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Two-dimensional Crossing and Product Cubic Systems, Vol. I

Self-linear and Crossing-quadratic Product Vector Field

Albert C. J. Luo

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ca. 171,19

Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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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Schlagwörter

Self and product cubic systems, Self-cubic vector field, Third-order saddle, source and sink appearing bifurcations, Self-linear and crossing-quadratic product vector field, Inflection-source (sink) flow appearing bifurcations