References
- N. Aoki and K. Hiraide, Topological theory of dynamical systems, Recent advances. North-Holland Mathematical Library, 52, North-Holland Publishing Co., Amsterdam, 1994.
- J. Auslander and P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier 14 (1964), 237-268. https://doi.org/10.5802/aif.179
- J. S. Bae, S. K. Choi, and J. S. Park, Limit sets and prolongations in topological dynamics, J. Differential Equations 64 (1986), 336-339. https://doi.org/10.1016/0022-0396(86)90079-3
- N. P. Bhatia and G. P. Szego, Stability theory of dynamical systems, Springer-Verlag, Berlin, 1970.
- L. Block and W. Coppel, Dynamics in one dimension, Lecture Notes in Math. 1513, Springer-Verlag, Berlin, 1992.
- R. Bowen, Equilibrium States and the Ergodic Theory of Axiom A Diffeomorphisms, Lecture Notes in Math. 470, Springer-Verlag, New York, 1975.
- H. Y. Chu, A. Kim, and J. S. Park, A topological characterization of omega-limit sets on dynamical systems, In preparation.
- C. C. Conley, Isolated Invariant Sets and Morse Index, Amer. Math. Sci., Providence, 1978.
- C. Ding, Chain prolongation and chain stability, Nonlinear Anal. 68 (2008), 2719-2726. https://doi.org/10.1016/j.na.2007.02.018
- S. H. Ku and J. S. Park, Characterizations on chain recurrences, Bull. Korean Math. Soc. 47 (2010), 287-293. https://doi.org/10.4134/BKMS.2010.47.2.287
- P. Oprocha, Topological approach to chain recurrence in continuous dynamical systems, Opuscula math. 25 (2005), no. 2, 261-268.
- S. Y. Pilyugin, Shadowing in dynamical systems, Lecture Notes in Math. 1706, Springer-Verlag, Berlin, 1999.
- K. S. Sibirsky, Introduction to Topological Dynamics, Noordhoff International Publishing, Leyden, 1975.
- J. A. Souza and H. Tozatti, Prolongational limit sets of control systems, J. Differential Equations 254 (2013), 2183-2195. https://doi.org/10.1016/j.jde.2012.11.020
- T. Ura, Sur les courbes definies par les equations differentielles dans l'espace a m dimensions, Ann. Sci. Ecole Norm. Sup. 3 (1953), 287-360.
- J. de Vries, Elements of topological dynamics, Kluwer Academic Publisher, Dordrecht, 1993.
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- A TOPOLOGICAL CHARACTERIZATION OF Ω-LIMIT SETS ON DYNAMICAL SYSTEMS vol.27, pp.3, 2014, https://doi.org/10.14403/jcms.2014.27.3.523