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math.DS2026
Maximal Multiplicity Method for Optimal Damping Problem
Maxim Arnold, Oleg Gendelman, Vadim Zharnitsky
We study the problem of designing optimal damping for a system of coupled linear oscillators. Using the Weyl--Horn theorem, we construct an explicit damping matrix that realize…
math.DS2026
Infinite Set of Resonances in the Linear Damped Oscillator Subject to Harmonic Forcing with Non-standard Frequency Modulation
Oleg V. Gendelman, Luis M. Baldelomar Pinto, Lawrence A. Bergman +1
It is shown that harmonic signals incorporating a type of weak non-standard frequency modulation (wNSFM) have interesting spectral properties, namely, time-dependent bandwidths tha…