{"id":"W2000769708","doi":"10.1109/mwscas.2014.6908463","title":"Novel dissipative Lagrange-Hamilton formalism for LC/van der pol oscillator with new implication on phase noise dependency on quality factor","year":2014,"lang":"en","type":"article","venue":"","topic":"Advancements in PLL and VCO Technologies","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Dissipative system; Hamiltonian (control theory); Van der Pol oscillator; Formalism (music); Phase noise; Dependency (UML); Mathematics; Physics; Statistical physics; Applied mathematics; Computer science; Quantum mechanics; Mathematical optimization; Artificial intelligence; Nonlinear system","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003036752,0.0003689595,0.0003542326,0.0003488383,0.0004389355,0.0006233978,0.000809916,0.0005499914,0.003309059],"category_scores_gemma":[0.0003359402,0.0001991326,0.0004316842,0.0003939365,0.0008190001,0.0009152082,0.0005779793,0.000837813,0.0005158608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005792099,"about_ca_system_score_gemma":0.0007680316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00129634,"about_ca_topic_score_gemma":0.001953372,"domain_scores_codex":[0.9998631,0.00003558171,0.00000663349,0.00002196277,0.00005868593,0.00001393203],"domain_scores_gemma":[0.9999359,0.00001692517,0.00001021191,0.00001010927,0.0000182041,0.000008663519],"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":[0.00001418494,0.00001881003,0.0002095348,0.00008442088,0.00001347776,0.0001390817,0.0001222654,0.02647174,0.01253688,0.9457741,0.001046785,0.01356858],"study_design_scores_gemma":[0.0000288742,0.00008517737,0.0002586132,0.0000322737,0.00001749796,0.0002926838,0.00007159312,0.6707579,0.00348399,0.3106908,0.01424038,0.00004014555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00947357,0.0006591324,0.9740748,0.0003383933,0.0001492633,0.00004699131,0.00007937619,0.00006405444,0.01511427],"genre_scores_gemma":[0.5033408,0.001929674,0.4582401,0.0004241633,0.000268178,0.0003155081,0.0001622896,0.0002246779,0.03509472],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003309059,"threshold_uncertainty_score":0.01106995,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03708442248398109,"score_gpt":0.3287267515110436,"score_spread":0.2916423290270625,"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."}}