{"id":"https://openalex.org/W2131666357","doi":"https://doi.org/10.1142/s0218127410027374","title":"TOPOLOGY AND PERIODIC ORBITS OF RING-SHAPED POTENTIALS AS A GENERALIZED 4-D ISOTROPIC OSCILLATOR","display_name":"TOPOLOGY AND PERIODIC ORBITS OF RING-SHAPED POTENTIALS AS A GENERALIZED 4-D ISOTROPIC OSCILLATOR","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2131666357","doi":"https://doi.org/10.1142/s0218127410027374","mag":"2131666357"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410027374","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027374","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015471645","display_name":"M. C. Balsas","orcid":null},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. C. BALSAS","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Cartagena (Murcia), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Cartagena (Murcia), Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103258284","display_name":"S. Ferrer","orcid":"https://orcid.org/0000-0003-0084-0192"},"institutions":[{"id":"https://openalex.org/I80180929","display_name":"Universidad de Murcia","ror":"https://ror.org/03p3aeb86","country_code":"ES","type":"education","lineage":["https://openalex.org/I80180929"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"S. FERRER","raw_affiliation_strings":["Universidad de Murcia, Spain","UNIVERSIDAD DE MURCIA, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]},{"raw_affiliation_string":"UNIVERSIDAD DE MURCIA, Spain","institution_ids":["https://openalex.org/I80180929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031393644","display_name":"E. S. Jim\u00e9nez","orcid":null},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. S. JIM\u00c9NEZ","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Cartagena (Murcia), Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Cartagena (Murcia), Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041740147","display_name":"Juan A. Vera","orcid":"https://orcid.org/0000-0003-3496-1531"},"institutions":[{"id":"https://openalex.org/I4210100615","display_name":"Centro Universitario de la Defensa en San Javier","ror":"https://ror.org/00nqz4988","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210100615"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. A. VERA","raw_affiliation_strings":["Centro Universitario de la Defensa (MDE-UPCT), Base A\u00e9rea de San Javier, C/General L\u00f3pez Pe\u00f1a s/n, 30720, Santiago de la Ribera, Murcia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro Universitario de la Defensa (MDE-UPCT), Base A\u00e9rea de San Javier, C/General L\u00f3pez Pe\u00f1a s/n, 30720, Santiago de la Ribera, Murcia, Spain","institution_ids":["https://openalex.org/I4210100615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2355,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59811672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"20","issue":"09","first_page":"2809","last_page":"2821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9965000152587891,"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":0.9965000152587891,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13458","display_name":"Astronomical and nuclear sciences","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.8906753063201904},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6971774101257324},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6491708159446716},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.6422830820083618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6303023099899292},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.5624457001686096},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5570211410522461},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4751315414905548},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4346333146095276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40079402923583984},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36441171169281006},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3222099542617798},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.26059722900390625},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.134365975856781},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10408329963684082}],"concepts":[{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.8906753063201904},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6971774101257324},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6491708159446716},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.6422830820083618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6303023099899292},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.5624457001686096},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5570211410522461},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4751315414905548},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4346333146095276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40079402923583984},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36441171169281006},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3222099542617798},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.26059722900390625},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.134365975856781},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10408329963684082},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127410027374","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410027374","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W197857299","https://openalex.org/W644171024","https://openalex.org/W1620466114","https://openalex.org/W1968265465","https://openalex.org/W2023422554","https://openalex.org/W2026342209","https://openalex.org/W2091209039","https://openalex.org/W2130126382","https://openalex.org/W2135539915","https://openalex.org/W2156277786","https://openalex.org/W2478975883","https://openalex.org/W3099430953","https://openalex.org/W4229862659","https://openalex.org/W4250196918"],"related_works":["https://openalex.org/W3112195757","https://openalex.org/W3206287350","https://openalex.org/W2067095166","https://openalex.org/W2597882770","https://openalex.org/W4386609754","https://openalex.org/W2800674439","https://openalex.org/W4288753900","https://openalex.org/W2378287236","https://openalex.org/W2799335287","https://openalex.org/W1991495821"],"abstract_inverted_index":{"In":[0],"this":[1,68,71,92],"work":[2],"we":[3,52,81],"study":[4,73],"a":[5,20,54],"generalized":[6],"integrable":[7],"biparametric":[8],"family":[9,15],"of":[10,44,58,63,67,77,86],"4-D":[11],"isotropic":[12],"oscillators.":[13],"This":[14],"allows":[16],"to":[17],"treat,":[18],"in":[19,48],"unified":[21],"way,":[22],"oscillators":[23],"defined":[24],"by":[25,29],"the":[26,38,42,45,59,64,75,78,83],"potentials":[27],"given":[28],"Hartmann":[30],"and":[31,33,41,74,88],"Quesne":[32],"other":[34],"ring-shaped":[35],"systems.":[36],"Using":[37],"Liouville\u2013Arnold":[39],"theorem":[40],"analysis":[43],"momentum":[46],"map":[47],"its":[49],"critical":[50],"points,":[51],"obtain":[53,82],"complete":[55],"topological":[56,72],"classification":[57,85],"different":[60],"invariant":[61],"sets":[62],"phase":[65],"flow":[66],"problem.":[69],"By":[70],"calculation":[76],"action-angle":[79],"variables":[80],"full":[84],"periodic":[87],"quasiperiodic":[89],"orbits":[90],"for":[91],"system.":[93]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
