Two-dimensional Crossing and Product Cubic Systems, Vol. I Self-linear and Crossing-quadratic Product Vector Field
Author(s): Albert C. J. Luo
Publisher: Springer
ISBN: 9783031595813
Edition:
$39,99
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Description
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 and centers.
