Two-dimensional Two-product Cubic Systems Vol. X
Crossing-linear and Self-quadratic Product Vector Fields
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Product details:
- Edition number 2024
- Publisher Springer
- Date of Publication 25 July 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031484902
- Binding Hardback
- No. of pages320 pages
- Size 235x155 mm
- Language English
- Illustrations 1 Illustrations, black & white; 97 Illustrations, color 0
Categories
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 is 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.
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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.
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