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Abstrakty
In this paper we present equivalent definitions of chain recurrent set for continuous dynamical systems. This definition allow us to define chain recurrent set in topological spaces.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
261--268
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland; and Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland, oprocha@agh.edu.pl
Bibliografia
- [1] Akin E.: The General Topology of Dynamical Systems. Graduate Studies in Mathematics, Amer. Math. Soc. 1993
- [2] Aoki N., Hiraide K.: Topological Theory of Dynamical Systems. Recent Advances, North-Holland 1994
- [3] Block L. S., Coppel W. A.: Dynamics in One Dimension. Lec. Notes in Math., Springer-Verlag 1992
- [4] Conley C.C.: The gradient structure of the flow: I. Ergodic Th. Dynam. Systems 8 (1988) 11-26
- [5] Franke J.E., Selgrade J.F.: Abstract u;-limit set, chain-recurrent sets and basic sets for flows. Proc. Amer. Math. Soc. 60 (1976) 309-316
- [6] Franke J.E., Selgrade J.F.: Hyperbolicity and Chain Recurence. J. Diff. Eq. 26 (1977) 27-36
- [7] Kuratowski: Topology. Vol II, Academic Press and Polish Scientific Publishers 1968
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0003-0048