Stability of Coupled Oscillators using Frenkel-Kontorova Model

摘要：

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.

作者: Yi Guo Zhihua Qu

作者单位: Department of Electrical and Computer Engineering,Stevens Institute of Technology,Hoboken,NJ 07030 School of Electrical Engineering and Computer Science,University of Central Florida,Orlando,Florida

会议类型: 国际会议

会议名称: 2009 IEEE International Conference on Robotics and Biomimetics(2009 IEEE 机器人与仿生技术国际会议 ROBIO 2009)

会议地点: 桂林

会议语种:英文

页码: 1001-1006

在线出版日期: 2009-12-19（万方平台首次上网日期，不代表论文的发表时间）