| 000 | 03656nam a22005655i 4500 | ||
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| 001 | 978-3-031-57112-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030113302.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 241108s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031571121 _9978-3-031-57112-1 |
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| 024 | 7 |
_a10.1007/978-3-031-57112-1 _2doi |
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| 050 | 4 | _aQC718.5.W3 | |
| 072 | 7 |
_aPHFP _2bicssc |
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| 072 | 7 |
_aSCI055000 _2bisacsh |
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| 072 | 7 |
_aPHFP _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 |
_aTwo-dimensional Self-independent Variable Cubic Nonlinear Systems _h[electronic resource] / _cby Albert C. J. Luo. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aX, 275 p. 33 illus., 32 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-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields -- Two self-cubic vector fields. | |
| 520 | _aThis book is the third of 15 related monographs, presents systematically a theory of self-cubic nonlinear systems. Here, at least one vector field is self-cubic, the other vector fields can be constant, self-linear, self-quadratic, and self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems, the dynamical systems possess source, sink, and saddle equilibriums, saddle-source and saddle-sink equilibriums, third-order source and sink (i.e., ( 3rdSO:SO)-source, ( 3rdSI:SI)-sink) and third-order saddle (i.e., (3rdSO:SI)-saddle, 3rdSI:SO)-saddle). For self-quadratic and self-cubic systems, in addition to the first and third-order source, sink, saddles plus saddle-source, saddle-sink, there are (3,2)-saddle-sink, (3,2)-saddle-source and double-saddles, and for the two self-cubic systems, double third-order source, sink and saddles exist. Finally, the authors describes thar the homoclinic orbits without cen-ters can be formed, and the corresponding homoclinic networks of source, sink and saddles exist. • Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; • Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; • Develops homoclinic networks of source, sink and saddles. . | ||
| 650 | 0 |
_aPlasma waves. _969749 |
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| 650 | 0 |
_aDynamics. _965524 |
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| 650 | 0 |
_aNonlinear theories. _965525 |
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| 650 | 0 | _aMechanics, Applied. | |
| 650 | 0 |
_aMultibody systems. _966046 |
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| 650 | 0 |
_aVibration. _966047 |
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| 650 | 1 | 4 |
_aWaves, instabilities and nonlinear plasma dynamics. _969750 |
| 650 | 2 | 4 |
_aApplied Dynamical Systems. _965530 |
| 650 | 2 | 4 | _aEngineering Mechanics. |
| 650 | 2 | 4 |
_aMultibody Systems and Mechanical Vibrations. _966048 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031571114 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031571138 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031571145 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-57112-1 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-SXP | ||
| 999 |
_c64779 _d64779 |
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