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Two-Dimensional Single-Variable Cubic Nonlinear Systems, Vol II
A Crossing-Variable Cubic Vector Field
Albert C J Luo
Hardcover | Engels
€ 274,95
+ 549 punten
Omschrijving
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
Specificaties
Betrokkenen
- Auteur(s):
- Uitgeverij:
Inhoud
- Aantal bladzijden:
- 240
- Taal:
- Engels
Eigenschappen
- Productcode (EAN):
- 9783031571077
- Verschijningsdatum:
- 20/11/2024
- Uitvoering:
- Hardcover
- Formaat:
- Genaaid
- Afmetingen:
- 163 mm x 237 mm
- Gewicht:
- 571 g
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