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Two-dimensional Two Product Cubic Systems, Vol. III : Self-linear and Crossing Quadratic Product Vector Fields / by Albert C. J. Luo

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cham : Springer Nature Switzerland, 2024Publisher: Cham : Imprint: Springer, 2024Edition: 1st ed. 2024Description: 1 Online-Ressource(X, 284 p. 72 illus., 71 illus. in color.)ISBN:
  • 9783031595592
Subject(s): Additional physical formats: 9783031595585 | 9783031595608 | 9783031595615 | Erscheint auch als: 9783031595585 Druck-Ausgabe | Erscheint auch als: 9783031595608 Druck-Ausgabe | Erscheint auch als: 9783031595615 Druck-AusgabeDOI: DOI: 10.1007/978-3-031-59559-2Online resources: Summary: This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.PPN: PPN: 190570044XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-ENG | ZDB-2-SXE
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