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Book synopsis

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

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 II
• Subtitle: A Crossing-variable Cubic Vector Field. DE
• Author: Albert C. J. Luo
• Language: English
• Binding: Paperback
• Number of pages: 240
• EAN: 9783031571107
• ID: 50122980
• Publisher: Springer, Berlin
• Weight: 388 g
• Dimensions: 13 × 155 × 235 mm
• Published: 2025

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