By Albert C. J. Luo
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).
Product Details
Publisher : Springer
Publication date : November 16, 2024
Edition : 2024th
Language : English
ISBN-10 : 3031570952
ISBN-13 : 978-3031570957
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