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On the birth of minimal sets for perturbed reversible vector fields

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  • The results in this paper fit into a program to study the existence of periodic orbits, invariant cylinders and tori filled with periodic orbits in perturbed reversible systems. Here we focus on bifurcations of one-parameter families of periodic orbits for reversible vector fields in $\mathbb{R}^4$. The main used tools are normal forms theory, Lyapunov-Schmidt method and averaging theory.
    Mathematics Subject Classification: Primary: 34C29, 34C25; Secondary: 47H11.


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