Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II : A Crossing-variable Cubic Vector Field / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II : A Crossing-variable Cubic Vector Field / / by Albert C. J. Luo
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (246 pages) |
| Disciplina: | 515.39 |
| Soggetto topico: | Dynamics |
| Nonlinear theories | |
| Engineering mathematics | |
| Engineering - Data processing | |
| Functions of complex variables | |
| Plasma waves | |
| Applied Dynamical Systems | |
| Mathematical and Computational Engineering Applications | |
| Several Complex Variables and Analytic Spaces | |
| Dynamical Systems | |
| Waves, instabilities and nonlinear plasma dynamics | |
| Nota di contenuto: | Constant and Self-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields -- Two self-cubic vector fields. |
| Sommario/riassunto: | This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Explains infinite-equilibriums for the switching of the first-order sink and source flows. . |
| Titolo autorizzato: | Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II |
| ISBN: | 9783031571084 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910908362503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |