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

Self-linear and Crossing-quadratic Product Vector Field

Albert C. J. Luo

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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 (centers),
  •  third-order saddle-source (sink).

 

 

 

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Schlagwörter

parabola-saddle infinite-equilibriums, Hybrid series of singular equilibriums and flows, Third-order saddles (centers) appearing bifurcations, inflection-source (sink) infinite-equilibrium, parabola-source (sink) infinite-equilibriums, Third-order saddle-source (sink) appearing bifurcations, Crossing-cubic vector field, Third-order parabola-saddles appearing bifurcations, Self-linear and crossing-quadratic product vector field, Double-inflection saddles appearing bifurcations, Parabola-saddles (saddle-center) appearing bifurcations, Crossing and product cubic systems, Inflection-source (sink) flows appearing bifurcations