Two-dimensional Product-Cubic Systems, Vol. IV - Luo, Albert C. J.; - Prospero Internet Bookshop
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Product details:
ISBN13:9783031571039
ISBN10:3031571037
Binding:Hardback
No. of pages:256 pages
Size:235x155 mm
Language:English
Illustrations: 1 Illustrations, black & white; 41 Illustrations, color
700
Category:

Two-dimensional Product-Cubic Systems, Vol. IV

Crossing-quadratic Vector Fields
 
Edition number: 2024
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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EUR 171.19
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Short description:

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. 

Long description:

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.

Table of Contents:

Preface .- Crossing-quadratic and product-cubic systems.- Double-inflection-saddles and bifurcation dynamics.- Parabola-saddles and bifurcation.