E-Book, Englisch, 437 Seiten, eBook
Luo Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I
1. Auflage 2024
ISBN: 978-3-031-48472-8
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Self-univariate Cubic Vector Field
E-Book, Englisch, 437 Seiten, eBook
ISBN: 978-3-031-48472-8
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book is 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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.