Two-Dimensional Constant and Product Polynomial Systems
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Beschreibung
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.
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.
Provides systematic exploration of constant and product polynomial systems Examines unique flow dynamics, such as hyperbolic-secant flow Provides essential illustrations to aid understanding for advanced academic use
Autor*in
Albert C. J. Luo
Themen in »Two-Dimensional Constant and Product Polynomial Systems«
Constant and product polynomial systems Singular hyperbolic and hyperbolic-secant flows Singular hyperbolic-to-hyperbolic-secant flows Singular inflection source, sink and saddle flows Hyperbolic and hyperbolic-secant flows networks Polynomial Systems