04343nam 22007215 450 991090379940332120250808093414.09783031484872303148487810.1007/978-3-031-48487-2(MiAaPQ)EBC31755507(Au-PeEL)EBL31755507(CKB)36514421400041(DE-He213)978-3-031-48487-2(EXLCZ)993651442140004120241105d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTwo-dimensional Two-product Cubic Systems, Vol I Different Product Structure Vector Fields /by Albert C. J. Luo1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (342 pages)Includes index.9783031484865 303148486X 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.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.DynamicsNonlinear theoriesEngineering mathematicsEngineeringData processingMultibody systemsVibrationMechanics, AppliedAlgebra, UniversalApplied Dynamical SystemsMathematical and Computational Engineering ApplicationsMultibody Systems and Mechanical VibrationsGeneral Algebraic SystemsDynamics.Nonlinear theories.Engineering mathematics.EngineeringData processing.Multibody systems.Vibration.Mechanics, Applied.Algebra, Universal.Applied Dynamical Systems.Mathematical and Computational Engineering Applications.Multibody Systems and Mechanical Vibrations.General Algebraic Systems.512.82Luo Albert C. J.720985MiAaPQMiAaPQMiAaPQBOOK9910903799403321Two-dimensional Two-product Cubic Systems, Vol I4435673UNINA