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慢快光机械系统中共存的吸引子与混沌鸭式爆发现象

Coexisting attractors and chaotic canard explosions in a slow-fast optomechanical system.

作者信息

Marino Francesco, Marin Francesco

机构信息

CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052906. doi: 10.1103/PhysRevE.87.052906. Epub 2013 May 10.

Abstract

The multiple time scale dynamics induced by radiation pressure and photothermal effects in a high-finesse optomechanical resonator is experimentally studied. At difference with two-dimensional slow-fast systems, the transition from the quasiharmonic to the relaxational regime occurs via chaotic canard explosions, where large-amplitude relaxation spikes are separated by an irregular number of subthreshold oscillations. We also show that this regime coexists with other periodic attractors, on which the trajectories evolve on a substantially faster time scale. The experimental results are reproduced and analyzed by means of a detailed physical model of our system.

摘要

对高精细度光机械谐振器中由辐射压力和光热效应引起的多时间尺度动力学进行了实验研究。与二维快慢系统不同,从准谐波状态到弛豫状态的转变是通过混沌鸭式爆发现象发生的,其中大振幅弛豫尖峰被不规则数量的亚阈值振荡隔开。我们还表明,这种状态与其他周期吸引子共存,在这些吸引子上,轨迹在实质上更快的时间尺度上演变。通过我们系统的详细物理模型对实验结果进行了再现和分析。

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