Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II
A Crossing-variable Cubic Vector Field
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Beszerezhetőség
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A termék adatai:
- Kiadás sorszáma 2024
- Kiadó Springer
- Megjelenés dátuma 2024. november 20.
- Kötetek száma 1 pieces, Book
- ISBN 9783031571077
- Kötéstípus Keménykötés
- Terjedelem240 oldal
- Méret 235x155 mm
- Nyelv angol
- Illusztrációk 4 Illustrations, black & white; 40 Illustrations, color 664
Kategóriák
Rövid leírás:
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.
Hosszú leírás:
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
Tartalomjegyzék:
Constant and Self-Cubic Vector fields.- Self-linear and Self-cubic vector fields.- Self-quadratic and self-cubic vector fields .- Two self-cubic vector fields.
Több
