Parcourir Sciences Et Techniques par sujet "Higher derivatives, harmonic oscillator, classical mechanics"
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Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants
06 janvier 2019, CERISICArticle scientifiquehe status of classical stability in higher-deriv- ative systems is still subject to discussions. In this note, we argue that, contrary to general belief, many higher-derivative systems are classically stable. The main tool to see this prop- erty are Nekhoroshev’s estimates relying on the action-angle formulation of classical mechanics. The latter formulation can be reached provided the Hamiltonian ...