In this chapter, dynamical systems with single-linear-bivariate linear and quadratic vector fields will be considered. Parabola-source and sink infinite-equilibriums for the switching of inflection and parabola flows will be discussed, and the inflection-source and sink infinite-equilibriums for parabola flows in two directions will be discussed. The inflection flows are for the appearing bifurcation of up- and down-parabola flows. The parabola flow arrays exist in such quadratic systems.

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Single-Linear-Bivariate, Linear and Quadratic Systems

  • Albert C. J. Luo

摘要

In this chapter, dynamical systems with single-linear-bivariate linear and quadratic vector fields will be considered. Parabola-source and sink infinite-equilibriums for the switching of inflection and parabola flows will be discussed, and the inflection-source and sink infinite-equilibriums for parabola flows in two directions will be discussed. The inflection flows are for the appearing bifurcation of up- and down-parabola flows. The parabola flow arrays exist in such quadratic systems.