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020 _a9783031570926
_9978-3-031-57092-6
024 7 _a10.1007/978-3-031-57092-6
_2doi
050 4 _aQC718.5.W3
072 7 _aPHFP
_2bicssc
072 7 _aSCI055000
_2bisacsh
072 7 _aPHFP
_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. I
_h[electronic resource] :
_bConstant and Linear Vector Fields /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 250 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 _aConstant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems.
520 _aThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations. Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields; Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow; Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow. .
650 0 _aPlasma waves.
_969749
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aMechanics, Applied.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aMathematics
_xData processing.
_965715
650 1 4 _aWaves, instabilities and nonlinear plasma dynamics.
_969750
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aEngineering Mechanics.
650 2 4 _aComputational Science and Engineering.
_965717
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031570919
776 0 8 _iPrinted edition:
_z9783031570933
776 0 8 _iPrinted edition:
_z9783031570940
856 4 0 _uhttps://doi.org/10.1007/978-3-031-57092-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c64659
_d64659