000 | 03212nam a22005175i 4500 | ||
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001 | 978-3-540-31550-6 | ||
003 | DE-He213 | ||
005 | 20190213151215.0 | ||
007 | cr nn 008mamaa | ||
008 | 100806s2005 gw | s |||| 0|eng d | ||
020 |
_a9783540315506 _9978-3-540-31550-6 |
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024 | 7 |
_a10.1007/b105138 _2doi |
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050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
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_aSCI040000 _2bisacsh |
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072 | 7 |
_aPHU _2thema |
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082 | 0 | 4 |
_a530.1 _223 |
100 | 1 |
_aEfstathiou, Konstantinos. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aMetamorphoses of Hamiltonian Systems with Symmetries _h[electronic resource] / _cby Konstantinos Efstathiou. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2005. |
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300 |
_aIX, 149 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 Mathematics, _x0075-8434 ; _v1864 |
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505 | 0 | _aIntroduction -- Four Hamiltonian Systems -- Small Vibrations of Tetrahedral Molecules -- The Hydrogen Atom in Crossed Fields -- Quadratic Spherical Pendula -- Fractional Monodromy in the 1: - 2 Resonance System -- The Tetrahedral Group -- Local Properties of Equilibria -- References -- Index. | |
520 | _aModern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy. | ||
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aStatistical physics. | |
650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aComplex Systems. _0http://scigraph.springernature.com/things/product-market-codes/P33000 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aStatistical Physics and Dynamical Systems. _0http://scigraph.springernature.com/things/product-market-codes/P19090 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540806813 |
776 | 0 | 8 |
_iPrinted edition: _z9783540243168 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1864 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b105138 |
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912 | _aZDB-2-LNM | ||
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