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The number of periodic orbits of smooth maps

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Part of the book series: Lecture Notes in Mathematics ((2803,volume 1411))

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References

  1. F.E. Browder. The Lefschetz fixed point theorem and asymptotic fixed point theorems. Lecture Notes in Math. 446. Springer-Verlag:Berlin, 1975, 96–122.

    MATH  Google Scholar 

  2. A. Dold. Fixed point indices of iterated maps. Invent. math. 74 (1983), 419–435.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Franks. Some smooth maps with infinitely many hyperbolic periodic points. Trans. Amer. Math. Soc. 226 (1977), 175–179.

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  4. J. Franks. Period doubling and the Lefschetz formula. Trans. Amer. Math. Soc. 287 (1985), 275–283.

    Article  MathSciNet  MATH  Google Scholar 

  5. N. Levinson. Transformation theory of non-linear differential equations of the second order. Ann. of Math. 45 (1944), 723–737. Corrections, ibid. 49 (1948), 738.

    Article  MathSciNet  MATH  Google Scholar 

  6. J.L. Massera. The number of subharmonic solutions of non-linear differential equations of the second order. Ann. of Math. 50 (1949), 118–126.

    Article  MathSciNet  MATH  Google Scholar 

  7. H.O. Peitgen. On the Lefschetz number for iterates of continuous mappings. Proc. Amer. Math. Soc. 54 (1976), 441–444.

    Article  MathSciNet  MATH  Google Scholar 

  8. K. Shiraiwa. A generalization of the Levinson-Massera's equalities. Nagoya Math. J. 67 (1977), 121–138.

    Article  MathSciNet  MATH  Google Scholar 

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Boju Jiang

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© 1989 Springer-Verlag

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Matsuoka, T. (1989). The number of periodic orbits of smooth maps. In: Jiang, B. (eds) Topological Fixed Point Theory and Applications. Lecture Notes in Mathematics, vol 1411. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086450

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  • DOI: https://doi.org/10.1007/BFb0086450

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51932-4

  • Online ISBN: 978-3-540-46862-2

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