Name: Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field
Price: 5908.00 TWD
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Author: Luo, Albert C. J.
ISBN: 9783031571077

portada Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field

Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field

Type

Physical Book

Author

Albert C. J. Luo

Publisher

Springer

Language

English

Format

Hardcover

ISBN13

9783031571077

Synopsis "Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field"

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

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Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field - Luo, Albert C. J.

Synopsis "Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossingvariable Cubic Vector Field"

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