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1-dimensional flow arrays and bifurcations in planar polynomial systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	1-dimensional flow arrays and bifurcations in planar polynomial systems/ by Albert C. J. Luo.
作者:	Luo, Albert C. J.
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	vii, 377 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Polynomials. -
電子資源:	https://doi.org/10.1007/978-981-97-2204-4
ISBN:	9789819722044

1-dimensional flow arrays and bifurcations in planar polynomial systems
Luo, Albert C. J.

1-dimensional flow arrays and bifurcations in planar polynomial systems[electronic resource] /by Albert C. J. Luo. - Singapore :Springer Nature Singapore :2024. - vii, 377 p. :ill., digital ;24 cm.

Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem.

ISBN: 9789819722044

Standard No.: 10.1007/978-981-97-2204-4doiSubjects--Topical Terms:

528565
Polynomials.

LC Class. No.: QA161.P59 / L86 2024

Dewey Class. No.: 512.9422

1-dimensional flow arrays and bifurcations in planar polynomial systems
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520 $a This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink and saddle flows are the appearing and switching bifurcations for simple sink and source flow arrays and for lower-order singular source, sink and saddle flow arrays. The singular parabola and inflection flows are the appearing and switching bifurcations for simple parabola arrays and also for lower-order singular parabola and inflection flow arrays. The infinite-equilibriums in single-variable polynomial systems are also discussed, which are the appearing and switching bifurcations of hybrid arrays of source, sink, and saddle flows with parabola and inflections. This book helps readers understand the global dynamics of planar polynomial systems and the Hilbert sixteen problem.
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