Two-dimensional Product-Cubic Systems, Vol. IV : Crossing-quadratic Vector Fields / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Product-Cubic Systems, Vol. IV : Crossing-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 (262 pages) |
| Disciplina: | 515.39 |
| Soggetto topico: | Dynamics |
| Nonlinear theories | |
| Multibody systems | |
| Vibration | |
| Mechanics, Applied | |
| Engineering mathematics | |
| Engineering - Data processing | |
| Algebra, Universal | |
| Applied Dynamical Systems | |
| Dynamical Systems | |
| Multibody Systems and Mechanical Vibrations | |
| Mathematical and Computational Engineering Applications | |
| General Algebraic Systems | |
| Nota di contenuto: | Preface -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation. |
| Sommario/riassunto: | This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles. . |
| Titolo autorizzato: | Two-dimensional Product-Cubic Systems, Vol. IV |
| ISBN: | 3-031-57104-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910903790203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |