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Two-dimensional self and product cubic systems.. Vol. I,. Self-linear and crossing-quadratic product vector field

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Two-dimensional self and product cubic systems./ by Albert C. J. Luo.
其他題名:	Self-linear and crossing-quadratic product vector field
作者:	Luo, Albert C. J.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	x, 232 p. :ill. (some col.), digital ;24 cm.
內容註:	Crossing and Product cubic Systems -- Double-inflection Saddles and Parabola-saddles -- Three Parabola-saddle Series and Switching Dynamics -- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers -- Equilibrium Networks and Switching with Hyperbolic Flows.
Contained By:	Springer Nature eBook
標題:	Nonlinear systems. -
電子資源:	https://doi.org/10.1007/978-3-031-57096-4
ISBN:	9783031570964

Two-dimensional self and product cubic systems.. Vol. I,. Self-linear and crossing-quadratic product vector field
Luo, Albert C. J.

Two-dimensional self and product cubic systems.Vol. I,Self-linear and crossing-quadratic product vector field[electronic resource] /Self-linear and crossing-quadratic product vector fieldby Albert C. J. Luo. - Cham :Springer Nature Switzerland :2024. - x, 232 p. :ill. (some col.), digital ;24 cm.

Crossing and Product cubic Systems -- Double-inflection Saddles and Parabola-saddles -- Three Parabola-saddle Series and Switching Dynamics -- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers -- Equilibrium Networks and Switching with Hyperbolic Flows.

This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: double-inflection saddles, inflection-source (sink) flows, parabola-saddles (saddle-center), third-order parabola-saddles, third-order saddles (centers), third-order saddle-source (sink). Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.

ISBN: 9783031570964

Standard No.: 10.1007/978-3-031-57096-4doiSubjects--Topical Terms:

686475
Nonlinear systems.

LC Class. No.: QA402 / .L86 2024

Dewey Class. No.: 515.252

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520 $a This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: double-inflection saddles, inflection-source (sink) flows, parabola-saddles (saddle-center), third-order parabola-saddles, third-order saddles (centers), third-order saddle-source (sink). Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.
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