References

[1] D.G. Aronson, M.A. Chory, G.R. Hall and R.P. McGehee, Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study, Comm. Math. Phys. 83 (1982), 304-354.

[2] C. Conley, The gradient structure of a flow I, IBMRC 3932 (#17806), July 17, 1972. (Reprinted in Ergodic Theory and Dynamical Systems 8, (1998)

[3] C. Conley, "Isolated Invariant Sets and the Morse Index", CBMS Conference Series Number 38, American Mathematical Society, Providence, Rhode Island, 1978.

[4] C. Conley, R. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc., 158 (1971), 35-61.

[5] R. Easton, Isolating Blocks and Epsilon Chains for Maps, preprint.

[6] G.R. Hall, Some examples of permutations modelling area preserving monotone twist maps, Physica 28D (1987), 393-400.

[7] S.M. Hammel, J.A. Yorke and C. Grebogi, Do Numerical Orbits of Chaotic Dynamical Processes Represent True Orbits? Journal of Complexity 3 (1987), 136-145.

[8] S.M. Hammel, J.A. Yorke and C. Grebogi, Numerical orbits of chaotic processes represent true orbits, Bull. Amer. Math. Soc. 19 (1988), 465-469.

[9] J. LaSalle and S. Lefschetz, "Stability by Liapunov's Direct Method With Applications", Academic Press, New York, 1961.

[10] P. Lax, Approximation of measure preserving transformations, Comm. Pure Appl. Math. 24 (1971), 133-135.

[11] D. Norton, PhD Thesis, University of Minnesota (in progress)

[12] F. Rannou, Numerical study of discrete plane area-preserving mappings, Astron. and Astrophys. 3 (1974), 289-301.


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