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

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...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Luo, Albert C. J. (Зохиогч)
Байгууллагын зохиогч: SpringerLink (Online service)
Формат: Цахим Цахим ном
Хэл сонгох:англи
Хэвлэсэн: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Хэвлэл:1st ed. 2025.
Нөхцлүүд:
Онлайн хандалт:https://doi.org/10.1007/978-3-031-57100-8
Шошгууд: Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!

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505 0 |a Quadratic and Cubic Product Systems -- Inflection Singularity and Bifurcation Dynamics -- Saddle-node and hyperbolic-flow singular dynamics. 
520 |a 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). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al. 
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