Dynamic stability in periodically driven linear systems requires stability only over discrete short time windows within each period, selected by quantum-mechanical-like rules, demonstrated on a mass-spring system and applied to trapping an inverted compass in a time-varying magnetic field.
Lazarus, Discrete dynamical stabilization of a natu- rally diverging mass in a harmonically time-varying po- tential, Physica D: Nonlinear Phenomena 386, 1 (2019)
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Optimal dynamical stabilization
Dynamic stability in periodically driven linear systems requires stability only over discrete short time windows within each period, selected by quantum-mechanical-like rules, demonstrated on a mass-spring system and applied to trapping an inverted compass in a time-varying magnetic field.