Keywords
- Zeta Function
- Periodic Point
- Euler Characteristic
- Homotopy Class
- Topological Entropy
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Bibliography
R. Bowen, Topological entropy and Axiom A, Proc. Sympos. Pure Math. 14, Amer. Math. Soc., Providence, R.I., 23–42.
J. Franks, A reduced zeta function for diffeomorphisms, to appear in Amer. J. of Math.
J. Franks, Some smooth maps with infinitely many hyperbolic periodic points, to appear in Trans. Amer. Math. Soc.
J. Guckenheimer, Axiom A and no-cycles imply ς(f) rational, Bull. Amer. Math. Soc. 76(1970), 592–594.
A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc. 3(1971), 215–220.
C. Narasimhan, The periodic behavior of Morse-Smale diffeomorphisms on compact surfaces, Thesis, Northwestern University, 1977.
J. Neuberger, An iterative method for solving nonlinear partial differential equations, Advances in Math. 19(1976), 245–265.
M. Shub and D. Sullivan, Homology theory and dynamical systems, Topology 14(1975), 109–132.
S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73(1967), 747–817.
R. Williams, The zeta function of an attractor, Conference on Topology of Manifolds (Michigan State 1967), Prindle, Weber and Schmidt (1968).
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© 1978 Springer-Verlag
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Batterson, S. (1978). Periodic points and lefschetz numbers. 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/BFb0101776
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DOI: https://doi.org/10.1007/BFb0101776
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