摘要
Fractal erosion of the safe basin in a Helmholtz oscillator system is studied.A linear delayed velocity feedback is employed to suppress the fractal erosion.The necessary basin erosion condition of the delayed feedback controlled system is obtained.The evolution of the boundary and area of the safe basin over time delay is also presented.It follows that the delayed velocity feedback can be used as an effective strategy to control fractal erosion of a safe basin.
作者
SHANG Hui-Lin
WEN Yong-Peng
尚慧琳;文永蓬(School of Mechanical Engineering,Shanghai Institute of Technology,Shanghai 200235;College of Urban Railway Transportation,Shanghai University of Engineering Science,Shanghai 201620)
基金
by the Young Scientists Fund of the National Natural Science Foundation of China under Grant No 10902071,“Chen Guang”Project of Shanghai Municipal Education Commission under Grant No 11CG61,Fund of Science and Technology of Shanghai Institute of Technology under Grant No KJ2011-06,the State Key Program of the National Natural Science of China under Grant No 11032009,and Shanghai Leading Academic Discipline Project under Grant No J51501.
