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020 _a9783031571084
_9978-3-031-57108-4
050 4 _aTA352-356
050 4 _aQC20.7.N6
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082 0 4 _a515.39
_223
100 1 _aLuo, Albert C. J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTwo-dimensional Single-Variable Cubic Nonlinear Systems, Vol II
_h[electronic resource] :
_bA Crossing-variable Cubic Vector Field /
_cby Albert C. J. Luo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 240 p. 44 illus., 40 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 Self-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields -- Two self-cubic vector fields.
520 _aThis book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Explains infinite-equilibriums for the switching of the first-order sink and source flows. .
541 _fUABC ;
_cPerpetuidad
650 0 _aDynamics.
650 0 _aNonlinear theories.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 0 _aFunctions of complex variables.
650 0 _aDynamical systems.
650 0 _aPlasma waves.
650 1 4 _aApplied Dynamical Systems.
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
650 2 4 _aDynamical Systems.
650 2 4 _aWaves, instabilities and nonlinear plasma dynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031571077
776 0 8 _iPrinted edition:
_z9783031571091
776 0 8 _iPrinted edition:
_z9783031571107
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-57108-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c276847
_d276846