References
Milnor, J.: On the concept of attractor. Commun. Math. Phys.99, 177–195 (1985)
Smale, S.: Differentiable dynamical systems. Bull. Am. Math. Soc.73, 743–817 (1967)
Besicovitch, A.S.: A problem on topological transformation of the plane. Fundam. Math.27, 61–65 (1937) (compare [4])
Besicovitch, A.S.: A problem on topological transformations of the plane. II. Proc. Camb. Phil. Soc.47, 38–45 (1951)
Conley, C.: Isolated invariant sets and the Morse index. CBMS-NSF Reg. Conf.38, Am. Math. Soc. 1978
Auslander, J., Bhatia, N.P., Seibert, P.: Attractors in dynamical systems. Bol. Soc. Mat. Mex.9, 55–66 (1964)
Dobrynskii, V.A., Sarkovskii, A.N.: Genericity of dynamical systems almost all orbits of which are stable under sustained perturbations. Sov. Math. Dokl.14, 997–1005 (1973)
Hurley, M.: Attractors: persistence, and density of their basins. Trans. Am. Math. Soc.269, 247–271 (1982) (compare [9])
Hurley, M.: Bifurcation and chain recurrence. Ergodic Theory Dyn. Syst.3, 231–240 (1983)
Newhouse, S.: Lectures on dynamical systems, pp. 1–114 of “Dynamica Systems”. Guckenheimer, Moser Newhouse (ed.). Boston, Basel, Stuttgart: Birkhäuser 1980
Robinson, R.C., Williams, R.F.: Finite stability is not generic, pp. 451–462 of “Dynamical Systems”. Peixoto, M. (ed.). New York: Academic Press 1973
Takens, F.: Tolerance stability, pp. 293–304 of “Dynamical Systems”. Lecture Notes in Mathematics, Vol. 468, Manning, A. (ed.). Berlin, Heidelberg, New York: Springer 1975
Maryer, D., Roepstorff, G.: Strange attractors and asymptotic measures of discrete-time dissipative systems. J. Stat. Phys.31, 309–326 (1983)
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Communicated by A. Jaffe
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Milnor, J. On the concept of attractor: Correction and remarks. Commun.Math. Phys. 102, 517–519 (1985). https://doi.org/10.1007/BF01209298
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DOI: https://doi.org/10.1007/BF01209298