Crossing-quadratic Vector Fields Luo, Albert C. J. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access X, 256 p. 42 illus., 41 illus. in color. online resource. 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. . Preface -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation. by Albert C. J. Luo. Dynamics Nonlinear theories Dynamical systems Multibody systems Vibration Mechanics, Applied Engineering mathematics Engineering Data processing Universal algebra Applied Dynamical Systems Dynamical Systems Multibody Systems and Mechanical Vibrations Mathematical and Computational Engineering Applications General Algebraic Systems TA352-356 QC20.7.N6 9783031571046 https://doi.org/10.1007/978-3-031-57104-6 https://doi.org/10.1007/978-3-031-57104-6 241031 20251030113252.0 978-3-031-57104-6