Abstract
Invariant manifolds of hyperbolic periodic points can be used to show the non-existence of invariant rotational curves of one parameter families of area preserving twist maps on the cylinder. We studied the behavior of these periodic points concerning their eigenvalues, ordering and critical value of the parameter. The standard map was studied using numerical and perturbative methods.
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References
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© 1987 D. Reidel Publishing Company
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Olvera, A., Simó, C. (1987). The Obstruction Method and Some Numerical Experiments Related to the Standard Map. In: Rabinowitz, P.H., Ambrosetti, A., Ekeland, I., Zehnder, E.J. (eds) Periodic Solutions of Hamiltonian Systems and Related Topics. NATO ASI Series, vol 209. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3933-2_21
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DOI: https://doi.org/10.1007/978-94-009-3933-2_21
Publisher Name: Springer, Dordrecht
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