Two-dimensional Crossing and Product Cubic Systems, Vol. II : Crossing-linear and Self-quadratic Product Vector Field / / by Albert C. J. Luo
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Crossing and Product Cubic Systems, Vol. II : Crossing-linear and Self-quadratic Product Vector Field / / by Albert C. J. Luo
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (X, 259 p. 83 illus., 82 illus. in color.) |
| Disciplina: | 515.39 |
| Soggetto topico: | Dynamics |
| Nonlinear theories | |
| Engineering mathematics | |
| Engineering - Data processing | |
| Multibody systems | |
| Vibration | |
| Mechanics, Applied | |
| Plasma waves | |
| Algebra, Universal | |
| Applied Dynamical Systems | |
| Mathematical and Computational Engineering Applications | |
| Multibody Systems and Mechanical Vibrations | |
| Waves, instabilities and nonlinear plasma dynamics | |
| General Algebraic Systems | |
| Nota di contenuto: | Quadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics. |
| Sommario/riassunto: | This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al. |
| Titolo autorizzato: | Two-dimensional Crossing and Product Cubic Systems, Vol. II |
| ISBN: | 9783031571008 |
| 3031571002 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910992790903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |