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Focusing on product-cubic nonlinear systems, this volume delves into the dynamics of two crossing-linear and self-quadratic product vector fields. It explores equilibrium and flow singularities, emphasizing bifurcations, including appearing and switching types. The text details double-saddle equilibria related to saddle source and saddle-sink bifurcations, along with a network of saddles. Additionally, it presents infinite-equilibriums associated with switching bifurcations, offering insights into complex dynamic behaviors and their implications.
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Two-dimensional Two-product Cubic Systems Vol. X, Albert C. J. Luo
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- 2024
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