ABSTRACT
In this paper we prove the persistence of lower dimensional invariant tori for a class of reversible systems without any non-degeneracy condition. In the proof, we use the special nature that the dimension of the frequency ω is 2 and the modified KAM iteration to prove the persistence of lower dimensional hyperbolic invariant tori, but the frequency has some small shifts from small perturbations.
Acknowledgments
We would like to thank the referees for their valuable comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.