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Discrete intrinsic localized modes in a microelectromechanical resonator

2016/10/05 by Adarsh Ganesan, Ganesan, Adarsh, Cuong Do +3 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1610.01370

openalex publication_date 2016/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Intrinsic Localized Modes (ILMs) or Discrete Breathers (DBs) are produced through a non-linear vibration localization phenomenon. While Anderson localization is due to lattice defects, the nonlinearity of lattices provides the basis for ILM excitation. Over the past two decades, these ILMs have been realized in a wide range of physical systems including photonic crystals, nonlinear atomic lattices, anti-ferromagnets, coupled Josephson junction arrays and coupled cantilevers. This paper brings out the feasibility of exciting ILMs in a standalone mechanical resonator. Through piezoelectric driving and optical visualization, various intriguing features of ILMs have been recorded. The ILMs in our system are observed as spectral bushes and their frequencies are much lower than that of the drive frequency. The excitation of ILMs is mediated through large amplitude instability following autoparametric excitation of a sub-harmonic mode. The spatial prevalence of discrete ILM excitations is at antinodes of the sub-harmonic mode. Further, the ILMs have been observed to be time-variant and various events including attraction-repulsion (or splitting-merging) of ILMs and hopping occur during the time evolution of ILMs.

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