{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1374"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1374","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"Nonlinear dynamics of a particle in an electric and magnetic field","abstract":"This work involves the computational study of a charged particle (electron) in the field of a heavy particle (proton) and an applied constant magnetic field. When either the magnetic field or the central field of the proton are \"switched off\", closed analytic solutions for the classical dynamics exist. However, when both fields are present, only approximate analytic solutions are available. For a weak, applied magnetic field perturbation theory may be used to construct the approximate solutions, but these solutions break down in the high field regime. To study the behavior of such an atom in this region we perform numerical studies of the classical dynamics. The nonlinear terms in the equations of motion induce chaotic motions, and such effects will be explored in detail.","abstract_html":"This work involves the computational study of a charged particle (electron) in the field of a heavy particle (proton) and an applied constant magnetic field. When either the magnetic field or the central field of the proton are "switched off", closed analytic solutions for the classical dynamics exist. However, when both fields are present, only approximate analytic solutions are available. For a weak, applied magnetic field perturbation theory may be used to construct the approximate solutions, but these solutions break down in the high field regime. To study the behavior of such an atom in this region we perform numerical studies of the classical dynamics. The nonlinear terms in the equations of motion induce chaotic motions, and such effects will be explored in detail.","abstract_has_math":false,"creators":["Doyle, Sean James"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1994,"date_issued":"1994-01-01T08:00:00Z","date_published":"1994-01-01T08:00:00Z","updated_at":"2026-07-24T05:24:22Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["https://oasis.library.unlv.edu/rtds/375"],"render_values":[{"text":"https://oasis.library.unlv.edu/rtds/375","href":"https://oasis.library.unlv.edu/rtds/375","code":true}]}]},"links":{"outbound_url":"https://doi.org/10.25669/yl5v-8oac","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Doyle, Sean James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["University of Nevada, Las Vegas"]},{"key":"dc:type","label":"Dc Type","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["IN COPYRIGHT. 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For a weak, applied magnetic field perturbation theory may be used to construct the approximate solutions, but these solutions break down in the high field regime. To study the behavior of such an atom in this region we perform numerical studies of the classical dynamics. The nonlinear terms in the equations of motion induce chaotic motions, and such effects will be explored in detail."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["Nonlinear dynamics of a particle in an electric and magnetic field"]}]}],"canonical_facts":{"dc:creator":["Doyle, Sean James"],"dc:description.abstract":["This work involves the computational study of a charged particle (electron) in the field of a heavy particle (proton) and an applied constant magnetic field. When either the magnetic field or the central field of the proton are \"switched off\", closed analytic solutions for the classical dynamics exist. However, when both fields are present, only approximate analytic solutions are available. For a weak, applied magnetic field perturbation theory may be used to construct the approximate solutions, but these solutions break down in the high field regime. To study the behavior of such an atom in this region we perform numerical studies of the classical dynamics. The nonlinear terms in the equations of motion induce chaotic motions, and such effects will be explored in detail."],"dc:format":["pdf"],"dc:identifier":["10.25669/yl5v-8oac","https://oasis.library.unlv.edu/rtds/375","https://oasis.library.unlv.edu/context/rtds/article/1374/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Nonlinear dynamics of a particle in an electric and magnetic field"],"dc:type":["Text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T05:24:22Z"}