TY - GEN
T1 - Stability of coupled oscillators using Frenkel-Kontorova model
AU - Guo, Yi
AU - Qu, Zhihua
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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U2 - 10.1109/ROBIO.2009.5420744
DO - 10.1109/ROBIO.2009.5420744
M3 - Conference contribution
AN - SCOPUS:77951495554
SN - 9781424447756
T3 - 2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009
SP - 1001
EP - 1006
BT - 2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009
T2 - 2009 IEEE International Conference on Robotics and Biomimetics, ROBIO 2009
Y2 - 19 December 2009 through 23 December 2009
ER -