Necessary and sufficient conditions for Lipschitz ergodicity and generalized ergodicity
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  • 作者：ZuoHuan Zheng (14489)
  • 关键词：Lipschitz ergodicity ; generalized ergodicity ; dual invariant set ; continuation region ; 惟 ; expansive set ; 37A20 ; 37E45 ; 37H05 ; 47E05 ; 81Q10
  • 刊名：SCIENCE CHINA Mathematics
  • 出版年：2013
  • 出版时间：April 2013
  • 年：2013
  • 卷：56
  • 期：4
  • 页码：777-787
  • 全文大小：245KB
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    6. Walters P. An Introduction to Ergodic Theory. New York: Springer-Verlag, 1982 CrossRef
    7. Wang H F, Yu S X. Qualitative Theory of Ordinary Differential Equations. Guangzhou: Guangdong Higher Education Publishing House, 1996
    8. Yu S X. On dynamical systems with an integral invariant on the torus. J Differential Equations, 1984, 53: 277鈥?87 CrossRef
    9. Zheng Z H. Chain transitivity and Lipschitz ergodicity. Nonlinear Anal, 1998, 34: 733鈥?44 CrossRef
    10. Zheng Z H. Generalized ergodicity. Sci China Ser A, 2001, 44: 1098鈥?106 CrossRef
  • 作者单位：ZuoHuan Zheng (14489)

    14489. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
  • ISSN：1869-1862
文摘
In this paper, the Lipschitz ergodicity and generalized ergodicity are studied. Some criterions for a system to be Lipschitz ergodic or generalized ergodic are given.
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