Open AccessTHE INFLUENCE OF WEAK PARAMETRIC PERIODIC PERTURBATION ON SAFE BASIN AND THE CONTROL OF THE FRACTAL EROSION BASIN
Author(s) -
Gong Pu-Lin,
Jianxue Xu,
Zhengce Sun
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.841
Subject(s) - structural basin , fractal , perturbation (astronomy) , erosion , parametric statistics , statistical physics , geology , physics , mathematical analysis , mathematics , geomorphology , statistics , quantum mechanics
In this paper,the influence of weak parameter periodic perturbation on the safe basin of a nonlinear oscillator is studied.The results show that the fractal erosion of the safe basin is enhanced when the system is perturbed by the periodic signal at some definite frequencies.On the other hand,the fractal erosion basin is suppressed by the periodic perturbation at other frequencies,for this case there exists an optimal perturbation frequency.Furthermore,based on the obtained results,a method used to control the fractal erosion basin is presented.Melnikov's method is used to interpret this control method,and the robustness of the control of the fractal erosion basin is also discussed.