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ON ω-LIMIT SETS AND ATTRACTION OF NON-AUTONOMOUS DISCRETE DYNAMICAL SYSTEMS

Bin Chen|Lei Liu
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회지 (Journal of the KMS)|제49권 제4호|pp. 703-713|DOI http://dx.doi.org/

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참고문헌

키워드

ω-limit setnon-autonomous discrete dynamical systemattrac-tionregular space.
주제분류수학

초록

In this paper we study ω-limit sets and attraction of non-autonomous discrete dynamical systems. We introduce some basic con-cepts such as ω-limit set and attraction for non-autonomous discrete sys-tem. We study fundamental properties of ω-limit sets and discuss the relationship between ω-limit sets and attraction for non-autonomous dis-crete dynamical systems..

Abstract

In this paper we study ω-limit sets and attraction of non-autonomous discrete dynamical systems. We introduce some basic con-cepts such as ω-limit set and attraction for non-autonomous discrete sys-tem. We study fundamental properties of ω-limit sets and discuss the relationship between ω-limit sets and attraction for non-autonomous dis-crete dynamical systems..

참고문헌 (23)

  1. S. Agronsky, "The structure of !-limit sets for continuous functions", Real Anal. Exchange, 15(2), pp.483~510 (1989)
  2. E. D'Aniello, "Asymptotically stable sets and the stability of !-limit sets", J. Math. Anal. Appl, 321(2), pp.867~879 (2006)
  3. L. S. Block, "Dynamics in One Dimension, Lecture Notes in Mathe- matics" (1992), Springer Verlag
  4. C. J. Braga Barros, "Attractors and chain recurrence for semigroup actions", J. Dynam. Differential Equations, 22(4), pp.723~740 (2010)
  5. J. S. Canovas, "On !-limit sets of non-autonomous discrete systems", J. Difference Equ. Appl, 12(1), pp.95~100 (2006)
  6. R. Engelking, "General Topology" (1977), PWN
  7. V. V. Fedorenko, "Trajectories of intervals in one-dimensional dynamical systems", J. Difference Equ. Appl, 13(8), pp.821~828 (2007)
  8. J. K. Hale, "Asymptotic behavior of dissipative systems, Mathematical Surveys and Mono- graphs" (1988), American Mathematical Society
  9. X. Huang, "Topological pressure of nonautonomous dynamical systems", Nonlinear Dyn. Syst. Theory, 8(1), pp.43~48 (2008)
  10. X. Huang, "Pre-image entropy of nonautonomous dynamical systems", J. Syst. Sci. Complex, 21(3), pp.441~445 (2008)
  11. R. Kempf, "On Ω-limit sets of discrete-time dynamical systems", J. Difference Equ. Appl, 8(12), pp.1121~1131 (2002)
  12. S. Kolyada, "Topological entropy of nonautonomous dynamical systems", Random Comput. Dynam, 4(2), pp.205~233 (1996)
  13. S. Kolyada, "On minimality of nonautonomous dynamical systems", Nonlinear Oscil, 7(1), pp.83~89 (2004)
  14. W. Krabs, "Stability and controllability in non-autonomous time-discrete dynamical sys- tems", J. Difference Equ. Appl, 8(12), pp.1107~1118 (2002)
  15. A. M. Marzocchi, "Attractors for dynamical systems in topological spaces", Discrete Contin. Dyn. Syst, 8(3), pp.585~597 (2002)
  16. E. Michael, "Topologies on spaces of subsets", Trans. Amer. Math. Soc, 71, pp.152~182 (1951)
  17. R. A. Mimna, "Asymptotically stable sets for semi-homeomorphisms", Nonlinear Anal, 59(6), pp.849~855 (2004)
  18. P. Oprocha, "Topological approach to chain recurrence in continuous dynamical systems", Opuscula Math, 25(2), pp.261~268 (2005)
  19. P. Oprocha, "Chaos in nonautonomous dynamical systems", An. Stiint. Univ. Ovidius Constanta Ser. Mat, 17(3), pp.209~221 (2009)
  20. C. Robinson, "Dynamical Systems: Stability, Symbolic Dynamics, and Chaos, 2nd ed" (1999), CRc Press Inc
  21. Y. Shi, "Chaos of time-varying discrete dynamical systems", J. Difference Equ. Appl, 15(5), pp.429~449 (2009)
  22. R. Temam, "Infinite-dimensional Dynamical Systems in Mechanics and Physics" (1988), Springer
  23. C. Tian, "Chaos of a sequence of maps in a metric space", Chaos Solitons Fractals, 28(4), pp.1067~1075 (2006)

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