Self- 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

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access X, 232 p. 47 illus., 46 illus. in color. online resource. 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. . Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations. by Albert C. J. Luo. Multibody systems Vibration Mechanics, Applied Dynamics Nonlinear theories Stochastic analysis Multibody Systems and Mechanical Vibrations Applied Dynamical Systems Engineering Mechanics Stochastic Analysis TA352-356 9783031484834 https://doi.org/10.1007/978-3-031-48483-4 https://doi.org/10.1007/978-3-031-48483-4 241021 20251030113237.0 978-3-031-48483-4