Equilibrium Matrices with Hyperbolic Flows

In this chapter, equilibrium matrices of saddle, center, saddle, source, and sink with hyperbolic flows are discussed, and the corresponding switching bifurcations are discussed. The inflection source (sink) infinite equilibriums exist in the vertical and horizontal directions. The parabola saddles are for a hyperbolic secant flow with a paralleled saddle and for a hyperbolic secant flow with a paralleled center. The inflection sources (sinks) are for a hyperbolic secant flow with a connected source (sink) and for a hyperbolic flow with a connected saddle.