Abstract
The results in this paper fit into a program to study the existenceof periodic orbits, invariant cylinders and tori filled with periodicorbits in perturbed reversible systems. Here we focus on bifurcationsof one-parameter families of periodic orbits for reversible vectorfields in $\mathbb{R}^4$. The main used tools are normal forms theory,Lyapunov-Schmidt method and averaging theory.
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