Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field /
This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discusse...
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edizioa: | 1st ed. 2024. |
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| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-031-59574-5 |
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| Gaia: | This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows. |
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| Deskribapen fisikoa: | 1 online resource (X, 238 p. 46 illus.). 45 illus. in color. |
| ISBN: | 9783031595745 |
| DOI: | 10.1007/978-3-031-59574-5 |