This paper deals with the “modified van der Pol differential equations” q¨ − (sgn q˙) (δ/2)q˙2 h(q) + κ2f(q) = 0, where h(q) and f(q) are suitable functions. It is shown that there exists a unique limit cycle. For the limit amplitude both lower and upper bounds are established in the case of unrestricted values δ. For small values δ the limit amplitude can be calculated immediately.

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