{"id":"W3111749679","doi":"10.1016/j.aim.2022.108234","title":"Global dynamics in nonconservative nonlinear Schrödinger equations","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Zero (linguistics); Manifold (fluid mechanics); Nonlinear system; Flow (mathematics); Center manifold; Quadratic equation; Limiting; Mathematical analysis; Stable manifold; Heteroclinic orbit; Convergence (economics); Invariant manifold; Applied mathematics; Homoclinic orbit; Physics; Geometry; Bifurcation","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009477769,0.0003499056,0.000671368,0.0002027934,0.0001901193,0.0000289791,0.0006387334,0.00007179906,0.0002046267],"category_scores_gemma":[0.001581576,0.0003704134,0.0001138454,0.00168873,0.0001527128,0.0006373732,0.0005157729,0.0005591879,0.0000301588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001805764,"about_ca_system_score_gemma":0.0001170798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001257449,"about_ca_topic_score_gemma":0.0006352833,"domain_scores_codex":[0.9969854,0.0001429816,0.001117517,0.0004608742,0.000696055,0.000597131],"domain_scores_gemma":[0.9964285,0.002295952,0.0004496678,0.0006559484,0.00008597466,0.0000839077],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001484445,0.001223932,0.00112359,0.000343207,0.00001285564,0.00002948309,0.001070656,0.008983378,0.00001018188,0.9854732,0.00004540263,0.001669268],"study_design_scores_gemma":[0.0006411182,0.0000561961,0.00002025833,0.0001120747,0.00001462576,0.0000126656,0.003274326,0.1782629,0.00001469485,0.8168608,0.0004076899,0.0003226837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.101447,0.001116531,0.7779077,0.00121157,0.0007077116,0.003297988,0.0004747305,0.0005210165,0.1133157],"genre_scores_gemma":[0.3075154,0.0000798326,0.6906895,0.0002005394,0.00005560412,0.0008085041,0.0000455526,0.0001072479,0.0004978221],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2060684,"threshold_uncertainty_score":0.9998748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03439403898623176,"score_gpt":0.3578429205257508,"score_spread":0.323448881539519,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}