Two-dimensional Product-Cubic Systems, Vol. I : Constant and Linear Vector Fields / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Product-Cubic Systems, Vol. I : Constant and Linear Vector Fields / / by Albert C. J. Luo
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (257 pages) |
| Disciplina: | 530.44 |
| Soggetto topico: | Plasma waves |
| Multibody systems | |
| Vibration | |
| Mechanics, Applied | |
| Dynamics | |
| Nonlinear theories | |
| Mathematics - Data processing | |
| Waves, instabilities and nonlinear plasma dynamics | |
| Multibody Systems and Mechanical Vibrations | |
| Applied Dynamical Systems | |
| Engineering Mechanics | |
| Computational Science and Engineering | |
| Nota di contenuto: | Constant and Product-Cubic Systems -- Self-linear and Product-cubic systems -- Crossing-linear and Product-cubic systems. |
| Sommario/riassunto: | 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. . |
| Titolo autorizzato: | Two-Dimensional Product-Cubic Systems, Vol. I |
| ISBN: | 9783031570926 |
| 3031570928 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910903792103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |