{"id":"https://openalex.org/W7225760159","doi":"https://doi.org/10.32782/it/2026-3-12","title":"THE CONDITIONS OF TRANSITION BETWEEN REGULAR AND CHAOTIC MOTION OF A CHARGED DOUBLE PENDULUM IN A UNIFORM ELECTROSTATIC FIELD","display_name":"THE CONDITIONS OF TRANSITION BETWEEN REGULAR AND CHAOTIC MOTION OF A CHARGED DOUBLE PENDULUM IN A UNIFORM ELECTROSTATIC FIELD","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225760159","doi":"https://doi.org/10.32782/it/2026-3-12"},"language":"en","primary_location":{"id":"doi:10.32782/it/2026-3-12","doi":"https://doi.org/10.32782/it/2026-3-12","is_oa":true,"landing_page_url":"https://doi.org/10.32782/it/2026-3-12","pdf_url":null,"source":{"id":"https://openalex.org/S4387283121","display_name":"Information Technology Computer Science Software Engineering and Cyber Security","issn_l":"2786-507X","issn":["2786-507X","2786-5088"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4327874098","host_organization_name":"Publishing House Helvetica","host_organization_lineage":["https://openalex.org/P4327874098"],"host_organization_lineage_names":["Publishing House Helvetica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology: Computer Science, Software Engineering and Cyber Security","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.32782/it/2026-3-12","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009647787","display_name":"St. M.","orcid":"https://orcid.org/0000-0002-6765-7301","observed_orcids":["https://orcid.org/0000-0002-6765-7301"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Mykyta DMYTRIIEV","raw_affiliation_strings":["\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb"],"raw_orcid":"https://orcid.org/0000-0002-6765-7301","affiliations":[{"raw_affiliation_string":"\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5161389673","display_name":"Anastasiia TSYPLENKOVA","orcid":"https://orcid.org/0009-0006-2386-388X","observed_orcids":["https://orcid.org/0009-0006-2386-388X"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Anastasiia TSYPLENKOVA","raw_affiliation_strings":["\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb"],"raw_orcid":"https://orcid.org/0009-0006-2386-388X","affiliations":[{"raw_affiliation_string":"\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068789961","display_name":"Larysa Koriashkina","orcid":"https://orcid.org/0000-0001-6423-092X","observed_orcids":["https://orcid.org/0000-0001-6423-092X"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Larysa KORIASHKINA","raw_affiliation_strings":["\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb"],"raw_orcid":"https://orcid.org/0000-0001-6423-092X","affiliations":[{"raw_affiliation_string":"\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5141029079","display_name":"Lyudmila Bartashevskaya","orcid":"https://orcid.org/0000-0002-7825-5199","observed_orcids":["https://orcid.org/0000-0002-7825-5199"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Lyudmila BARTASHEVSKAYA","raw_affiliation_strings":["\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb"],"raw_orcid":"https://orcid.org/0000-0002-7825-5199","affiliations":[{"raw_affiliation_string":"\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0414\u043d\u0456\u043f\u0440\u043e\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb","institution_ids":["https://openalex.org/I64712228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I64712228"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"3","first_page":"112","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.6664999723434448,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.6664999723434448,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10244","display_name":"Chaos control and synchronization","score":0.20090000331401825,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.09059999883174896,"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":[],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7560999989509583},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7150999903678894},{"id":"https://openalex.org/C167183279","wikidata":"https://www.wikidata.org/wiki/Q1243208","display_name":"Double pendulum","level":4,"score":0.6812999844551086},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6001999974250793},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.5921000242233276},{"id":"https://openalex.org/C152442685","wikidata":"https://www.wikidata.org/wiki/Q4286430","display_name":"Kapitza's pendulum","level":5,"score":0.5827999711036682},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5302000045776367},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48350000381469727},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.41530001163482666},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.37619999051094055},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.3465000092983246},{"id":"https://openalex.org/C90738871","wikidata":"https://www.wikidata.org/wiki/Q41642869","display_name":"Configuration