Lower-dimensional invariant tori for a class of degenerate reversible systems under small perturbations
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- by Xiaomei Yang and Junxiang Xu;
- Proc. Amer. Math. Soc. 153 (2025), 259-267
- DOI: https://doi.org/10.1090/proc/17051
- Published electronically: November 12, 2024
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Abstract:
This paper considers a class of degenerate reversible systems. By the method of introducing a modified term and some KAM techniques, we prove the persistence of lower-dimensional invariant tori with prescribed frequencies.References
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Bibliographic Information
- Xiaomei Yang
- Affiliation: College of Science, Jinling Institute of Technology, Nanjing 211169, People’s Republic of China
- ORCID: 0000-0003-4810-3087
- Email: yangxm1117@163.com
- Junxiang Xu
- Affiliation: School of Mathematics, Southeast University, Nanjing 210096, People’s Republic of China
- MR Author ID: 609498
- ORCID: 0000-0002-2157-8560
- Email: xujun@seu.edu.cn
- Received by editor(s): February 12, 2024
- Received by editor(s) in revised form: July 24, 2024
- Published electronically: November 12, 2024
- Additional Notes: The work was supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (23KJB110010), China Postdoctoral Science Foundation (2023M741636) and the PhD research startup foundation of Jinling Institute Technology (jit-b-202163).
The first author is the corresponding author. - Communicated by: Wenxian Shen
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 153 (2025), 259-267
- MSC (2020): Primary 37J40, 37J25
- DOI: https://doi.org/10.1090/proc/17051
- MathSciNet review: 4840274