
Başlık:
Two-dimensional Self and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field
Yazar:
Luo, Albert C. J. author.
ISBN:
9783031595745
Basım Bilgisi:
1st ed. 2024.
Fiziksel Tanımlama:
X, 238 p. 46 illus., 45 illus. in color. online resource.
Özet:
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.
Konu Terimleri:
Tüzel Kişi Ek Girişi:
Elektronik Erişim:
https://doi.org/10.1007/978-3-031-59574-5Kopya:
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