Abstract
Given the equations of motion of a system of particles, it is always possible to find a small time-dependent perturbation such that most solutions escape to infinity. The unperturbed system is autonomous and has no dissipation.
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Ortega, R. Unbounded motions in forced Newtonian equations. Annali di Matematica 185 (Suppl 5), S245–S257 (2006). https://doi.org/10.1007/s10231-004-0144-2
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DOI: https://doi.org/10.1007/s10231-004-0144-2