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020 _a9783031571046
_9978-3-031-57104-6
024 7 _a10.1007/978-3-031-57104-6
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
072 7 _aGPFC
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072 7 _aSCI064000
_2bisacsh
072 7 _aTBJ
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072 7 _aGPFC
_2thema
100 1 _aLuo, Albert C. J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981241
245 1 0 _aTwo-dimensional Product-Cubic Systems, Vol. IV
_h[electronic resource] :
_bCrossing-quadratic Vector Fields /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 256 p. 42 illus., 41 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation.
520 _aThis book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles. .
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aDynamical systems.
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aMechanics, Applied.
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aUniversal algebra.
_975551
650 1 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aDynamical Systems.
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aGeneral Algebraic Systems.
_975552
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031571039
776 0 8 _iPrinted edition:
_z9783031571053
776 0 8 _iPrinted edition:
_z9783031571060
856 4 0 _uhttps://doi.org/10.1007/978-3-031-57104-6
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c64612
_d64612