000 | 03081nam a22005295i 4500 | ||
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001 | 978-3-540-48874-3 | ||
003 | DE-He213 | ||
005 | 20190213151522.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1999 gw | s |||| 0|eng d | ||
020 |
_a9783540488743 _9978-3-540-48874-3 |
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024 | 7 |
_a10.1007/3-540-48874-X _2doi |
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050 | 4 | _aQC174.7-175.36 | |
072 | 7 |
_aPHS _2bicssc |
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072 | 7 |
_aSCI055000 _2bisacsh |
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072 | 7 |
_aPHS _2thema |
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072 | 7 |
_aPHDT _2thema |
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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. |
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300 |
_aXI, 212 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |