1-Dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems

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Focusing on the dynamics of planar polynomial systems, the book explores 1-dimensional flow arrays, including source, sink, and saddle flows, as well as parabola and inflection flows. It delves into bifurcations, highlighting singular flows and their transitions in various flow arrays. The discussion extends to infinite-equilibriums in single-variable polynomial systems, linking them to hybrid arrays of flows. This comprehensive examination aids readers in grasping the complexities of global dynamics and the Hilbert sixteen problem.