Two-dimensional Two-product Cubic Systems, Vol I: Different Product Structure Vector Fields by Albert C. J. Luo
English | PDF EPUB (True) | 2024 | 342 Pages | ISBN : 303148486X | 70 MB
This book is 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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