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Construction of quasi-periodic solutions for delayed perturbation differential equations

Dynamical Systems 2018-12-17 v1

Abstract

We employ the Craig-Wayne-Bourgain method to construct quasi-periodic solutions for delayed perturbation differential equations. Our results not only implement the existing literatures on constructing quasi-periodic solutions for DDE by the KAM method and space splitting technique, but also provide an example of application of multi-scale analysis method to non-selfadjoint problem.

Keywords

Cite

@article{arxiv.1812.05969,
  title  = {Construction of quasi-periodic solutions for delayed perturbation differential equations},
  author = {Xiaolong He and Xiaoping Yuan},
  journal= {arXiv preprint arXiv:1812.05969},
  year   = {2018}
}

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28 pages