Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II A Crossing-variable 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...
Wedi'i Gadw mewn:
| Prif Awdur: | |
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| Awdur Corfforaethol: | |
| Fformat: | Electronig eLyfr |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Rhifyn: | 1st ed. 2024. |
| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.1007/978-3-031-57108-4 |
| Tagiau: |
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| Crynodeb: | 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. . |
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| Disgrifiad Corfforoll: | IX, 240 p. 44 illus., 40 illus. in color. online resource. |
| ISBN: | 9783031571084 |
| DOI: | 10.1007/978-3-031-57108-4 |