Two-Dimensional Crossing and Product Cubic Systems, Vol. I: Self-Linear and Crossing-Quadratic Product Vector Field

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 and centers.

• Format: Hardcover
• Language: English
• ISBN: 3031595815
• ISBN13: 9783031595813
• Release Date: January 2025
• Publisher: Springer
• Length: 239 Pages
• Weight: 1.26 lbs.
• Dimensions: 0.7" x 6.5" x 9.3"