• Anglický jazyk

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

Autor: Albert C. J. Luo

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... Viac o knihe

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O knihe

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.

  • Vydavateľstvo: Springer Nature Switzerland
  • Rok vydania: 2024
  • Formát: Hardback
  • Rozmer: 241 x 160 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9783031570957

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