1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems
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Product details:
- Edition number 2024
- Publisher Springer
- Date of Publication 14 December 2024
- Number of Volumes 1 pieces, Book
- ISBN 9789819722037
- Binding Hardback
- No. of pages377 pages
- Size 235x155 mm
- Language English
- Illustrations 1 Illustrations, black & white; 48 Illustrations, color 670
Categories
Short description:
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.
MoreLong description:
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.
MoreTable of Contents:
Constant and Self variable Polynomial Systems.- Constant and Crossing variable Polynomial Systems.- Single univariate Polynomial Systems.- Higher order Infinite equilibrium Bifurcations.
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