Two-dimensional Product Cubic Systems, Vol. VII : Self- Quadratic Vector Fields / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J.
|
| Titolo: |
Two-dimensional Product Cubic Systems, Vol. VII : Self- Quadratic Vector Fields / / by Albert C. J. Luo
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (240 pages) |
| Disciplina: | 512.82 |
| Soggetto topico: | Multibody systems |
| Vibration | |
| Mechanics, Applied | |
| Dynamics | |
| Nonlinear theories | |
| Stochastic analysis | |
| Multibody Systems and Mechanical Vibrations | |
| Applied Dynamical Systems | |
| Engineering Mechanics | |
| Stochastic Analysis | |
| Note generali: | Includes index. |
| Nota di contenuto: | Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations. |
| Sommario/riassunto: | This book, the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: • inflection-saddle infinite-equilibriums, • hyperbolic-source (sink) infinite-equilibriums, • up-down (down-up) saddle infinite-equilibriums, • inflection-source (sink) infinite-equilibriums. Develops a theory of cubic dynamical systems possessing a product-cubic vector field and a self-quadratic vector field; Finds series/networks of equilibriums, 1-dimenional hyperbolic/hyperbolic-secant flows, finite-equilibrium switching; Presents sink and source separated by a connected hyperbolic-secant flow, and the (SO,SI) and (SI,SO)-saddles. . |
| Titolo autorizzato: | Two-Dimensional Product Cubic Systems, Vol. VII |
| ISBN: | 3-031-48483-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910897980203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |