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The structure of smale diffeomorphisms

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The Structure of Attractors in Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 668))

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Bibliography

  1. R. Bowen, Topological entropy and Axiom A, Proc. Symp. Pure Math. 14, A.M.S., 1970.

    Google Scholar 

  2. J. Franks, Constructing structurally stable diffeomorphisms, Ann. of Math. 105(1976).

    Google Scholar 

  3. J. Franks, A reduced zeta function for diffeomorphism, to appear in Amer. J. of Math.

    Google Scholar 

  4. M. Shub, Homology and dynamical systems, Proc. of the Conference on Dynamical Systems, Warwick, 1974, Springer-Verlag Lecture Notes in Math., #468.

    Google Scholar 

  5. M. Shub, Structurally stable diffeomorphisms are dense, Bull. A.M.S., 78, 817.

    Google Scholar 

  6. M. Shub and D. Sullivan, Homology theory and dynamical systems, Topology 14(1975), 109–132.

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Smale, On the structure of manifolds, Amer. J. of Math. 84 (1962), 387–399.

    Article  MathSciNet  MATH  Google Scholar 

  8. S. Smale, Differentiable dynamical systems, Bull. A.M.S. 73(1967), 747–817.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Smale, Stability and isotopy in discrete dynamical systems, Proc. Sympos. on Dynamical Systems, Salvador, Brazil, Academic Press, 1971.

    Google Scholar 

  10. R.F. Williams, Classification of subshifts of finite type, Ann. of Math. 98(1973), 120–153.

    Article  MathSciNet  MATH  Google Scholar 

  11. E.C. Zeeman, Morse inequalities for Smale diffeomorphisms and flows, Proc. of the Conference on Dynamical Systems, Warwick, 1974, Springer-Verlag Lecture Notes in Math., #468.

    Google Scholar 

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Nelson G. Markley John C. Martin William Perrizo

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© 1978 Springer-Verlag

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Franks, J. (1978). The structure of smale diffeomorphisms. In: Markley, N.G., Martin, J.C., Perrizo, W. (eds) The Structure of Attractors in Dynamical Systems. Lecture Notes in Mathematics, vol 668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101784

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  • DOI: https://doi.org/10.1007/BFb0101784

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