000 | 03169nam a22004935i 4500 | ||
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001 | 978-3-540-38427-4 | ||
003 | DE-He213 | ||
005 | 20190213151701.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540384274 _9978-3-540-38427-4 |
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024 | 7 |
_a10.1007/BFb0094521 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aReithmeier, Eduard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aPeriodic Solutions of Nonlinear Dynamical Systems _h[electronic resource] : _bNumerical Computation, Stability, Bifurcation and Transition to Chaos / _cby Eduard Reithmeier. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aVI, 174 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 ; _v1483 |
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520 | _aLimit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application. Although, there is extensive literature on periodic solutions, in particular on existence theorems, the connection to physical and technical applications needs to be improved. The bifurcation behavior of periodic solutions by means of parameter variations plays an important role in transition to chaos, so numerical algorithms are necessary to compute periodic solutions and investigate their stability on a numerical basis. From the technical point of view, dynamical systems with discontinuities are of special interest. The discontinuities may occur with respect to the variables describing the configuration space manifold or/and with respect to the variables of the vector-field of the dynamical system. The multiple shooting method is employed in computing limit cycles numerically, and is modified for systems with discontinuities. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations. The text addresses mathematicians interested in engineering problems as well as engineers working with nonlinear dynamics. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aEngineering mathematics. | |
650 | 0 | _aMechanics. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aMathematical and Computational Engineering. _0http://scigraph.springernature.com/things/product-market-codes/T11006 |
650 | 2 | 4 |
_aClassical Mechanics. _0http://scigraph.springernature.com/things/product-market-codes/P21018 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662163498 |
776 | 0 | 8 |
_iPrinted edition: _z9783540545125 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1483 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0094521 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11527 _d11527 |