Two-Dimensional Self and Product Cubic Systems, Vol. I : Crossing-Linear and Self-quadratic Product Vector Field
Two-Dimensional Self and Product Cubic Systems, Vol. I : Crossing-Linear and Self-quadratic Product Vector Field
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Author(s): Luo, Albert C. J.
ISBN No.: 9783031570957
Pages: x, 232
Year: 202411
Format: Trade Cloth (Hard Cover)
Price: $ 242.59
Dispatch delay: Dispatched between 7 to 15 days
Status: Available

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). Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.


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