Title

Stability Of Coupled Oscillators Using Frenkel-Kontorova Model

Abstract

We study the stability of coupled oscillators motivated by the Frenkel-Kontorova (FK) model. The FK model describes a chain of classical particles coupled to their neighbors and subject to a periodic on-site potential. The open-loop system of the FK model represents interconnected oscillators that have locally stable or unstable equilibrium points. We reveal the stability of the coupled system in the presence of linear and nonlinear particle interactions, respectively, and verify the results by numerical simulations. The result applies to physical systems such as atomic-scale friction whose dynamics is described by the FK model. © 2009 IEEE.

Publication Date

12-1-2009

Publication Title

2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009

Number of Pages

1001-1006

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/ROBIO.2009.5420744

Socpus ID

77951495554 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77951495554

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