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020 _a9783031484834
_9978-3-031-48483-4
024 7 _a10.1007/978-3-031-48483-4
_2doi
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMD
_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. VII
_h[electronic resource] :
_bSelf- Quadratic Vector Fields /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 232 p. 47 illus., 46 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 _aChapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.
520 _aThis book, the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: • inflection-saddle infinite-equilibriums, • hyperbolic-source (sink) infinite-equilibriums, • up-down (down-up) saddle infinite-equilibriums, • inflection-source (sink) infinite-equilibriums. Develops a theory of cubic dynamical systems possessing a product-cubic vector field and a self-quadratic vector field; Finds series/networks of equilibriums, 1-dimenional hyperbolic/hyperbolic-secant flows, finite-equilibrium switching; Presents sink and source separated by a connected hyperbolic-secant flow, and the (SO,SI) and (SI,SO)-saddles. .
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aMechanics, Applied.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aStochastic analysis.
_959375
650 1 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aEngineering Mechanics.
650 2 4 _aStochastic Analysis.
_959375
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031484827
776 0 8 _iPrinted edition:
_z9783031484841
776 0 8 _iPrinted edition:
_z9783031484858
856 4 0 _uhttps://doi.org/10.1007/978-3-031-48483-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c64350
_d64350