space","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.3384000062942505},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C207219937","wikidata":"https://www.wikidata.org/wiki/Q5072841","display_name":"Chaotic hysteresis","level":5,"score":0.2919999957084656},{"id":"https://openalex.org/C117626034","wikidata":"https://www.wikidata.org/wiki/Q26336","display_name":"Electrostatics","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C35048267","wikidata":"https://www.wikidata.org/wiki/Q587553","display_name":"Charged particle","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.32782/it/2026-3-12","doi":"https://doi.org/10.32782/it/2026-3-12","is_oa":true,"landing_page_url":"https://doi.org/10.32782/it/2026-3-12","pdf_url":null,"source":{"id":"https://openalex.org/S4387283121","display_name":"Information Technology Computer Science Software Engineering and Cyber Security","issn_l":"2786-507X","issn":["2786-507X","2786-5088"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4327874098","host_organization_name":"Publishing House Helvetica","host_organization_lineage":["https://openalex.org/P4327874098"],"host_organization_lineage_names":["Publishing House Helvetica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology: Computer Science, Software Engineering and Cyber Security","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.32782/it/2026-3-12","doi":"https://doi.org/10.32782/it/2026-3-12","is_oa":true,"landing_page_url":"https://doi.org/10.32782/it/2026-3-12","pdf_url":null,"source":{"id":"https://openalex.org/S4387283121","display_name":"Information Technology Computer Science Software Engineering and Cyber Security","issn_l":"2786-507X","issn":["2786-507X","2786-5088"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4327874098","host_organization_name":"Publishing House Helvetica","host_organization_lineage":["https://openalex.org/P4327874098"],"host_organization_lineage_names":["Publishing House Helvetica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Technology: Computer Science, Software Engineering and Cyber Security","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1969449134","https://openalex.org/W1989168018","https://openalex.org/W2000907661","https://openalex.org/W2007201084","https://openalex.org/W2064847798","https://openalex.org/W2089725908","https://openalex.org/W3157883211","https://openalex.org/W4394861391"],"related_works":[],"abstract_inverted_index":{"We":[0,26,97,172],"study":[1],"the":[2,5,28,34,50,57,78,82,86,90,95,101,109,130,136,141,148,153,169,174,177,180,190],"dynamics":[3],"of":[4,31,33,39,49,89,161,168,179,189],"planar":[6],"double":[7,133],"pendulum":[8,58,102],"with":[9,20,126],"electric":[10],"charges":[11,18,92,137,154,195],"attached":[12,93],"to":[13,94],"its":[14],"point":[15],"masses.":[16],"These":[17,122],"interact":[19],"a":[21,73,187],"uniform":[22],"external":[23],"electrostatic":[24,170],"field.":[25],"derive":[27,43],"Hamilton":[29],"equations":[30],"motion":[32,103],"system.":[35],"Using":[36],"numerical":[37],"integration":[38],"these":[40],"equations,":[41],"we":[42],"two-":[44],"and":[45,53,62,84],"three-dimensional":[46],"Poincar\u00e9":[47],"sections":[48],"phase":[51],"space":[52],"examine":[54],"scenarios":[55],"when":[56,152],"switches":[59],"between":[60],"regular":[61,106],"chaotic":[63,114,159],"motion.":[64],"It":[65],"is":[66,104,116],"shown":[67],"in":[68,81,108],"this":[69],"paper":[70],"that":[71,100,176],"such":[72],"transition":[74],"depends":[75],"both":[76,107],"on":[77,85],"interaction":[79,191],"strength":[80,192],"system":[83],"relative":[87],"sign":[88],"two":[91],"pendulum.":[96,134],"find":[98],"out":[99],"nearly":[105],"weakand":[110],"strong-field":[111],"scenarios,":[112],"while":[113],"behaviour":[115],"present":[117],"at":[118,165],"intermediate":[119],"coupling":[120],"strengths.":[121],"results":[123],"are":[124,144],"consistent":[125],"those":[127],"known":[128],"for":[129,193,197],"gravitationally":[131],"driven":[132],"When":[135],"have":[138,155],"like":[139],"signs,":[140,157],"invariant":[142,182],"tori":[143,183],"largely":[145],"restored":[146],"as":[147,186],"field":[149],"grows":[150],"stronger;":[151],"opposite":[156],"however,":[158],"mixing":[160],"trajectories":[162],"persists":[163],"even":[164],"high":[166],"values":[167],"coupling.":[171],"propose":[173],"hypothesis":[175],"measure":[178],"surviving":[181],"decreases":[184],"faster":[185],"function":[188],"oppositesigned":[194],"than":[196],"like-signed":[198],"charges.":[199]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}
