【摘要】 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.更多还原

【Abstract】 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.更多还原