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Two-Dimensional Crossing and Product Cubic Systems, Vol. I: Self-Linear and Crossing-Quadratic Product Vector Field
Paperback
Technology & EngineeringGeneral MathematicsGeneral Science
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ISBN13: 9783031595844
Publisher: Springer
Published: Jan 30 2026
Pages: 239
Language: English
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.
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