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020 _a9783031595745
_9978-3-031-59574-5
024 7 _a10.1007/978-3-031-59574-5
_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
_2thema
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 Self and Product Cubic Systems, Vol. II
_h[electronic resource] :
_bCrossing-linear and Self-quadratic Product Vector Field /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 238 p. 46 illus., 45 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 _aSelf and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.
520 _aThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aMechanics, Applied.
650 0 _aUniversal algebra.
_975551
650 1 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aGeneral Algebraic Systems.
_975552
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031595738
776 0 8 _iPrinted edition:
_z9783031595752
776 0 8 _iPrinted edition:
_z9783031595769
856 4 0 _uhttps://doi.org/10.1007/978-3-031-59574-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c64287
_d64287