00822nam0-2200301---450-99000963418040332120130222104356.0000963418FED01000963418(Aleph)000963418FED0100096341820121016d1958----km-y0itay50------bafreFRa-------001yyPrécis de pétrographieroches sédimentaires métamorphiques et éruptivesJean Jung1958ParisMasson et C.ie1958314 p.ill.25 cmPetrografiaJung,Jean517873ITUNINARICAUNIMARCBK99000963418040332102/21s.i.DINGEDINGEPrécis de pétrographie847933UNINA03324nam 22006135 450 991090379900332120250808083502.03-031-48472-X10.1007/978-3-031-48472-8(CKB)36443154000041(MiAaPQ)EBC31747193(Au-PeEL)EBL31747193(DE-He213)978-3-031-48472-8(EXLCZ)993644315400004120241031d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierTwo-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I A Self-univariate Cubic Vector Field /by Albert C. J. Luo1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (442 pages)3-031-48471-1 Chapter 1 Constant and Self-cubic Vector fields -- Chapter 2 Crossing-linear and Self-cubic Vector Fields -- Chapter 3 Crossing-quadratic and Self-Cubic Vector Fields -- Chapter 4 Two Single-variable Cubic Vector Fields.This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows. Develops the theory for 1-dimensonal flow singularity and bifurcations to elucidate dynamics of nonlinear systems; Provides a new research direction in nonlinear dynamics community; Shows how singularity and bifurcations occur not only for equilibriums and attractors but also for 1-dimensional flows.Engineering mathematicsMechanics, AppliedDynamicsNonlinear theoriesSystem theoryEngineering MathematicsEngineering MechanicsApplied Dynamical SystemsComplex SystemsEngineering mathematics.Mechanics, Applied.Dynamics.Nonlinear theories.System theory.Engineering Mathematics.Engineering Mechanics.Applied Dynamical Systems.Complex Systems.003.75Luo Albert C. J720985MiAaPQMiAaPQMiAaPQBOOK9910903799003321Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I4272961UNINA