Two-Dimensional Self and Product Cubic Systems, Vol. II: Crossing-Linear and Self-Quadratic Product Vector Field

By Tom Jackson

Book Overview

This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are:

saddle-source (sink)

hyperbolic-to-hyperbolic-secant flows

double-saddle

third-order saddle, sink and source

third-order saddle-source (sink)

• Format: Paperback
• Language: English
• ISBN: 1627950745
• ISBN13: 9781627950749
• Release Date: May 2017
• Publisher: Shelter Harbor Press
• Length: 184 Pages
• Weight: 0.70 lbs.
• Dimensions: 0.7" x 7.5" x 8.9"
• Age Range: 13 years and up
• Grade Range: Grade 8 and higher