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

Francesco Marino1 and Francesco Marin2

  • 1CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
  • 2Dipartimento di Fisica e Astronomia, Università di Firenze, INFN Sezione di Firenze, and LENS, Via Sansone 1, I-50019 Sesto Fiorentino (FI), Italy

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Phys. Rev. E 87, 052906 – Published 10 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052906

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.

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Phys. Rev. E 87, 052906– Published 10 May, 2013
  • Received 11 January 2013

©2013 American Physical Society

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