Two-dimensional Product Cubic Systems, Vol. VII Self- Quadratic Vector Fields /
Luo, Albert C. J.
Two-dimensional Product Cubic Systems, Vol. VII Self- Quadratic Vector Fields / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 232 p. 47 illus., 46 illus. in color. online resource.
Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.
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. .
9783031484834
Multibody systems.
Vibration.
Mechanics, Applied.
Dynamics.
Nonlinear theories.
Stochastic analysis.
Multibody Systems and Mechanical Vibrations.
Applied Dynamical Systems.
Engineering Mechanics.
Stochastic Analysis.
TA352-356
620.3
Two-dimensional Product Cubic Systems, Vol. VII Self- Quadratic Vector Fields / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 232 p. 47 illus., 46 illus. in color. online resource.
Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.
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. .
9783031484834
Multibody systems.
Vibration.
Mechanics, Applied.
Dynamics.
Nonlinear theories.
Stochastic analysis.
Multibody Systems and Mechanical Vibrations.
Applied Dynamical Systems.
Engineering Mechanics.
Stochastic Analysis.
TA352-356
620.3
