], 'paper': [41], 'we': [42], 'extend': [43], 'theorem': [45], 'controlled-invariant': [48], 'case.': [50], 'We': [51, 69], 'also': [52], 'briefly': [53], 'discuss': [54, 77], 'conditions': [56], 'under': [57], 'which': [58], 'a': [59, 71], 'given': [60], 'can': [63], 'be': [64, 67], 'determined': [65], 'normally-hyperbolic.': [68], 'present': [70], 'few': [72], 'prototypical': [73], 'control': [74], 'problems,': [75], 'and': [76], 'relevance': [79], 'these,': [84], 'an': [85], 'important': [86], 'issue': [87], 'here': [88], 'is': [89], 'structurally': [93], 'stable': [94], 'manifolds': [95]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2160470440', 'counts_by_year': [], 'updated_date': '2024-12-07T19:06:27.592075', 'created_date': '2016-06-24'}