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020 _a9783031595592
_9978-3-031-59559-2
024 7 _a10.1007/978-3-031-59559-2
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
072 7 _aGPFC
_2bicssc
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 Two Product Cubic Systems, Vol. III
_h[electronic resource] :
_bSelf-linear and Crossing Quadratic Product Vector Fields /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 284 p. 72 illus., 71 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThis book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aMechanics, Applied.
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aUniversal algebra.
_975551
650 0 _aPlasma waves.
_969749
650 1 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aEngineering Mechanics.
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aGeneral Algebraic Systems.
_975552
650 2 4 _aWaves, instabilities and nonlinear plasma dynamics.
_969750
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031595585
776 0 8 _iPrinted edition:
_z9783031595608
776 0 8 _iPrinted edition:
_z9783031595615
856 4 0 _uhttps://doi.org/10.1007/978-3-031-59559-2
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c64115
_d64115