| 000 | 03037nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-981-97-2204-4 | ||
| 003 | DE-He213 | ||
| 005 | 20251030114617.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 241214s2024 si | s |||| 0|eng d | ||
| 020 |
_a9789819722044 _9978-981-97-2204-4 |
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| 024 | 7 |
_a10.1007/978-981-97-2204-4 _2doi |
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| 050 | 4 | _aQA843-871 | |
| 072 | 7 |
_aGPFC _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aGPFC _2thema |
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| 100 | 1 |
_aLuo, Albert C. J. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981241 |
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| 245 | 1 | 0 |
_a1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems _h[electronic resource] / _cby Albert C. J. Luo. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2024. |
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| 300 |
_aIX, 377 p. 49 illus., 48 illus. in color. _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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| 505 | 0 | _aConstant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations. | |
| 520 | _aThis book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem. | ||
| 650 | 0 | _aDynamical systems. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 |
_aSystem theory. _966519 |
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| 650 | 0 |
_aControl theory. _968675 |
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| 650 | 1 | 4 | _aDynamical Systems. |
| 650 | 2 | 4 | _aDifferential Equations. |
| 650 | 2 | 4 |
_aComplex Systems. _966520 |
| 650 | 2 | 4 |
_aSystems Theory, Control. _968676 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819722037 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819722051 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819722068 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-97-2204-4 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c65706 _d65706 |
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