Abstract
In this paper, the global dynamics of memristor oscillators are investigated. For the sake of analysis, we first reformulate the original system into a simple form, which has only three parameters, and analyze its dynamics according to the variation of the parameters. By discussing the qualitative properties of equilibria (including equilibria at infinity) and exploring the sufficiently and necessarily condition for existence of limit cycles and heteroclinic loops, we finally exhibit 36 different global phase portraits on the Poincaré disc for memristor oscillators.
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