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

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; 2024th edition (November 16, 2024)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 242 pages
ISBN-10 ‏ : ‎ 3031570952
ISBN-13 ‏ : ‎ 978-3031570957