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Book synopsis

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.

Book details

Book category Books in English Technology, engineering, agriculture Technology: general issues Maths for engineers

• Full title: Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I
• Subtitle: A Self-univariate Cubic Vector Field
• Author: Albert C. J. Luo
• Language: English
• Binding: Hardback
• Number of pages: 448
• EAN: 9783031484711
• ID: 44352888
• Publisher: Springer, Berlin
• Weight: 859 g
• Dimensions: 235 × 155 mm
• Published: 2024

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