Two-dimensional Self and Product Cubic Systems, Vol. II : Crossing-linear and Self-quadratic Product Vector Field / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Self 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, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (X, 238 p. 46 illus., 45 illus. in color.) |
| Disciplina: | 515.39 |
| Soggetto topico: | 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 | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Two-dimensional Self and Product Cubic Systems, Vol. II |
| ISBN: | 3-031-59574-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910897991203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |