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Two-dimensional Crossing and Product Cubic Systems, Vol. I


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Two-dimensional Crossing and Product Cubic Systems, Vol. I:
Self-linear and Crossing-quadratic Product Vector Field

English | 2025 | ISBN: 3031570952 | 316 Pages | PDF EPUB (True) | 48 MB

This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:

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