Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field /
Luo, Albert C. J.
Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 238 p. 46 illus., 45 illus. in color. online resource.
Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.
This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
9783031595745
Dynamics.
Nonlinear theories.
Engineering mathematics.
Engineering--Data processing.
Multibody systems.
Vibration.
Mechanics, Applied.
Universal algebra.
Applied Dynamical Systems.
Mathematical and Computational Engineering Applications.
Multibody Systems and Mechanical Vibrations.
General Algebraic Systems.
TA352-356 QC20.7.N6
515.39
Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field / [electronic resource] : by Albert C. J. Luo. - 1st ed. 2024. - X, 238 p. 46 illus., 45 illus. in color. online resource.
Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics.
This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
9783031595745
Dynamics.
Nonlinear theories.
Engineering mathematics.
Engineering--Data processing.
Multibody systems.
Vibration.
Mechanics, Applied.
Universal algebra.
Applied Dynamical Systems.
Mathematical and Computational Engineering Applications.
Multibody Systems and Mechanical Vibrations.
General Algebraic Systems.
TA352-356 QC20.7.N6
515.39
