{"id":"https://openalex.org/W1986308174","doi":"https://doi.org/10.3390/e14112351","title":"Periodic Cosmological Evolutions of Equation of State for Dark Energy","display_name":"Periodic Cosmological Evolutions of Equation of State for Dark Energy","publication_year":2012,"publication_date":"2012-11-20","ids":{"openalex":"https://openalex.org/W1986308174","doi":"https://doi.org/10.3390/e14112351","mag":"1986308174"},"language":"en","primary_location":{"id":"doi:10.3390/e14112351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112351","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2351/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/11/2351/pdf?version=1424784906","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kazuharu Bamba","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]},{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP","KZ"],"is_corresponding":true,"raw_author_name":"Kazuharu Bamba","raw_affiliation_strings":["Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan"],"affiliations":[{"raw_affiliation_string":"Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]},{"raw_affiliation_string":"Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ujjal Debnath","orcid":null},"institutions":[{"id":"https://openalex.org/I98365261","display_name":"Indian Institute of Engineering Science and Technology, Shibpur","ror":"https://ror.org/02ytfzr55","country_code":"IN","type":"education","lineage":["https://openalex.org/I98365261"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ujjal Debnath","raw_affiliation_strings":["Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India","institution_ids":["https://openalex.org/I98365261"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kuralay Yesmakhanova","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Kuralay Yesmakhanova","raw_affiliation_strings":["Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"affiliations":[{"raw_affiliation_string":"Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Petr Tsyba","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Petr Tsyba","raw_affiliation_strings":["Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"affiliations":[{"raw_affiliation_string":"Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Gulgasyl Nugmanova","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Gulgasyl Nugmanova","raw_affiliation_strings":["Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"affiliations":[{"raw_affiliation_string":"Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"last","author":{"id":null,"display_name":"Ratbay Myrzakulov","orcid":null},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Ratbay Myrzakulov","raw_affiliation_strings":["Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan"],"affiliations":[{"raw_affiliation_string":"Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I10232997","https://openalex.org/I60134161"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.501,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82529651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"11","first_page":"2351","last_page":"2374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9545000195503235,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9545000195503235,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.009499999694526196,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.003800000064074993,"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/dark-energy","display_name":"Dark energy","score":0.9101999998092651},{"id":"https://openalex.org/keywords/equation-of-state","display_name":"Equation of state","score":0.6025000214576721},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.5475999712944031},{"id":"https://openalex.org/keywords/dark-fluid","display_name":"Dark fluid","score":0.5454999804496765},{"id":"https://openalex.org/keywords/big-rip","display_name":"Big Rip","score":0.5162000060081482},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5022000074386597},{"id":"https://openalex.org/keywords/phantom-energy","display_name":"Phantom energy","score":0.4943999946117401},{"id":"https://openalex.org/keywords/chaplygin-gas","display_name":"Chaplygin gas","score":0.46299999952316284},{"id":"https://openalex.org/keywords/cosmology","display_name":"Cosmology","score":0.41269999742507935}],"concepts":[{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.9101999998092651},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8557999730110168},{"id":"https://openalex.org/C53810900","wikidata":"https://www.wikidata.org/wiki/Q214967","display_name":"Equation of state","level":2,"score":0.6025000214576721},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.5475999712944031},{"id":"https://openalex.org/C29761201","wikidata":"https://www.wikidata.org/wiki/Q5223514","display_name":"Dark