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Two-dimensional two product cubic systems.. Vol. III,. Self-linear and crossing quadratic product vector fields
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Two-dimensional two product cubic systems./ by Albert C. J. Luo.
remainder title:
Self-linear and crossing quadratic product vector fields
Author:
Luo, Albert C. J.
Published:
Cham :Springer Nature Switzerland : : 2024.,
Description:
x, 284 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer Nature eBook
Subject:
Nonlinear systems. -
Online resource:
https://doi.org/10.1007/978-3-031-59559-2
ISBN:
9783031595592
Two-dimensional two product cubic systems.. Vol. III,. Self-linear and crossing quadratic product vector fields
Luo, Albert C. J.
Two-dimensional two product cubic systems.
Vol. III,Self-linear and crossing quadratic product vector fields[electronic resource] /Self-linear and crossing quadratic product vector fieldsby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 284 p. :ill. (some col.), digital ;24 cm.
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.
ISBN: 9783031595592
Standard No.: 10.1007/978-3-031-59559-2doiSubjects--Topical Terms:
569004
Nonlinear systems.
LC Class. No.: QA402
Dewey Class. No.: 515.252
Two-dimensional two product cubic systems.. Vol. III,. Self-linear and crossing quadratic product vector fields
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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.
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