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Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-Univariate Cubic Vector Field

Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-Univariate Cubic Vector Field

Paperback

Technology & EngineeringGeneral Mathematics

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ISBN10: 3031484746
ISBN13: 9783031484742
Publisher: Springer
Published: Nov 1 2025
Pages: 437
Language: English

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.

Also from

Luo, Albert C. J.

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General Mathematics