# American Institute of Mathematical Sciences

March  2016, 36(3): 1677-1692. doi: 10.3934/dcds.2016.36.1677

## On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems

 1 Faculty of mathematics and physics, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, China 2 Department of Mathematics, Southeast University, Nanjing 210096

Received  October 2014 Revised  June 2015 Published  August 2015

This work focuses on the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. By KAM method and the special structure of unperturbed nonlinear terms, we prove that the invariant torus with given frequency persists under small perturbations. Our result is a generalization of [22].
Citation: Xiaocai Wang, Junxiang Xu, Dongfeng Zhang. On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Discrete & Continuous Dynamical Systems - A, 2016, 36 (3) : 1677-1692. doi: 10.3934/dcds.2016.36.1677
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##### References:
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