{"id":"W2036807344","doi":"10.1007/s00332-014-9206-9","title":"Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction–Diffusion Systems in $${\\mathbb {R}}^2$$ R 2","year":2014,"lang":"en","type":"article","venue":"Journal of Nonlinear Science","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia; Dalhousie University","funders":"","keywords":"Lattice (music); Eigenvalues and eigenvectors; Reaction–diffusion system; Mathematical physics; Mathematical analysis; Mathematics; Combinatorics; Physics; Quantum mechanics","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":[],"consensus_categories":[],"category_scores_codex":[0.004207813,0.00008005935,0.0002930442,0.0002364419,0.00009996756,0.00006826472,0.0006566583,0.00003684953,7.438091e-7],"category_scores_gemma":[0.0003212125,0.00004976958,0.00007463876,0.0003724562,0.000298955,0.0005438068,0.0001319383,0.0001351076,2.643498e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004445011,"about_ca_system_score_gemma":0.0001847926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001335647,"about_ca_topic_score_gemma":0.00002665778,"domain_scores_codex":[0.9984297,0.0001186164,0.000690886,0.000143878,0.0004691363,0.0001477855],"domain_scores_gemma":[0.9981623,0.0002957747,0.0007008538,0.0002996412,0.0004769075,0.00006451742],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001972271,0.002837158,0.21221,0.0028274,0.00009886073,0.0000164681,0.03772661,0.01061757,0.3891573,0.08102899,0.00003652355,0.2614709],"study_design_scores_gemma":[0.001663073,0.0001939255,0.0273007,0.0001905374,0.000007830285,0.00005724113,0.0002591544,0.9680662,0.001604741,0.0004072769,0.0001848004,0.00006453772],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7645203,0.00004840911,0.234669,0.000279544,0.000285879,0.0001708737,0.000008422266,0.000002859417,0.00001473661],"genre_scores_gemma":[0.9848942,0.00005294915,0.01496842,0.00003079321,0.00004481913,0.000002107401,6.669973e-7,0.000003041142,0.000003068231],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9574486,"threshold_uncertainty_score":0.2029544,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01477982420182347,"score_gpt":0.2554765263739625,"score_spread":0.240696702172139,"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."}}