Whitney smooth families of invariant tori within the reversible context 2 of KAM theory
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S1560354716060022.pdf
Reference69 articles.
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2. Arnold, V. I., Kozlov, V.V., and Neishtadt, A. I., Mathematical Aspects of Classical and Celestial Mechanics, 3rd ed., Encyclopaedia Math. Sci., vol. 3, Berlin: Springer, 2006.
3. Broer, H.W. and Sevryuk, M.B., KAM Theory: Quasi-Periodicity in Dynamical Systems, in Handbook of Dynamical Systems: Vol. 3, Amsterdam: Elsevier, 2010, pp. 249–344.
4. Dumas, H. S., The KAM Story: A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory, Hackensack, N.J.: World Sci., 2014.
5. Haro, À., Canadell, M., Figueras, J.-L., Luque, A., and Mondelo, J.-M., The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations, Appl. Math. Sci., vol. 195, Cham: Springer, 2016.
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1. Hamiltonian and reversible systems with smooth families of invariant tori;Indagationes Mathematicae;2021-04
2. Partial Preservation of Frequencies and Floquet Exponents of Invariant Tori in the Reversible KAM Context 2;Journal of Mathematical Sciences;2021-02-26
3. Families of invariant tori in KAM theory: Interplay of integer characteristics;Regular and Chaotic Dynamics;2017-11
4. Herman's Approach to Quasi-Periodic Perturbations in the Reversible KAM Context 2;Moscow Mathematical Journal;2017
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