Product details:

ISBN13:9783031484902
ISBN10:3031484908
Binding:Hardback
No. of pages:252 pages
Size:235x155 mm
Language:English
Illustrations: 1 Illustrations, black & white; 97 Illustrations, color
700
Category:

Cubic Dynamical Systems, Vol. X

Two-dimensional Two-product Cubic Systems Crossing-linear and Self-quadratic Product Vector Fields
 
Edition number: 2024
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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Short description:

?This book, the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:

? Inflection-saddle infinite-equilibriums,

? Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums

? Up-down and down-up saddle infinite-equilibriums,

? Inflection-source (sink) infinite-equilibriums.

  • Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product dynamical systems;
  • Shows hybrid networks of singular/simple equilibriums and hyperbolic flows in two same structure product-cubic systems;
  • Presents network switching bifurcations through infinite-equilibriums of inflection-saddles hyperbolic-sink and source.



Long description:

This book, the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:

? Inflection-saddle infinite-equilibriums,

? Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums

? Up-down and down-up saddle infinite-equilibriums,

? Inflection-source (sink) infinite-equilibriums.

 

 

Table of Contents:

Preface.- Crossing-linear and Self-quadratic Product Systems.- Double-saddles and switching dynamics.- Vertically Paralleled Saddle-source and Saddle-sink.- Horizontally Paralleled Saddle-source and Saddle-sink.- Simple Equilibrium Networks and Switching Dynamics.