Two-dimensional Product-Cubic Systems, Vol. IV Crossing-quadratic Vector Fields /
Luo, Albert C. J.
Two-dimensional Product-Cubic Systems, Vol. IV Crossing-quadratic Vector Fields / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 256 p. 42 illus., 41 illus. in color. online resource.
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. .
9783031571046
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
515.39
Two-dimensional Product-Cubic Systems, Vol. IV Crossing-quadratic Vector Fields / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 256 p. 42 illus., 41 illus. in color. online resource.
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. .
9783031571046
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
515.39
