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

Luo, Albert C. J.

Springer International Publishing AG（2025/03発売）

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製本 Hardcover:ハードカバー版／ページ数 259 p.
言語 ENG
商品コード 9783031570995
DDC分類 620.00151

Full Description

This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).

Quadratic and Cubic Product Systems.- Inflection Singularity and Bifurcation Dynamics.- Saddle-node and hyperbolic-flow singular dynamics.