株式会社極東書店トップ商品一覧Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field. 2024 ed.

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Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field. 2024 ed.

Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field. 2024 ed.

・ISBN 978-3-031-59573-8 hard EUR 181.89

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お気に入り
著者・編者Luo, Albert C. J.,
出版社 (Springer International Publishing AG, SZ)
出版年月2024
ページ数238 pp.
言語ENG
ニュース番号<A02-94428>

解説

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)