Two-dimensional Two-product Cubic Systems Vol.II : Crossing-linear and Self-quadratic Product Vector Fields （2025. x, 322 S. X, 322 p. 98 illus. 235 mm）

Luo, Albert C. J.

SPRINGER, BERLIN; SPRINGER NATURE SWITZERLAND; SPRING（2025発売）

• 製本 Paperback:紙装版/ペーパーバック版
• 商品コード 9783031484933

Full 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.

 

 

 

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.