Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field

Luo, Albert C. J.

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)

Details

Published by: Springer

Publication Date: 2024-10-19

Format: Hardcover

ISBN-13: 9783031595738

DOI: 10.1007/978-3-031-59574-5

Dimensions: 235cm x155cm

Pages: 238