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Properties of attractors of generic homeomorphisms

  • Mike Hurley (a1)

We describe several generic properties of homeomorphisms on compact manifolds. These properties concern the attractors of a homeomorphism, its chain recurrent set, and the periodic points.

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[1] C. Conley . Isolated Invariant Sets and the Morse Index. C.B.M.S. publication #38, A.M.S., Providence, 1978.

[2] E. M. Coven , J. Madden and Z. Nitecki . A note on generic properties of continuous maps. Ergodic Theory and Dynamical Systems II. Birkhäuser, Boston, 1982, pp. 97101.

[4] J. Franks . A variation of the Poincaré-Birkhoff theorem. Hamiltonian Dynamical Systems (Contemp. Math. vol. 81) A.M.S., Providence, 1988, pp. 111117.

[11] J. Palis , C. Pugh , M. Shub and D. Sullivan . Genericity theorems in topological dynamics. Dynamical Systems—Warwick 1974 (Lecture Notes in Mathematics 468), Springer, New York, 1975, pp. 241250.

[14] P. Walters . On the pseudo-orbit tracing property and its relationship to stability. The Structure of Attractors in Dynamical Systems (Lecture Notes in Mathematics 668). Springer, New York, 1978, pp. 231244.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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