E-Book, Englisch, 240 Seiten, eBook
Luo Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II
1. Auflage 2024
ISBN: 978-3-031-57108-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Crossing-variable Cubic Vector Field
E-Book, Englisch, 240 Seiten, eBook
ISBN: 978-3-031-57108-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.