Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III

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The book explores a comprehensive theory of self-independent cubic nonlinear systems, detailing various configurations of vector fields, including self-cubic, constant, self-linear, and self-quadratic types. It examines the dynamical systems' behavior, highlighting the presence of one-dimensional flows such as sources, sinks, and saddles, as well as more complex third-order flows. Additionally, it discusses the formation of homoclinic orbits and networks related to these flows, providing a deep insight into the dynamics and equilibria of these systems.