fluid","level":4,"score":0.5454999804496765},{"id":"https://openalex.org/C11346066","wikidata":"https://www.wikidata.org/wiki/Q261585","display_name":"Big Rip","level":5,"score":0.5162000060081482},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C46709128","wikidata":"https://www.wikidata.org/wiki/Q2264099","display_name":"Phantom energy","level":5,"score":0.4943999946117401},{"id":"https://openalex.org/C2777515927","wikidata":"https://www.wikidata.org/wiki/Q5073250","display_name":"Chaplygin gas","level":4,"score":0.46299999952316284},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.43160000443458557},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.41269999742507935},{"id":"https://openalex.org/C159249277","wikidata":"https://www.wikidata.org/wiki/Q79925","display_name":"Dark matter","level":2,"score":0.41130000352859497},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3864000141620636},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3702000081539154},{"id":"https://openalex.org/C19262093","wikidata":"https://www.wikidata.org/wiki/Q3036474","display_name":"De Sitter universe","level":3,"score":0.3693999946117401},{"id":"https://openalex.org/C66157390","wikidata":"https://www.wikidata.org/wiki/Q7429682","display_name":"Scalar field dark matter","level":4,"score":0.3637000024318695},{"id":"https://openalex.org/C20154449","wikidata":"https://www.wikidata.org/wiki/Q1129469","display_name":"Metric expansion of space","level":4,"score":0.35109999775886536},{"id":"https://openalex.org/C125860484","wikidata":"https://www.wikidata.org/wiki/Q500699","display_name":"Age of the universe","level":4,"score":0.33180001378059387},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.32089999318122864},{"id":"https://openalex.org/C95200732","wikidata":"https://www.wikidata.org/wiki/Q18346","display_name":"Physical cosmology","level":4,"score":0.3125},{"id":"https://openalex.org/C118534291","wikidata":"https://www.wikidata.org/wiki/Q692197","display_name":"Lambda-CDM model","level":4,"score":0.3100000023841858},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3012999892234802},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2994000017642975},{"id":"https://openalex.org/C195407617","wikidata":"https://www.wikidata.org/wiki/Q1647152","display_name":"Shape of the universe","level":4,"score":0.2827000021934509},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C2992891135","wikidata":"https://www.wikidata.org/wiki/Q18346","display_name":"Cosmological model","level":3,"score":0.26669999957084656}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e14112351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112351","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2351/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1203.4226","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.4226","pdf_url":"https://arxiv.org/pdf/1203.4226","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:b1b5c89bfe5d4e6881e961e315216bc7","is_oa":true,"landing_page_url":"https://doaj.org/article/b1b5c89bfe5d4e6881e961e315216bc7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 14, Iss 11, Pp 2351-2374 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/11/2351/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14112351","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 14; Issue 11; Pages: 2351-2374","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14112351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112351","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2351/pdf?version=1424784906","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1986308174.pdf","grobid_xml":"https://content.openalex.org/works/W1986308174.grobid-xml"},"referenced_works_count":130,"referenced_works":["https://openalex.org/W1479685469","https://openalex.org/W1502715441","https://openalex.org/W1548132968","https://openalex.org/W1559682705","https://openalex.org/W1610642009","https://openalex.org/W1791150725","https://openalex.org/W1853767801","https://openalex.org/W1951110661","https://openalex.org/W1963581370","https://openalex.org/W1964290154","https://openalex.org/W1964612370","https://openalex.org/W1969570109","https://openalex.org/W1970210438","https://openalex.org/W1972690230","https://openalex.org/W1975898561","https://openalex.org/W1976669511","https://openalex.org/W1979287894","https://openalex.org/W1983203742","https://openalex.org/W1989305208","https://openalex.org/W1989589910","https://openalex.org/W1990110347","https://openalex.org/W1992048240","https://openalex.org/W1993178879","https://openalex.org/W1995653689","https://openalex.org/W1997546505","https://openalex.org/W1998993416","https://openalex.org/W1999890836","https://openalex.org/W1999972720","https://openalex.org/W2000239314","https://openalex.org/W2000326990","https://openalex.org/W2001368584","https://openalex.org/W2004188331","https://openalex.org/W2008432753","https://openalex.org/W2009467