In this chapter, the appearing and switching bifurcations are discussed for the homoclinic networks of non-singular and singular sources, sinks, saddles with singular saddle-sources, saddle-sinks, and double-saddles in self-univariate polynomial systems.

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Bifurcations for Homoclinic Networks Without Centers

  • Albert C. J. Luo

摘要

In this chapter, the appearing and switching bifurcations are discussed for the homoclinic networks of non-singular and singular sources, sinks, saddles with singular saddle-sources, saddle-sinks, and double-saddles in self-univariate polynomial systems.