03696nam 22007095 450 991089799120332120250808090225.09783031595745303159574210.1007/978-3-031-59574-5(CKB)36383778900041(DE-He213)978-3-031-59574-5(MiAaPQ)EBC31733342(Au-PeEL)EBL31733342(EXLCZ)993638377890004120241018d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierTwo-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field /by Albert C. J. Luo1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (X, 238 p. 46 illus., 45 illus. in color.) 9783031595738 3031595734 Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.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.003Luo Albert C. J.720985MiAaPQMiAaPQMiAaPQBOOK9910897991203321Two-dimensional Self and Product Cubic Systems, Vol. II4214408UNINA