## A note on the periodic orbits of a kind of Duffing equations.(English)Zbl 1417.34095

Summary: We study the periodic orbits of the modified Duffing differential equation $$\ddot{y} + ay - \varepsilon y^3 = \varepsilon h(y, \dot{y})$$ with $$a > 0, \varepsilon$$ a small parameter and $$h$$ a $$C^2$$ function in its variables.

### MSC:

 34C25 Periodic solutions to ordinary differential equations 34C29 Averaging method for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems
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### References:

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