Stability of coupled oscillators using Frenkel-Kontorova model

Yi Guo, Zhihua Qu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009
Pages1001-1006
Number of pages6
DOIs
StatePublished - 2009
Event2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009 - Guilin, China
Duration: 19 Dec 200923 Dec 2009

Publication series

Name2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009

Conference

Conference2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009
Country/TerritoryChina
CityGuilin
Period19/12/0923/12/09

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