Two-Dimensional Constant and Product Polynomial Systems

Luo, Albert C. J.

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.

Details

Published by: Springer

Publication Date: 2025-08-02

Format: Hardcover

ISBN-13: 9789819655144

DOI: 10.1007/978-981-96-5515-1

Dimensions: 235cm x155cm

Pages: 126