Estimating the Ultimate Bounds and Positively Invariant Sets for a Class of General Lorenz-type New Chaotic Systems
To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. In this paper, we attempt to investigate the ultimate bounds and positively invariant sets for a class of more general Lorenz-type new chaotic systems. We derive some ellipsoidal estimates of the globally exponentially attractive set and positively invariant set of the general Lorenz-type new system for all the positive values of its parameters via the generalized Lyapunov function theory. Furthermore, the estimations derived here contain the results given in as special cases and can lead to a series of new estimations.
Zhengwen Tu Jigui Jian
Institute of Nonlinear and Complex System China Three Gorges University Yichang, Hubei, 443002, China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
225-228
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）