521","https://openalex.org/W2012736898","https://openalex.org/W2015657696","https://openalex.org/W2020108799","https://openalex.org/W2026027513","https://openalex.org/W2029143135","https://openalex.org/W2030178578","https://openalex.org/W2033282485","https://openalex.org/W2035091607","https://openalex.org/W2035914058","https://openalex.org/W2036482104","https://openalex.org/W2045611931","https://openalex.org/W2048446165","https://openalex.org/W2051676392","https://openalex.org/W2052998795","https://openalex.org/W2055509996","https://openalex.org/W2056461828","https://openalex.org/W2057221700","https://openalex.org/W2058683843","https://openalex.org/W2059188324","https://openalex.org/W2061236531","https://openalex.org/W2062424168","https://openalex.org/W2066277735","https://openalex.org/W2069183822","https://openalex.org/W2072300082","https://openalex.org/W2072375180","https://openalex.org/W2072797064","https://openalex.org/W2073736031","https://openalex.org/W2073832139","https://openalex.org/W2078995945","https://openalex.org/W2080116030","https://openalex.org/W2083007884","https://openalex.org/W2083559741","https://openalex.org/W2086026150","https://openalex.org/W2089109409","https://openalex.org/W2090959475","https://openalex.org/W2091262560","https://openalex.org/W2093325652","https://openalex.org/W2096418564","https://openalex.org/W2100367618","https://openalex.org/W2102463454","https://openalex.org/W2103524052","https://openalex.org/W2104458164","https://openalex.org/W2105307256","https://openalex.org/W2106112968","https://openalex.org/W2108059276","https://openalex.org/W2108313227","https://openalex.org/W2112549839","https://openalex.org/W2112807751","https://openalex.org/W2114413990","https://openalex.org/W2114583165","https://openalex.org/W2118265220","https://openalex.org/W2122063226","https://openalex.org/W2122434506","https://openalex.org/W2123076672","https://openalex.org/W2124601931","https://openalex.org/W2125934807","https://openalex.org/W2126982862","https://openalex.org/W2131279590","https://openalex.org/W2135564837","https://openalex.org/W2140804629","https://openalex.org/W2143520275","https://openalex.org/W2147875900","https://openalex.org/W2149441316","https://openalex.org/W2153811626","https://openalex.org/W2153853910","https://openalex.org/W2154748230","https://openalex.org/W2156815396","https://openalex.org/W2159215621","https://openalex.org/W2159942560","https://openalex.org/W2160168896","https://openalex.org/W2160253850","https://openalex.org/W2162447676","https://openalex.org/W2169999979","https://openalex.org/W2171173077","https://openalex.org/W2239117083","https://openalex.org/W2593427251","https://openalex.org/W2949176215","https://openalex.org/W2949588884","https://openalex.org/W2964003870","https://openalex.org/W2995077049","https://openalex.org/W3014272419","https://openalex.org/W3037141003","https://openalex.org/W3037249162","https://openalex.org/W3037504478","https://openalex.org/W3037516327","https://openalex.org/W3037580761","https://openalex.org/W4205571174","https://openalex.org/W4247170580","https://openalex.org/W4410799204","https://openalex.org/W6635069275","https://openalex.org/W6637176888","https://openalex.org/W6639268736","https://openalex.org/W6764303074","https://openalex.org/W6789457722","https://openalex.org/W6929683698","https://openalex.org/W6948214000"],"related_works":[],"abstract_inverted_index":{"We":[0],"demonstrate":[1],"two":[2,37],"periodic":[3],"or":[4,103],"quasi-periodic":[5],"generalizations":[6],"of":[7,18,61,64,67,106,126],"the":[8,16,28,42,56,62,71,86,91,100,104,107,117],"Chaplygin":[9],"gas":[10],"(CG)":[11],"type":[12,82],"models":[13,83],"to":[14],"explain":[15],"origins":[17],"dark":[19,24,68],"energy":[20,69],"as":[21,23],"well":[22],"matter":[25],"by":[26],"using":[27],"Weierstrass":[29],"\u03be(t),":[30],"\u03c3(t)":[31],"and":[32,59,116],"\u03b6":[33],"(t)":[34],"functions":[35],"with":[36],"periods":[38],"being":[39],"infinite.":[40],"If":[41],"universe":[43,49,87],"can":[44,50,110],"evolve":[45],"periodically,":[46],"a":[47],"non-singular":[48],"be":[51,111],"realized.":[52,112],"Furthermore,":[53],"we":[54],"examine":[55],"cosmological":[57],"evolution":[58],"nature":[60],"equation":[63],"state":[65],"(EoS)":[66],"in":[70,84,90,99],"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker":[72],"cosmology.":[73],"It":[74],"is":[75],"explicitly":[76],"illustrated":[77],"that":[78],"there":[79],"exist":[80],"three":[81],"which":[85],"always":[88,97],"stays":[89],"non-phantom":[92],"(quintessence)":[93],"phase,":[94,102],"whereas":[95],"it":[96],"evolves":[98],"phantom":[101,108],"crossing":[105],"divide":[109],"The":[113],"scalar":[114],"fields":[115],"corresponding":[118],"potentials":[119],"are":[120],"also":[121],"analyzed":[122],"for":[123],"different":[124],"types":[125],"models.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}