Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I : A Self-univariate 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. I : A Self-univariate 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 (442 pages) |
| Disciplina: | 003.75 |
| Soggetto topico: | Engineering mathematics |
| Mechanics, Applied | |
| Dynamics | |
| Nonlinear theories | |
| System theory | |
| Engineering Mathematics | |
| Engineering Mechanics | |
| Applied Dynamical Systems | |
| Complex Systems | |
| Nota di contenuto: | Chapter 1 Constant and Self-cubic Vector fields -- Chapter 2 Crossing-linear and Self-cubic Vector Fields -- Chapter 3 Crossing-quadratic and Self-Cubic Vector Fields -- Chapter 4 Two Single-variable Cubic Vector Fields. |
| Sommario/riassunto: | This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. 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-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows. Develops the theory for 1-dimensonal flow singularity and bifurcations to elucidate dynamics of nonlinear systems; Provides a new research direction in nonlinear dynamics community; Shows how singularity and bifurcations occur not only for equilibriums and attractors but also for 1-dimensional flows. |
| Titolo autorizzato: | Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I |
| ISBN: | 3-031-48472-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910903799003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |