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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II

A Crossing-variable Cubic Vector Field

Springer

ISBN 978-3-031-57107-7

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Bibliografische Daten

Fachbuch

Buch. Hardcover

2024

4 s/w-Abbildungen, 40 Farbabbildungen, Bibliographien.

In englischer Sprache

Umfang: ix, 240 S.

Format (B x L): 15,5 x 23,5 cm

Verlag: Springer

ISBN: 978-3-031-57107-7

Produktbeschreibung

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 - Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; - Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; - Explains infinite-equilibriums for the switching of the first-order sink and source flows.

Autorinnen und Autoren

Kundeninformationen

Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations Explains infinite-equilibriums for the switching of the first-order sink and source flows

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