000 02472nam a22005295i 4500
001 978-3-642-03028-4
003 DE-He213
005 20140220084524.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642030284
_9978-3-642-03028-4
024 7 _a10.1007/978-3-642-03028-4
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aTreschev, Dmitry.
_eauthor.
245 1 0 _aIntroduction to the Perturbation Theory of Hamiltonian Systems
_h[electronic resource] /
_cby Dmitry Treschev, Oleg Zubelevich.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 211p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aHamiltonian Equations -- to the KAM Theory -- Splitting of Asymptotic Manifolds -- The Separatrix Map -- Width of the Stochastic Layer -- The Continuous Averaging Method -- The Anti-Integrable Limit -- Hill’s Formula.
520 _aThis book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be a valuable reference for Hamiltonian systems, and of special interest to researchers and graduate students of the KAM community.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDifferentiable dynamical systems.
650 0 _aTopology.
650 0 _aMechanics.
650 1 4 _aMathematics.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aAnalysis.
650 2 4 _aTopology.
650 2 4 _aMechanics.
700 1 _aZubelevich, Oleg.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642030277
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-03028-4
912 _aZDB-2-SMA
999 _c111462
_d111462