03612nam a22006495i 4500 978-3-031-57104-6 DE-He213 20251030113252.0 cr nn 008mamaa 241031s2024 sz | s |||| 0|eng d 9783031571046 978-3-031-57104-6 10.1007/978-3-031-57104-6 doi TA352-356 QC20.7.N6 TBJ bicssc GPFC bicssc SCI064000 bisacsh TBJ thema GPFC thema Luo, Albert C. J. author. aut http://id.loc.gov/vocabulary/relators/aut 81241 Two-dimensional Product-Cubic Systems, Vol. IV [electronic resource] : Crossing-quadratic Vector Fields / by Albert C. J. Luo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 256 p. 42 illus., 41 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preface -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation. This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles. . Dynamics. 65524 Nonlinear theories. 65525 Dynamical systems. Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Engineering mathematics. 64145 Engineering Data processing. Universal algebra. 75551 Applied Dynamical Systems. 65530 Dynamical Systems. Multibody Systems and Mechanical Vibrations. 66048 Mathematical and Computational Engineering Applications. General Algebraic Systems. 75552 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031571039 Printed edition: 9783031571053 Printed edition: 9783031571060 https://doi.org/10.1007/978-3-031-57104-6 ZDB-2-ENG ZDB-2-SXE 64612 64612