{"paper":{"title":"Period doubling bifurcation and high-order resonances in RR Lyrae hydrodynamical models","arxiv_id":"1102.0157","primary_cat":"astro-ph.SR","submitted_at":"2011-02-01T13:43:50+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.97,"id":"s0","own":true,"role":"contribution","text":"We investigated period doubling, a well-known phenomenon in dynamical systems, for the first time in RR Lyrae models.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.03,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.97,"interpretation":0.0}},{"i":1,"p":0.66,"id":"s1","own":false,"role":"background","text":"These studies provide theoretical background for the recent discovery of period doubling in some Blazhko RR Lyrae stars with the Kepler space telescope.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.11,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.66,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.31}},{"i":2,"p":0.58,"id":"s2","own":false,"role":"background","text":"Since period doubling was observed only in Blazhko-modulated stars so far, the phenomenon can help in the understanding of the modulation as well.","hedge":{"p":0.88,"label":"hedged_possibility"},"own_p":0.07,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.02,"method":0.0,"result":0.0,"background":0.58,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.4}},{"i":3,"p":0.65,"id":"s3","own":true,"role":"method","text":"Utilising the Florida-Budapest turbulent convective hydrodynamical code, we identified the phenomenon in radiative and convective models as well.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.65,"result":0.19,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.16,"interpretation":0.0}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"A period-doubling cascade was also followed up to an eight-period solution confirming that the destabilisation of the limit cycle is indeed the underlying phenomenon.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.94,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.01}},{"i":5,"p":0.98,"id":"s5","own":true,"role":"method","text":"Floquet stability roots were calculated to investigate the possible causes and occurrences of the phenomenon.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.94,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.98,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":6,"p":0.91,"id":"s6","own":true,"role":"method","text":"A two-dimensional diagnostic diagram was constructed to display the various resonances between the fundamental mode and the different overtones.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.72,"role_probabilities":{"gap":0.0,"method":0.91,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.09,"interpretation":0.0}},{"i":7,"p":0.99,"id":"s7","own":true,"role":"result","text":"Combining the two tools, we confirmed that the period-doubling instability is caused by a 9:2 resonance between the 9th overtone and the fundamental mode.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.67,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":8,"p":0.92,"id":"s8","own":true,"role":"interpretation","text":"Destabilisation of the limit cycle by a resonance of a high-order mode is possible because the overtone is a strange mode.","hedge":{"p":0.79,"label":"hedged_possibility"},"own_p":0.6,"main_claim_p":0.14,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.08,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.92}},{"i":9,"p":1.0,"id":"s9","own":true,"role":"result","text":"The resonance is found to be sufficiently strong enough to shift the period of overtone with up to 10 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