纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2012年
1期
113-118,136
,共7页
鞠培军%田力%孔宪明%张卫%刘国彩
鞠培軍%田力%孔憲明%張衛%劉國綵
국배군%전력%공헌명%장위%류국채
统一混沌系统%全局指数吸引集%广义Lypunov函数
統一混沌繫統%全跼指數吸引集%廣義Lypunov函數
통일혼돈계통%전국지수흡인집%엄의Lypunov함수
unified chaotic system%globally exponentiMly attractive set%generalized Lyapunov function
研究了参数α∈[1/29,14/173)时,统一混沌系统的全局指数吸引集问题.通过线性变换和广义Lyapunov函数方法,给出了系统最终上界的精确估计.所得结果发展和丰富了现有混沌系统吸引集的结果,并将在混沌控制和同步中得到广泛应用.
研究瞭參數α∈[1/29,14/173)時,統一混沌繫統的全跼指數吸引集問題.通過線性變換和廣義Lyapunov函數方法,給齣瞭繫統最終上界的精確估計.所得結果髮展和豐富瞭現有混沌繫統吸引集的結果,併將在混沌控製和同步中得到廣汎應用.
연구료삼수α∈[1/29,14/173)시,통일혼돈계통적전국지수흡인집문제.통과선성변환화엄의Lyapunov함수방법,급출료계통최종상계적정학고계.소득결과발전화봉부료현유혼돈계통흡인집적결과,병장재혼돈공제화동보중득도엄범응용.
The globally exponentially attractive set of a unified chaotic system with the parameter α∈ [1/29, 14/173) was discussed by using linear reformation and the generalized Lyapunov function, and the explicit estimations of the ultimate bound is derived. The established theorems in this paper develop and extend the existing achievements on attractive set of chaotic system. The obtained results will find wide application in chaos control and synchronization.