Two-dimensional Self and Product Cubic Systems, Vol. I : Self-linear and Crossing-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. I : Self-linear and Crossing-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 (239 pages) |
| Disciplina: | 515.39 |
| Soggetto topico: | Dynamics |
| Nonlinear theories | |
| Engineering mathematics | |
| Engineering - Data processing | |
| Algebra, Universal | |
| Multibody systems | |
| Vibration | |
| Mechanics, Applied | |
| Plasma waves | |
| Applied Dynamical Systems | |
| Mathematical and Computational Engineering Applications | |
| General Algebraic Systems | |
| Multibody Systems and Mechanical Vibrations | |
| Waves, instabilities and nonlinear plasma dynamics | |
| Nota di contenuto: | Crossing and Product cubic Systems -- Double-inflection Saddles and Parabola-saddles -- Three Parabola-saddle Series and Switching Dynamics -- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers -- Equilibrium Networks and Switching with Hyperbolic Flows. |
| Sommario/riassunto: | Back cover Materials Albert C J Luo Two-dimensional Self and Product Cubic Systems, Vol. I Self-linear and crossing-quadratic product vector field This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source. · Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows; · Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums. |
| Titolo autorizzato: | Two-Dimensional Self and Product Cubic Systems, Vol. I |
| ISBN: | 9783031570964 |
| 9783031570957 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910908380403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |