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Two-dimensional Product-Cubic Systems, Vol. IV Crossing-quadratic Vector Fields /

This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing...

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Bibliografske podrobnosti
Glavni avtor: Luo, Albert C. J. (Author)
Korporativna značnica: SpringerLink (Online service)
Format: Elektronski eKnjiga
Jezik:angleščina
Izdano: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Izdaja:1st ed. 2024.
Teme:
Dynamics.
Nonlinear theories.
Dynamical systems.
Multibody systems.
Vibration.
Mechanics, Applied.
Engineering mathematics.
Engineering > Data processing.
Universal algebra.
Applied Dynamical Systems.
Dynamical Systems.
Multibody Systems and Mechanical Vibrations.
Mathematical and Computational Engineering Applications.
General Algebraic Systems.
Online dostop:https://doi.org/10.1007/978-3-031-57104-6
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Opis
Izvleček:This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles. .
Fizični opis:1 online resource (X, 256 p. 42 illus.). 41 illus. in color.
ISBN:9783031571046
DOI:10.1007/978-3-031-57104-6

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