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1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems

1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems

Albert C. J. Luo

261,27 €
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Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2025
Materia
Cálculo y análisis matemático
ISBN:
9789819722037
261,27 €
IVA incluido
Disponible
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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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