{"id":"https://openalex.org/W1964734920","doi":"https://doi.org/10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","title":"Stability analysis of periodic solutions in non-linear autonomous circuits: a discrete time approach","display_name":"Stability analysis of periodic solutions in non-linear autonomous circuits: a discrete time approach","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W1964734920","doi":"https://doi.org/10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","mag":"1964734920"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/97804","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026922873","display_name":"Joan M. Mir\u00f3-Sans","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136471","display_name":"FC Barcelona","ror":"https://ror.org/04bpz1v84","country_code":"ES","type":"other","lineage":["https://openalex.org/I4210136471"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Joan M. Mir\u00f3-Sans","raw_affiliation_strings":["UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]},{"raw_affiliation_string":"UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080363769","display_name":"Pere Pal\u00e0-Sch\u00f6nw\u00e4lder","orcid":"https://orcid.org/0000-0002-9096-4596"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]},{"id":"https://openalex.org/I4210136471","display_name":"FC Barcelona","ror":"https://ror.org/04bpz1v84","country_code":"ES","type":"other","lineage":["https://openalex.org/I4210136471"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pere Pal\u00e0-Sch\u00f6nw\u00e4lder","raw_affiliation_strings":["UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]},{"raw_affiliation_string":"UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078082602","display_name":"Orestes Mas","orcid":"https://orcid.org/0000-0003-4069-8901"},"institutions":[{"id":"https://openalex.org/I4210136471","display_name":"FC Barcelona","ror":"https://ror.org/04bpz1v84","country_code":"ES","type":"other","lineage":["https://openalex.org/I4210136471"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Orestes Mas-Casals","raw_affiliation_strings":["UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"UPC-Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E-08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]},{"raw_affiliation_string":"UPC\u2010Department of Signal Theory and Communications, Sor Eulalia d'Anzizu s/n, E\u201008034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210136471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026922873"],"corresponding_institution_ids":["https://openalex.org/I4210136471","https://openalex.org/I9617848"],"apc_list":{"value":3660,"currency":"USD","value_usd":3660},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.08943675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"4","first_page":"511","last_page":"517"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.92330002784729,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.92330002784729,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4910624027252197},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.41093289852142334},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.37642455101013184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.282646119594574},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.25313031673431396}],"concepts":[{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4910624027252197},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.41093289852142334},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.37642455101013184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.282646119594574},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.25313031673431396},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-007x(199607/08)24:4<511::aid-cta894>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:recercat.cat:2072/268778","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/97804","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:recercat.cat:2072/268778","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/97804","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W93312527","https://openalex.org/W2603296253","https://openalex.org/W1589203209","https://openalex.org/W2557454913","https://openalex.org/W828925460","https://openalex.org/W11365241","https://openalex.org/W1013667899","https://openalex.org/W2559405764","https://openalex.org/W157591366","https://openalex.org/W2732870254"],"abstract_inverted_index":{"Steady-state":[0],"methods":[1,40],"have":[2],"been":[3],"devised":[4],"to":[5,11,30,129],"compute":[6],"periodic":[7,118],"wave-forms":[8,119],"without":[9],"having":[10],"integrate":[12],"the\\nautonomous":[13],"circuit":[14,37],"equations":[15],"until":[16],"the":[17,24,58,65,68,71,80,83,103,114,130],"transients":[18],"die":[19],"out.":[20],"Stability":[21],"analysis":[22],"of":[23,48,57,67,76,82,92,106,116],"computed":[25,84],"solutions":[26,85],"is":[27,86],"the\\nnext":[28],"topic":[29],"be":[31,121],"addressed":[32],"by":[33],"a":[34,89,95],"steady":[35],"state":[36],"simulator.":[38],"Shooting":[39],"based":[41],"on":[42,64],"Newton's":[43],"iteration\\nare":[44],"expensive":[45],"in":[46],"terms":[47],"computing":[49],"time,":[50],"because":[51],"each":[52],"iteration":[53],"step":[54],"requires":[55],"integration":[56],"variational\\nequation,":[59],"but":[60],"directly":[61],"provide":[62],"information":[63],"stability":[66,81,115],"final":[69],"On":[70],"other":[72],"hand,":[73],"when\\nmaking":[74],"use":[75],"harmonic":[77],"balance":[78],"methods,":[79],"typically":[87],"investigated\\nfrom":[88],"continuation":[90],"point":[91],"view.4":[93],"Recently":[94],"discrete":[96],"time":[97],"approach":[98],"(DTA)":[99],"was":[100],"proposed":[101],"for":[102],"analysis\\nand":[104],"optimization":[105],"non-linear":[107],"autonomous":[108],"circuits.'":[109],"This":[110],"letter":[111],"describes":[112],"how":[113],"the\\ncomputed":[117],"may":[120],"easily":[122],"determined":[123],"(I":[124],"posteriori":[125],"with":[126],"no":[127],"modification":[128],"DTA\\nsolution":[131],"method.":[132]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}