物理学报
物理學報
물이학보
2013年
4期
9-15
,共7页
张惠%褚衍东%丁旺才%李险峰
張惠%褚衍東%丁旺纔%李險峰
장혜%저연동%정왕재%리험봉
离散混沌系统%对称性破缺%倍周期%分岔控制
離散混沌繫統%對稱性破缺%倍週期%分岔控製
리산혼돈계통%대칭성파결%배주기%분차공제
discrete chaotic system%symmetry-breaking%period-doubling%bifurcation control
通过分析对称性破缺分岔机制,采用了一个直接的、有效的线性控制器,精确控制了一类三次方对称离散混沌系统发生对称性破缺分岔和倍周期分岔时分岔点的位置.进而分析了系统对初始值的敏感性和对称性,选择合适的吸引域,将对称性破缺分岔进行进一步控制,从而使得对称性破缺分岔所缺解枝得以恢复.数值结果表明了该控制器的有效性.
通過分析對稱性破缺分岔機製,採用瞭一箇直接的、有效的線性控製器,精確控製瞭一類三次方對稱離散混沌繫統髮生對稱性破缺分岔和倍週期分岔時分岔點的位置.進而分析瞭繫統對初始值的敏感性和對稱性,選擇閤適的吸引域,將對稱性破缺分岔進行進一步控製,從而使得對稱性破缺分岔所缺解枝得以恢複.數值結果錶明瞭該控製器的有效性.
통과분석대칭성파결분차궤제,채용료일개직접적、유효적선성공제기,정학공제료일류삼차방대칭리산혼돈계통발생대칭성파결분차화배주기분차시분차점적위치.진이분석료계통대초시치적민감성화대칭성,선택합괄적흡인역,장대칭성파결분차진행진일보공제,종이사득대칭성파결분차소결해지득이회복.수치결과표명료해공제기적유효성.
A direct and effective linear-controller is employed to exactly control the locations of bifurcation points, both the symmetry-breaking bifurcation and the period-doubling bifurcation, in a cubic symmetry discrete system. Moreover, both the sensibility and the symmetry to the initial values of the system are analyzed. The lack of the solution branches due to the symmetry-breaking bifurcation can be reinstated temporarily by selecting the corresponding basins of attraction. The effectiveness of the controller is verified by numerical simulations.
