| 000 | 02735nam a22004695i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-71225-1 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151551.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 gw | s |||| 0|eng d | ||
| 020 |
_a9783540712251 _9978-3-540-71225-1 |
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| 024 | 7 |
_a10.1007/978-3-540-71225-1 _2doi |
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| 050 | 4 | _aQA372 | |
| 072 | 7 |
_aPBKJ _2bicssc |
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| 072 | 7 |
_aMAT007000 _2bisacsh |
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| 072 | 7 |
_aPBKJ _2thema |
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| 082 | 0 | 4 |
_a515.352 _223 |
| 100 | 1 |
_aRasmussen, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aAttractivity and Bifurcation for Nonautonomous Dynamical Systems _h[electronic resource] / _cby Martin Rasmussen. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
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| 300 |
_aXI, 217 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 ; _v1907 |
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| 505 | 0 | _aNotions of Attractivity and Bifurcation -- Nonautonomous Morse Decompositions -- LinearSystems -- Nonlinear Systems -- Bifurcations in Dimension One -- Bifurcations of Asymptotically Autonomous Systems. | |
| 520 | _aAlthough, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed. | ||
| 650 | 0 | _aDifferential Equations. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 1 | 4 |
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147 |
| 650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540836025 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540712244 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1907 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-71225-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c11122 _d11122 |
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