000 | 02893nam a22005175i 4500 | ||
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001 | 978-3-540-40985-4 | ||
003 | DE-He213 | ||
005 | 20190213151445.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2004 gw | s |||| 0|eng d | ||
020 |
_a9783540409854 _9978-3-540-40985-4 |
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024 | 7 |
_a10.1007/978-3-540-40985-4 _2doi |
|
050 | 4 | _aQA313 | |
072 | 7 |
_aPBWR _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBWR _2thema |
|
082 | 0 | 4 |
_a515.39 _223 |
082 | 0 | 4 |
_a515.48 _223 |
100 | 1 |
_aSiburg, Karl Friedrich. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 4 |
_aThe Principle of Least Action in Geometry and Dynamics _h[electronic resource] / _cby Karl Friedrich Siburg. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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300 |
_aXII, 132 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 |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1844 |
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505 | 0 | _aAubry-Mather Theory -- Mather-Mané Theory -- The Minimal Action and Convex Billiards -- The Minimal Action Near Fixed Points and Invariant Tori -- The Minimal Action and Hofer's Geometry -- The Minimal Action and Symplectic Geometry -- References -- Index. | |
520 | _aNew variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book. | ||
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aGlobal analysis. | |
650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540219446 |
776 | 0 | 8 |
_iPrinted edition: _z9783662190296 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1844 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-40985-4 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10739 _d10739 |