03266nam 22006495 450 991089798020332120250807152849.03-031-48483-510.1007/978-3-031-48483-4(CKB)36383232500041(MiAaPQ)EBC31735074(Au-PeEL)EBL31735074(DE-He213)978-3-031-48483-4(EXLCZ)993638323250004120241021d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierTwo-dimensional Product Cubic Systems, Vol. VII Self- Quadratic Vector Fields /by Albert C. J. Luo1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (240 pages)Includes index.3-031-48482-7 Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.This book, the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: • inflection-saddle infinite-equilibriums, • hyperbolic-source (sink) infinite-equilibriums, • up-down (down-up) saddle infinite-equilibriums, • inflection-source (sink) infinite-equilibriums. Develops a theory of cubic dynamical systems possessing a product-cubic vector field and a self-quadratic vector field; Finds series/networks of equilibriums, 1-dimenional hyperbolic/hyperbolic-secant flows, finite-equilibrium switching; Presents sink and source separated by a connected hyperbolic-secant flow, and the (SO,SI) and (SI,SO)-saddles. .Multibody systemsVibrationMechanics, AppliedDynamicsNonlinear theoriesStochastic analysisMultibody Systems and Mechanical VibrationsApplied Dynamical SystemsEngineering MechanicsStochastic AnalysisMultibody systems.Vibration.Mechanics, Applied.Dynamics.Nonlinear theories.Stochastic analysis.Multibody Systems and Mechanical Vibrations.Applied Dynamical Systems.Engineering Mechanics.Stochastic Analysis.512.82Luo Albert C. J.720985MiAaPQMiAaPQMiAaPQBOOK9910897980203321Two-Dimensional Product Cubic Systems, Vol. VII4211508UNINA