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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Allg. & Lexika Local Dynamics of Planar Nonlinear Systems, Vol I
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Local Dynamics of Planar Nonlinear Systems, Vol I
Albert C. J. Luo (Gebundene Ausgabe, Englisch)
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Beschreibung
This first of three related books examines local dynamics of planar nonlinear systems with univariate vector fields through polynomialization. Singular sink source and saddle flows and singular parabola flows are discussed first, followed by local singular arrays of 1-dimensional flows in planar function systems with constant and self and crossing-univariate vector fields. The local singular flows… are the appearing and switching bifurcations of the 1-dimensional flows. The local arrays of 1-dimensional flows include the local arrays of sink, source and saddle flows, and the local arrays of parabola and inflections flows. The singular self and crossing-flows with singular infinite-equilibriums existing in single-variable systems and the infinite-equilibriums for singular self and crossing-flows are also presented. The singular hybrid arrays of self and crossing 1-dimensional flows in single-univariate planar systems are discussed, and the infinite-equilibriums in the local singular hybrid flow arrays are determined. The switching bifurcations of two local hybrid flow arrays are determined through infinite-equilibriums. Local homoclinic networks without centers in self-univariate systems are discussed, and the singular self-equilibriums are for appearing and switching bifurcation of local simple and singular homoclinic network without centers. Local homoclinic networks with centers in crossing-univariate systems are discussed, and the singular crossing-equilibriums are for appearing and switching bifurcation of local simple and singular homoclinic network with centers. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
28.07.2026
Sprache
Englisch
EAN
9783032282767
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Albert C. J. Luo
Seitenanzahl
182
Einbandart
Gebundene Ausgabe
Buch Untertitel
Univariate Vector Fields
Schlagwörter
Constant and self-univariate function systems, Constant and crossing-univariate function systems, Single-variable function systems, Self-univariate function systems, Crossing-univariate function system, Approximate polynomialized systems, Singular self-flows, Singular crossing-flows, Singular self-flow arrays, Singular crossing-flow arrays, Local hybrid arrays of self and crossing flows, Infinite-equilibriums for two hybrid flows arrays, Singular self-equilibriums, Singular crossing-equilibriums, Bifurcation of singular self-equilibriums
Thema-Inhalt
TBJ - Mathematik für Ingenieure
UYQ - Künstliche Intelligenz
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Switzerland AG, Europaplatz 3,69115 Heidelberg, Germany, Heidelberg, Deutschland, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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