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Hyperchaos appears with a sudden expansion of the attractor of the system at a critical parameter for each case and it coincides with triggering of occasional and recurrent large-intensity pulses. The transition to hyperchaos from a periodic orbit via Pomeau\u2013Manneville intermittency shows hysteresis at the critical point, while no hysteresis is recorded during the other two processes. The recurrent large-intensity pulses show characteristic features of extremes with their height larger than a threshold and the probability of a rare occurrence. The phenomenon is robust to weak noise although the critical parameter of transition to hyperchaos shifts with noise strength. This phenomenon appears as common in many low dimensional systems as reported earlier by Chowdhury et al. [Phys. Rep. 966, 1\u201352 (2022)], there the emergent large-intensity events or extreme events dynamics have been recognized simply as chaotic in nature although the temporal dynamics shows occasional large deviations from the original chaotic state in many examples. We need a new metric, in the future, that would be able to classify such significantly different dynamics and distinguish from chaos.<\/jats:p>","DOI":"10.1063\/5.0135228","type":"journal-article","created":{"date-parts":[[2023,2,16]],"date-time":"2023-02-16T11:01:10Z","timestamp":1676545270000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":26,"title":["Transition to hyperchaos and rare large-intensity pulses in Zeeman laser"],"prefix":"10.1063","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6418-5273","authenticated-orcid":false,"given":"S.","family":"Leo Kingston","sequence":"first","affiliation":[{"name":"Division of Dynamics, Lodz University of Technology 1 , 90-924 Lodz, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2144-6162","authenticated-orcid":false,"given":"Marek","family":"Balcerzak","sequence":"additional","affiliation":[{"name":"Division of Dynamics, Lodz University of Technology 1 , 90-924 Lodz, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4165-3852","authenticated-orcid":false,"given":"Syamal K.","family":"Dana","sequence":"additional","affiliation":[{"name":"Division of Dynamics, Lodz University of Technology 1 , 90-924 Lodz, Poland"},{"name":"Department of Mathematics, National Institute of Technology 2 , Durgapur 713209, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9651-752X","authenticated-orcid":false,"given":"Tomasz","family":"Kapitaniak","sequence":"additional","affiliation":[{"name":"Division of Dynamics, Lodz University of Technology 1 , 90-924 Lodz, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2023,2,16]]},"reference":[{"key":"2024031523431259400_c1","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/0375-9601(75)90353-9","article-title":"Analogy between higher instabilities in fluids and lasers","volume":"53","year":"1975","journal-title":"Phys. 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