Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I (eBook, PDF)

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I (eBook, PDF)

A Self-univariate Cubic Vector Field

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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...

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