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Two-dimensional Self and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field
by: Albert C. J. Luo (Author)
Publisher: Springer
Edition: 2024th
Publication Date: 2024-11-16
Language: English
Print Length: 242 pages
ISBN-10: 3031570952
ISBN-13: 9783031570957
Book Description
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).
Editorial Reviews
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).
