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Two-dimensional Self And Product Cubic Systems, Vol. I - ENG

Self-linear And Crossing-quadratic Product Vector Field
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ISBN: 9783031570964
Formato: ePub
Idioma: Inglés
Editorial: Springer Nature
Tema: Matemáticas
Subtema: Álgebra abstracta
Año de publicación: 2024-11-15

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:  double-inflection saddles,   inflection-source (sink) flows,  parabola-saddles (saddle-center),  third-order parabola-saddles,   third-order saddles (centers),  third-order saddle-source (sink).      

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