Two-dimensional Product-Cubic Systems, Vol. IV: Crossing-quadratic Vector Fields

Luo, Albert C. J.

This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink).  The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:

• Parabola-source (sink) infinite-equilibriums,
• Inflection-source (sink) infinite-equilibriums,
• Hyperbolic (circular) sink-to source infinite-equilibriums,
• Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.

Details

Published by: Springer

Publication Date: 2024-10-31

Format: Hardcover

ISBN-13: 9783031571039

DOI: 10.1007/978-3-031-57104-6

Dimensions: 235cm x155cm

Pages: 256