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

By Luo, Albert C. J.

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

By Luo, Albert C. J.

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Description
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
Product details
Binding:
Paperback
Number of Pages:
252
Release Date:
2025-11-20
Publication Date:
2025-11-20
Publisher:
Springer
Languages:
Original: English
ISBN10:
303157110X
ISBN13:
9783031571107
GPSR Manufacturer Reference:
[email protected]
Weight:
388 g
Height:
155 cm
Width:
235 cm
Thickness:
14 cm
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