## Limit cycles for a class of second order differential equations

- Jaume Llibre, Perez-Chavela Ernesto
- 2015

@inproceedings{Xiong2007UnboundedSA, title={Unbounded Solutions and Periodic Solutions for Second Order Differential Equations with Asymmetric Nonlinearity}, author={Li Xiong and Ziheng Zhang}, year={2007} }

- Published 2007

In this paper we will prove the coexistence of unbounded solutions and periodic solutions for the asymmetric oscillator ẍ + f(ẋ) + ax − bx− = φ(t, x), where a and b are positive constants satisfying the nonresonant condition 1 √ a + 1 √ b / ∈ Q and φ(t, x) is 2π−periodic in the first variable and bounded.

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