Two-Dimensional Constant and Product Polynomial Systems

By Albert C. J. Luo

This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.

• Format: Hardcover
• Language: English
• ISBN: 9819655145
• ISBN13: 9789819655144
• Release Date: August 2025
• Publisher: Springer
• Length: 126 Pages
• Weight: 0.85 lbs.
• Dimensions: 0.5" x 6.5" x 9.4"