{"paper":{"title":"An Effective Scaling Framework for Non-Adiabatic Mode Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A nonlinear frequency regulator saturates non-adiabatic parametric amplification and bounds mode excitations in driven systems.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A.M.Tishin","submitted_at":"2026-05-13T11:33:52Z","abstract_excerpt":"This study proposes an effective theoretical framework for non-adiabatic parametric excitation in structured media, incorporating a nonlinear frequency regulator U as a stabilizing mechanism. We introduce the non-adiabaticity parameter as a time-local diagnostic for driven non-stationary systems and analyze its competition with nonlinear spectral detuning through the scaling ratio. The principal physical result is that strongly nonlinear oscillatory systems can exhibit saturation of non-adiabatic parametric amplification: when the nonlinear regulator becomes sufficiently strong, exponential mo"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"strongly nonlinear oscillatory systems can exhibit saturation of non-adiabatic parametric amplification: when the nonlinear regulator becomes sufficiently strong, exponential mode growth is dynamically suppressed and the excitation evolves toward a bounded low-occupancy regime","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The nonlinear frequency regulator U functions as an effective stabilizing mechanism that competes with non-adiabatic driving without introducing additional instabilities or requiring material-specific details beyond the model assumptions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Strongly nonlinear oscillatory systems saturate non-adiabatic parametric amplification, evolving to bounded low-occupancy regimes via spectral blockade when the nonlinear regulator is strong enough.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A nonlinear frequency regulator saturates non-adiabatic parametric amplification and bounds mode excitations in driven systems.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4fd4afe9385a4ba68ee037adee71aabc2dc38995406af03b416f9cb890a4a71b"},"source":{"id":"2605.13376","kind":"arxiv","version":1},"verdict":{"id":"723d71b0-4300-4aab-982a-54ce35a8ecf1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:23:21.006925Z","strongest_claim":"strongly nonlinear oscillatory systems can exhibit saturation of non-adiabatic parametric amplification: when the nonlinear regulator becomes sufficiently strong, exponential mode growth is dynamically suppressed and the excitation evolves toward a bounded low-occupancy regime","one_line_summary":"Strongly nonlinear oscillatory systems saturate non-adiabatic parametric amplification, evolving to bounded low-occupancy regimes via spectral blockade when the nonlinear regulator is strong enough.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The nonlinear frequency regulator U functions as an effective stabilizing mechanism that competes with non-adiabatic driving without introducing additional instabilities or requiring material-specific details beyond the model assumptions.","pith_extraction_headline":"A nonlinear frequency regulator saturates non-adiabatic parametric amplification and bounds mode excitations in driven systems."},"references":{"count":28,"sample":[{"doi":"10.1007/bf02745585","year":1958,"title":"Bogoliubov, N. 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