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Two-dimensional Product-Cubic Systems, Vol. IV

Crossing-quadratic Vector Fields

Albert C. J. Luo

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Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink).  The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:

  • Parabola-source (sink) infinite-equilibriums,
  • Inflection-source (sink) infinite-equilibriums,
  • Hyperbolic (circular) sink-to source infinite-equilibriums,
  • Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.

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Schlagwörter

Logarithmic and concave sinks and sources, Crossing-quadratic and self-cubic systems, Third-order sink and source flows and saddle flows, Switching bifurcations, Infinite-equilibriums, Inflection sinks, sources and saddles, Parabola sinks, sources and saddles, Appearing bifurcations, Up-down and down-up saddles, Third-order parabola flows and inflection flows, Constant and self-cubic systems, Crossing-Quadratic Vector Fields, Crossing-linear and self-cubic systems, Two single-variable cubic systems