Two-dimensional Self and Product Cubic Systems, Vol. II

Two-dimensional Self and Product Cubic Systems, Vol. II

by Albert C. J. Luo
Epub (Kobo), Epub (Adobe)
Publication Date: 18/10/2024

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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)

ISBN:
9783031595745
9783031595745
Category:
Cybernetics & systems theory
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
18-10-2024
Language:
English
Publisher:
Springer Nature Switzerland

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