Two-dimensional Self-independent Variable Cubic Nonlinear Systems / / by Albert C. J. Luo
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| Autore: |
Luo Albert C. J
|
| Titolo: |
Two-dimensional Self-independent Variable Cubic Nonlinear Systems / / by Albert C. J. Luo
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (282 pages) |
| Disciplina: | 530.44 |
| Soggetto topico: | Plasma waves |
| Dynamics | |
| Nonlinear theories | |
| Mechanics, Applied | |
| Multibody systems | |
| Vibration | |
| Waves, instabilities and nonlinear plasma dynamics | |
| Applied Dynamical Systems | |
| Engineering Mechanics | |
| Multibody Systems and Mechanical Vibrations | |
| 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 is the third of 15 related monographs, presents systematically a theory of self-cubic nonlinear systems. Here, at least one vector field is self-cubic, the other vector fields can be constant, self-linear, self-quadratic, and self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems, the dynamical systems possess source, sink, and saddle equilibriums, saddle-source and saddle-sink equilibriums, third-order source and sink (i.e., ( 3rdSO:SO)-source, ( 3rdSI:SI)-sink) and third-order saddle (i.e., (3rdSO:SI)-saddle, 3rdSI:SO)-saddle). For self-quadratic and self-cubic systems, in addition to the first and third-order source, sink, saddles plus saddle-source, saddle-sink, there are (3,2)-saddle-sink, (3,2)-saddle-source and double-saddles, and for the two self-cubic systems, double third-order source, sink and saddles exist. Finally, the authors describes thar the homoclinic orbits without cen-ters can be formed, and the corresponding homoclinic networks of source, sink and saddles exist. • Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; • Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; • Develops homoclinic networks of source, sink and saddles. . |
| Titolo autorizzato: | Two-dimensional Self-independent Variable Cubic Nonlinear Systems |
| ISBN: | 9783031571121 |
| 9783031571114 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910906292803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |