2026/05/13 by A. M. Tishin, A.M. Tishin · 1 citation
Engineering · Physics and Astronomy · #Bladed Disk Vibration Dynamics #Control theory (sociology) #Dynamics (music) #Mode (computer interface) #Quantum chaos and dynamical systems #Scale (ratio) #Scaling #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.1016/j.chaos.2026.118839
published in Chaos Solitons & Fractals 211, 118839 (Elsevier BV)
openalex publication_date 2026/07/23 · openalex created_date 2026/07/24 · openalex updated_date 2026/08/05
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 mode growth is dynamically suppressed and the excitation evolves toward a bounded low-occupancy regime. Using numerical verification in an expanded 100-level bosonic Fock basis, we demonstrate a crossover from hyperbolic amplification dynamics toward an effectively bounded response associated with spectral blockade and suppression of higher-order mode occupation. These results suggest that nonlinear spectral stabilization may represent a general mechanism for finite-amplitude non-adiabatic dynamics in driven structured media.