1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems

Name: 1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems
Brand: Springer Verlag, Singapore
Price: 556.4 AUD
Availability: PreOrder

By: Albert C. J. Luo

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Hardcover | 22 July 2024

At a Glance

Hardcover
361 Pages

Dimensions(cm)
23.5 x 15.5

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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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