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portada Cubic Dynamical Systems, Vol. IX: Two-Dimensional Two-Product Cubic Systems with Different Product Structure Vector Fields
Type
Physical Book
Author
Publisher
Language
English
Format
Hardcover
ISBN13
9783031484865
Categories

Cubic Dynamical Systems, Vol. IX: Two-Dimensional Two-Product Cubic Systems with Different Product Structure Vector Fields

Albert C. J. Luo (Author) · Springer · Hardcover

Cubic Dynamical Systems, Vol. IX: Two-Dimensional Two-Product Cubic Systems with Different Product Structure Vector Fields - Luo, Albert C. J.

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Synopsis "Cubic Dynamical Systems, Vol. IX: Two-Dimensional Two-Product Cubic Systems with Different Product Structure Vector Fields"

This book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques.- Two-different product-cubic systems- Hybrid networks of higher-order equilibriums and flows- Hybrid series of simple equilibriums and hyperbolic flows- Higher-singular equilibrium appearing bifurcations- Higher-order singular flow appearing bifurcations- Parabola-source (sink) infinite-equilibriums- Parabola-saddle infinite-equilibriums- Inflection-saddle infinite-equilibriums- Inflection-source (sink) infinite-equilibriums- Infinite-equilibrium switching bifurcations.

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