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001 978-3-540-48874-3
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020 _a9783540488743
_9978-3-540-48874-3
024 7 _a10.1007/3-540-48874-X
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aSCI055000
_2bisacsh
072 7 _aPHS
_2thema
072 7 _aPHDT
_2thema
082 0 4 _a621
_223
100 1 _aCicogna, Giampaolo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSymmetry and Perturbation Theory in Nonlinear Dynamics
_h[electronic resource] /
_cby Giampaolo Cicogna, Giuseppe Gaeta.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1999.
300 _aXI, 212 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v57
505 0 _aSymmetry and Differential Equations -- Dynamical Systems -- Symmetries of Dynamical Systems -- Normal Forms and Symmetries for Dynamical Systems -- Normal Forms and Symmetries for Hamiltonian Systems -- Convergence of the Normalizing Transformations -- Invariant Manifolds -- Further Normalization -- Asymptotic Symmetries.
520 _aThis book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.
650 0 _aMathematical physics.
650 0 _aStatistical physics.
650 1 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aGaeta, Giuseppe.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642085185
776 0 8 _iPrinted edition:
_z9783540659044
776 0 8 _iPrinted edition:
_z9783662142264
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v57
856 4 0 _uhttps://doi.org/10.1007/3-540-48874-X
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c10949
_d10949