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Two-dimensional Two Product Cubic Systems, Vol. III

Self-linear and Crossing Quadratic Product Vector Fields

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Focusing on advanced mathematical concepts, this volume delves into self-linear and crossing-quadratic product systems within Cubic Systems. It explores key phenomena such as equilibrium and flow singularities, bifurcations, and the dynamics of double-inflection saddles. The text highlights the relationships between saddle and center dynamics, as well as the intricate networks of higher-order equilibriums and flows. Additionally, it addresses the complexities of network switching and the emergence of infinite-equilibriums, providing a comprehensive analysis of these mathematical structures.

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Two-dimensional Two Product Cubic Systems, Vol. III, Albert C. J. Luo

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2024
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