Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031484711
Total Pages : 0 pages
Book Rating : 4.4/5 (847 download)
Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I by : Albert C. J. Luo
Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I written by Albert C. J. Luo and published by Springer. This book was released on 2024-07-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.