In this chapter, equilibrium networks with hyperbolic flows and the corresponding switching dynamics in crossing and product cubic systems are presented. The inflection-source (sink) infinite equilibriums are for the switching bifurcations of center and saddle with hyperbolic and hyperbolic-secant flows. The parabola-saddles on the inflection-source and sink infinite equilibriums are the switching bifurcations of center with hyperbolic flow and saddle with hyperbolic-secant flows.

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Equilibrium Networks and Switching with Hyperbolic Flows

  • Albert C. J. Luo

摘要

In this chapter, equilibrium networks with hyperbolic flows and the corresponding switching dynamics in crossing and product cubic systems are presented. The inflection-source (sink) infinite equilibriums are for the switching bifurcations of center and saddle with hyperbolic and hyperbolic-secant flows. The parabola-saddles on the inflection-source and sink infinite equilibriums are the switching bifurcations of center with hyperbolic flow and saddle with hyperbolic-secant flows.