Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II
Springer International Publishing (Verlag)
978-3-031-57107-7 (ISBN)
- Noch nicht erschienen - erscheint am 11.12.2024
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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
Dr. Albert C. J. Luo is Distinguished Research Professor in the Department of Mechanical Engineering, Southern Illinois University Edwardsville, Edwardsville, IL.
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.
| Erscheinungsdatum | 11.09.2024 |
|---|---|
| Zusatzinfo | IX, 240 p. 44 illus., 40 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik | |
| Schlagworte | 1-dimensional flow singularity and bifurcations • Constant and crossing-cubic systems • Self-linear and crossing-cubic systems • Self-quadratic and crossing-cubic systems • Third-order parabola and inflection flows |
| ISBN-10 | 3-031-57107-X / 303157107X |
| ISBN-13 | 978-3-031-57107-7 / 9783031571077 |
| Zustand | Neuware |
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