Albert C. J. Luo: Two-dimensional Product-Cubic Systems, Vol. I
Two-dimensional Product-Cubic Systems, Vol. I
Buch
- Constant and Linear Vector Fields
- Springer Nature Switzerland, 11/2024
- Einband: Gebunden, HC runder Rücken kaschiert
- Sprache: Englisch
- ISBN-13: 9783031570919
- Bestellnummer: 12066423
- Umfang: 260 Seiten
- Gewicht: 606 g
- Maße: 241 x 160 mm
- Stärke: 19 mm
- Erscheinungstermin: 1.11.2024
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
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.