The Obstruction Method and Some Numerical Experiments Related to the Standard Map
Chapter
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.
Keywords
Invariant Manifold Unstable Manifold Rotation Number Symmetry Line Continue Fraction Expansion
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References
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Copyright information
© D. Reidel Publishing Company 1987