Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants

Abstract The status of classical stability in higher-derivative 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 property are Nekhoroshev’s estimates relying on the actio...

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Bibliographic Details
Main Authors: Nicolas Boulanger, Fabien Buisseret, Frédéric Dierick, Olivier White
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6569-y