{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T01:05:14Z","timestamp":1772327114575,"version":"3.50.1"},"reference-count":48,"publisher":"AIP Publishing","issue":"4","funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["Pest-OE\/UID\/FIS\/50010\/2013"],"award-info":[{"award-number":["Pest-OE\/UID\/FIS\/50010\/2013"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2018,4,1]]},"abstract":"<jats:p>General scenarios of transitions between different spot patterns on electrodes of DC gas discharges and their relation to bifurcations of steady-state solutions are analyzed. In the case of cathodes of arc discharges, it is shown that any transition between different modes of current transfer is related to a bifurcation of steady-state solutions. In particular, transitions between diffuse and spot modes on axially symmetric cathodes, frequently observed in the experiment, represent an indication of the presence of pitchfork or fold bifurcations of steady-state solutions. Experimental observations of transitions on cathodes of DC glow microdischarges are analyzed and those potentially related to bifurcations of steady-state solutions are identified. The relevant bifurcations are investigated numerically and the computed patterns are found to conform to those observed in the course of the corresponding transitions in the experiment.<\/jats:p>","DOI":"10.1063\/1.5024383","type":"journal-article","created":{"date-parts":[[2018,4,30]],"date-time":"2018-04-30T15:13:24Z","timestamp":1525101204000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":5,"title":["Bifurcations in the theory of current transfer to cathodes of DC discharges and observations of transitions between different modes"],"prefix":"10.1063","volume":"25","author":[{"given":"M. S.","family":"Bieniek","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Faculdade de Ci\u00eancias Exatas e da Engenharia, Universidade da Madeira, Largo do Munic\u00edpio , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"},{"name":"Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2377-766X","authenticated-orcid":false,"given":"D. F. N.","family":"Santos","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Faculdade de Ci\u00eancias Exatas e da Engenharia, Universidade da Madeira, Largo do Munic\u00edpio , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"},{"name":"Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"}]},{"given":"P. G. C.","family":"Almeida","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Faculdade de Ci\u00eancias Exatas e da Engenharia, Universidade da Madeira, Largo do Munic\u00edpio , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"},{"name":"Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa , 9000 Funchal, Portugal and , 1041 Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9059-1948","authenticated-orcid":false,"given":"M. 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