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010   $a9783540315506
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100   $a20100806d2005      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMetamorphoses of Hamiltonian Systems with Symmetries /$fby Konstantinos Efstathiou
205   $a1st ed. 2005.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005.
215   $a1 online resource (IX, 149 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1864
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9783540243168 
311 08$a354024316X 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aModern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1864
606   $aMathematical physics
606   $aStatistical physics
606   $aDynamics
606   $aDynamics
606   $aErgodic theory
606   $aTopological groups
606   $aLie groups
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
615  0$aMathematical physics.
615  0$aStatistical physics.
615  0$aDynamics.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aTopological groups.
615  0$aLie groups.
615 14$aTheoretical, Mathematical and Computational Physics.
615 24$aComplex Systems.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aTopological Groups, Lie Groups.
615 24$aStatistical Physics and Dynamical Systems.
676   $a515.7222
700   $aEfstathiou$b Konstantinos$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472491
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910481955003321
996   $aMetamorphoses of Hamiltonian systems with symmetries$9230758
997   $aUNINA