论文标题

部分可观测时空混沌系统的无模型预测

Conformal symmetry in damped Pais-Uhlenbeck oscillator

论文作者

Masterov, Ivan

论文摘要

Bateman引入了两种用于描述阻尼谐波振荡器的拉格朗日配方。对于这些模型,我们构建了较高的衍生概括,该概括享有L-符合牛顿 - 霍克对称性的较高的概括。广义系统的动力学对应于阻尼的Pais-uhlenbeck振荡器,以特定选择其频率。

Two Lagrangian formulations for describing of the damped harmonic oscillator have been introduced by Bateman. For these models we construct higher derivative generalization which enjoys the l-conformal Newton-Hooke symmetry. The dynamics of generalized systems corresponds to the damped Pais-Uhlenbeck oscillator for a particular choice of its frequencies.

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