Abstract
We present rigorous results that serve as a partial justification for the approximation of invariant tori by periodic orbits in high-dimensional symplectic maps and quasi-periodic perturbations of symplectic maps. We use our analytical results to implement efficient numerical algorithms for the study of phenomena at and beyond breakdown of invariant tori.
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© 1999 Springer Science+Business Media Dordrecht
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Tompaidis, S. (1999). Approximation of Invariant Surfaces by Periodic Orbits in High-Dimensional Maps. In: Simó, C. (eds) Hamiltonian Systems with Three or More Degrees of Freedom. NATO ASI Series, vol 533. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4673-9_87
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DOI: https://doi.org/10.1007/978-94-011-4673-9_87
Publisher Name: Springer, Dordrecht
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