Two-dimensional Crossing and Product Cubic Systems, Vol. I
Self-linear and Crossing-quadratic Product Vector Field| By: | Albert C. J. Luo |
| Publisher: | Springer Nature |
| Print ISBN: | 9783031595813 |
| eText ISBN: | 9783031595820 |
| Edition: | 0 |
| Copyright: | 2025 |
| Format: | Reflowable |
Expires on Sep 17, 2026
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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.