Two-dimensional Two Product Cubic Systems, Vol. III: Self-linear and Crossing Quadratic Product Vector Fields

By Albert C. J. Luo

This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.

• Format: Paperback
• Language: English
• ISBN: 3031595610
• ISBN13: 9783031595615
• Release Date: October 2025
• Publisher: Springer
• Length: 296 Pages
• Weight: 1.00 lbs.
• Dimensions: 9.3" x 0.7" x 6.1"