| 000 | 03136nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-38896-8 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151432.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 gw | s |||| 0|eng d | ||
| 020 |
_a9783540388968 _9978-3-540-38896-8 |
||
| 024 | 7 |
_a10.1007/3-540-38894-X _2doi |
|
| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 072 | 7 |
_aPBWR _2thema |
|
| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aHanĪ²mann, Heinz. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aLocal and Semi-Local Bifurcations in Hamiltonian Dynamical Systems _h[electronic resource] / _cby Heinz HanĪ²mann. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
|
| 300 |
_aXVI, 242 p. 22 illus. _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 Mathematics, _x0075-8434 ; _v1893 |
|
| 505 | 0 | _aBifurcations of Equilibria -- Bifurcations of Periodic Orbits -- Bifurcations of Invariant Tori -- Perturbations of Ramified Torus Bundles -- Planar Singularities -- Stratifications -- Normal Form Theory -- Proof of the Main KAM Theorem -- Proofs of the Necessary Lemmata. | |
| 520 | _aOnce again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way. | ||
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 0 | _aDifferential Equations. | |
| 650 | 0 | _aGlobal analysis. | |
| 650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 650 | 2 | 4 |
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147 |
| 650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540828662 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540388944 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1893 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-38894-X |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c10661 _d10661 |
||