Abstract
This paper is concerned with the existence of quasi-periodic response solutions for a class of reversible forced harmonic oscillators with two basic frequencies ω=(1,α), α is an irrational number. Since we do not impose usual Diophantine or Brjuno conditions on ω, it can also be Liouvillean. The proof is based on a modified KAM (Kolmogorov–Arnold–Moser) theorem for reversible systems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.