Compressed elastic strips with modulated height alternate between quasi-periodic and periodic buckling modes via wave-number lock-in, forming a static analogue to parametric instabilities.
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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.
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Wave-number lock-in in buckled elastic structures: an analogue to parametric instabilities
Compressed elastic strips with modulated height alternate between quasi-periodic and periodic buckling modes via wave-number lock-in, forming a static analogue to parametric instabilities.
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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.