Titlebook: Introduction to the Perturbation Theory of Hamiltonian Systems; Dmitry Treschev,Oleg Zubelevich Book 2010 Springer-Verlag Berlin Heidelber

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eading scientists and engineers.Edited by renowned Encyclope.The .Encyclopedia of Sustainability Science and Technology. (ESST) addresses the grand challenge for science and engineering today. It provides unprecedented, peer-reviewed coverage in more than 550 separate entries comprising 38 topical s

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Introduction to the KAM Theory,bability measure on the phase space if the measure of any invariant set equals zero or one.). In the present chapter we discuss basic facts and ideas of the KAM theory and prove one of the simplest theorems of this type.

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The Continuous Averaging Method,mical systems. In these cases one possible approach is based on the continuous averaging. The method appeared as an extension of the Neishtadt averaging procedure (Neishtadt in Prikl. Mat. Meh. 46(2):197–204, 1984) effectively working in the presence of exponentially small effects.

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1439-7382 s given by the ?rst author in 1995–1996 at the Department of Mechanics and Mathematics of Moscow State University. We believe that a major part of the book can be regarded as an additional material to the standard course of Hamiltonian mechanics. In comparison with the original Russian 1 version we

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Book 2010ersity. We believe that a major part of the book can be regarded as an additional material to the standard course of Hamiltonian mechanics. In comparison with the original Russian 1 version we have included new material, simpli?ed some proofs and corrected m- prints. Hamiltonian equations ?rst appea

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https://doi.org/10.1007/978-3-642-03028-4Hamiltonian dynamics; KAM theory; Kolmogorov–Arnold–Moser theorem; dynamics; hamiltonian system; manifold

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Introduction to the Perturbation Theory of Hamiltonian Systems978-3-642-03028-4Series ISSN 1439-7382 Series E-ISSN 2196-9922