Different Product Structure Vector Fields Luo, Albert C. J. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access X, 336 p. 55 illus., 54 illus. in color. online resource. 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. Develops a theory of nonlinear dynamics and singularity of two-different product-cubic dynamical systems; Presents networks of singular and simple equilibriums and hyperbolic flows in such different structure product-cubic systems; Reveals network switching bifurcations through infinite-equilibriums of parabola-source (sink) and parabola-saddles. Chapter 1 Cubic Systems with Two different Product Structures -- Chapter 2 Parabola-saddle and Saddle-source (sink) Singularity -- Chapter 3 Inflection-source (sink) flows and parabola-saddles -- Chapter 4Saddle-source (sink) with hyperbolic flow singularity -- Chapter 5 Equilibrium matrices with hyperbolic flows. by Albert C. J. Luo. Dynamics Nonlinear theories Engineering mathematics Engineering Data processing Multibody systems Vibration Mechanics, Applied Universal algebra Applied Dynamical Systems Mathematical and Computational Engineering Applications Multibody Systems and Mechanical Vibrations General Algebraic Systems TA352-356 QC20.7.N6 9783031484872 https://doi.org/10.1007/978-3-031-48487-2 https://doi.org/10.1007/978-3-031-48487-2 241105 20251030113258.0 978-3-031-48487-2