References
- Athanassopoulos K., Explosions near isolated unstable attractors, Pac. J. Math. 210 (2003), pp. 201–214. doi: 10.2140/pjm.2003.210.201
- Athanassopoulos K., Remarks on the region of attraction of an isolated invariant set, Colloq. Math. 104 (2006), pp. 157–167. doi: 10.4064/cm104-2-1
- Bhatia N.P. and Hajek O., Local Semi-Dynamical Systems, Lecture Notes in Math. 90, Springer-Verlag, Berlin/New York, 1969.
- Bhatia N.P. and Szegö G.P., Stability Theory of Dynamical Systems, Grundlehren der Math. Wissenschaften 161, Springer-Verlag, Berlin/New York, 1970.
- Conley C. and Easton R., Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc. 157 (1971), pp. 1–27. doi: 10.1090/S0002-9947-1971-0278122-4
- Latschev J., Coherent measures and the existence of smooth Lyapunov 1-forms for flows, Topology 45 (2006), pp. 707–723. doi: 10.1016/j.top.2006.01.001
- Moron M.A., Sanchez-Gabites J.J., and Sanjurjo J.M.R., Topology and dynamics of unstable attractors, Fund. Math. 197 (2007), pp. 239–252. doi: 10.4064/fm197-0-11
- Nadzieja T., Construction of a smooth Lyapunov function for an asymptotically stable set, Czechoslovak Math. J. 40 (1990), pp. 195–199.
- Robbin J.W. and Salamon D., Dynamical systems, shape theory and the Conley index, Ergodic Theory Dynam. Sys. 8* (1988), pp. 375–393. doi: 10.1017/S0143385700009494
- Sanchez-Gabites J.J., Unstable attractors in manifolds, Trans. Amer. Math. Soc. 362 (2010), pp. 3563–3589. doi: 10.1090/S0002-9947-10-05061-0
- Sanchez-Gabites J.J., An approach to the shape Conley index without index pairs, Revista Math. Compultense 24 (2011), pp. 95–114.
- Wilson Jr. F.W., Smoothing derivatives of functions and applications, Trans. Amer. Math. Soc. 139 (1969), pp. 413–428. doi: 10.1090/S0002-9947-1969-0251747-9
- Wilson Jr. F.W. and Yorke J.A., Lyapunov functions and isolating blocks, J. Differ. Equ. 13 (1973), pp. 106–123. doi: 10.1016/0022-0396(73)90034-X