Department of Physics and the Beijing-HongKong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China
Abstract Dynamical behaviours of the motion of particles in a periodic potential under a constant driving velocity by a spring at one end are explored. In the stationary case, the stable equilibrium position of the particle experiences an elasticity instability transition. When the driving velocity is nonzero, depending on the elasticity coefficient and the pulling velocity, the system exhibits complicated and interesting dynamics, such as periodic and chaotic motions. The results obtained here may shed light on studies of dynamical processes in sliding friction.
Received: 24 December 2005
Revised: 06 April 2006
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported in part by the National Natural Science Foundation of China (Grant Nos
70431002 and 10575010), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200120), and the Teaching and Research Award Pro
Cite this article:
Yuan Xiao-Ping (袁晓平), Chen Hong-Bin (陈宏斌), Zheng Zhi-Gang (郑志刚) Nonlinear dynamics in sliding processes:the single-particle case 2006 Chinese Physics 15 1464
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