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.
Tr´ elat, Optimal control and applications to aerospace: some results and challenges, Journal of Optimization Theory and Applications 154, 713 (2012)
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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.