In this chapter, three parabola-saddle series with a paralleled inflection-source (sink) flow in the crossing and product cubic systems are discussed, and the corresponding switching bifurcations are presented through the infinite equilibriums. Parabola saddles are the appearing and switching bifurcations of saddle and center. The inflection-source (sink) flows are the appearing bifurcation of connected hyperbolic and hyperbolic-secant flows. The inflection-source (sink) infinite equilibriums are the switching bifurcations of a parabola saddle with a paralleled inflection-source (sink) flow.

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Three Parabola-Saddle Series and Switching Dynamics

  • Albert C. J. Luo

摘要

In this chapter, three parabola-saddle series with a paralleled inflection-source (sink) flow in the crossing and product cubic systems are discussed, and the corresponding switching bifurcations are presented through the infinite equilibriums. Parabola saddles are the appearing and switching bifurcations of saddle and center. The inflection-source (sink) flows are the appearing bifurcation of connected hyperbolic and hyperbolic-secant flows. The inflection-source (sink) infinite equilibriums are the switching bifurcations of a parabola saddle with a paralleled inflection-source (sink) flow.