Two-dimensional Product-Cubic Systems, Vol. I
Constant and Linear Vector Fields
Buch in deiner Nähe kaufen
Beschreibung
This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center.
Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations.
- Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields;
- Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow;
- Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow.
This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center.
Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations.
Develops a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields Presents inflection-source (sink) infinite-equilibriums for the switching of a connected hyperbolic flow Presents inflection-sink (source) infinite-equilibriums for the switching of a paralleled hyperbolic flow
Autor*in
Albert C. J. Luo
Themen in »Two-dimensional Product-Cubic Systems, Vol. I«
Constant and product-cubic systems Linear-univariate and product-cubic systems Hyperbolic and hyperbolic-secant flows Connected hyperbolic and hyperbolic-secant flows Separated hyperbolic and hyperbolic-secant flows Inflection-source (sink) Infinite-equilibriums I Infinite-equilibrium switching bifurcations Inflection-sinks and sources Parabola-saddle bifurcations Saddle-source (sink) bifurcations