Delayed feedbacks to control the fractal erosion of safe basins in a parametrically excited system
作者： Huilin Shang , Jian Xu
DOI: 10.1016/J.CHAOS.2008.07.040
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摘要: Abstract Three types of delayed feedbacks, namely, the position feedback (DPF), velocity (DVF) and state (DSF), are proposed to control erosion safe basins in a parametrically excited system. The time delay gain feedbacks chosen as parameters. basin is measured by size nature basin. basin, fractal or smooth, investigated evaluating dimension. critical values parameters obtained for any points not be eroded. It concluded that can applied extent erosion. Moreover, comparison among effects three reveals DPF best strategy reduce at small gain, while DSF becomes when large.
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