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Focusing on cubic nonlinear systems, this monograph delves into the intricacies of single-variable vector fields, particularly those with crossing variables. It explores 1-dimensional flow singularities and bifurcations, presenting novel insights into the switching bifurcations within 2-dimensional cubic systems. The text details third-order parabola flows and saddle flows, highlighting the significance of infinite equilibria and various flow types, including inflection flows and saddle flows, in understanding the dynamics of these systems.
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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II, Albert C. J. Luo
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- 2024
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