{"id":"https://openalex.org/W4405458710","doi":"https://doi.org/10.3390/computation12120246","title":"Classical Chaos in a Driven One-Dimensional Quartic Anharmonic Oscillator","display_name":"Classical Chaos in a Driven One-Dimensional Quartic Anharmonic Oscillator","publication_year":2024,"publication_date":"2024-12-17","ids":{"openalex":"https://openalex.org/W4405458710","doi":"https://doi.org/10.3390/computation12120246"},"language":"en","primary_location":{"id":"doi:10.3390/computation12120246","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12120246","pdf_url":"https://www.mdpi.com/2079-3197/12/12/246/pdf?version=1734423370","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/12/12/246/pdf?version=1734423370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024884250","display_name":"Yun-Hsi Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yun-Hsi Lin","raw_affiliation_strings":["Pacific American School, Zhubei 30272, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pacific American School, Zhubei 30272, Taiwan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054139623","display_name":"Jeng\u2010Da Chai","orcid":"https://orcid.org/0000-0002-3994-2279"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jeng-Da Chai","raw_affiliation_strings":["Center for Theoretical Physics and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan","Department of Physics, National Taiwan University, Taipei 10617, Taiwan","Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-3994-2279","affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I16733864"]},{"raw_affiliation_string":"Department of Physics, National Taiwan University, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054139623"],"corresponding_institution_ids":["https://openalex.org/I16733864","https://openalex.org/I4210119858","https://openalex.org/I4403386790"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2138875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"12","first_page":"246","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9994000196456909,"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":0.9994000196456909,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9968000054359436,"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/anharmonicity","display_name":"Anharmonicity","score":0.912044882774353},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.897261381149292},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.8160429000854492},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.48787569999694824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45607924461364746},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3475996255874634},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3413131833076477},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.333051860332489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32770591974258423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20988434553146362},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09964963793754578},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.0628288984298706}],"concepts":[{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.912044882774353},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.897261381149292},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.8160429000854492},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48787569999694824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45607924461364746},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3475996255874634},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3413131833076477},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.333051860332489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32770591974258423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20988434553146362},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09964963793754578},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0628288984298706}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation12120246","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12120246","pdf_url":"https://www.mdpi.com/2079-3197/12/12/246/pdf?version=1734423370","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:aebc5330911249a8aad41f9fd926a3c8","is_oa":true,"landing_page_url":"https://doaj.org/article/aebc5330911249a8aad41f9fd926a3c8","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 12, Iss 12, p 246 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation12120246","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12120246","pdf_url":"https://www.mdpi.com/2079-3197/12/12/246/pdf?version=1734423370","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G2065405741","display_name":null,"funder_award_id":"NSTC113-2112-M-002-032","funder_id":"https://openalex.org/F2461203286","funder_display_name":"National Science and Technology Council"}],"funders":[{"id":"https://openalex.org/F2461203286","display_name":"National Science and Technology Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320311041","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67"},{"id":"https://openalex.org/F4320323900","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405458710.pdf","grobid_xml":"https://content.openalex.org/works/W4405458710.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W840591150","https://openalex.org/W1491203792","https://openalex.org/W1496798092","https://openalex.org/W1989534313","https://openalex.org/W2004314130","https://openalex.org/W2024060834","https://openalex.org/W2040845417","https://openalex.org/W2065382523","https://openalex.org/W2085261683","https://openalex.org/W2089876099","https://openalex.org/W2160163816","https://openalex.org/W2168711358","https://openalex.org/W2563384440","https://openalex.org/W3110057029","https://openalex.org/W4234436290","https://openalex.org/W4251303054","https://openalex.org/W4283796326","https://openalex.org/W4300831640","https://openalex.org/W4368404776"],"related_works":["https://openalex.org/W2005950603","https://openalex.org/W2060236604","https://openalex.org/W2059069406","https://openalex.org/W3102189123","https://openalex.org/W2023080850","https://openalex.org/W3103963767","https://openalex.org/W4253614627","https://openalex.org/W2056373142","https://openalex.org/W3102308972","https://openalex.org/W2053333183"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,89],"investigate":[4],"the":[5,31,50,60,67,72,79,84,92,96,110,127],"transition":[6],"from":[7],"regular":[8],"dynamics":[9],"to":[10,28,59,76,126],"chaotic":[11],"behavior":[12],"in":[13,66],"a":[14,22,45,99,113],"one-dimensional":[15],"quartic":[16,36,47,86],"anharmonic":[17,37,48,64,87],"classical":[18],"oscillator":[19,38,93],"driven":[20,46,85],"by":[21,107],"time-dependent":[23],"external":[24],"square-wave":[25],"force.":[26],"Owing":[27],"energy":[29,69],"conservation,":[30],"motion":[32,53,82,94],"of":[33,52,62,81,98,115,129],"an":[34,63],"undriven":[35],"is":[39],"regular,":[40,105],"periodic,":[41],"and":[42,122],"stable.":[43],"For":[44],"oscillator,":[49,88],"equations":[51,80],"cannot":[54],"be":[55],"solved":[56],"analytically":[57],"due":[58,125],"presence":[61],"term":[65],"potential":[68],"function.":[70],"Using":[71],"fourth-order":[73],"Runge\u2013Kutta":[74],"method":[75],"numerically":[77],"solve":[78],"for":[83],"find":[90],"that":[91],"under":[95],"influence":[97],"sufficiently":[100],"small":[101],"driving":[102,111],"force":[103],"remains":[104],"while":[106],"gradually":[108],"increasing":[109],"force,":[112],"series":[114],"nonlinear":[116],"resonances":[117],"can":[118],"occur,":[119],"grow,":[120],"overlap,":[121],"ultimately":[123],"disappear":[124],"emergence":[128],"chaos.":[130]},"counts_by_year":[],"updated_date":"2026-03-07T13:37:22.277990","created_date":"2025-10-10T00:00:00"}