• Time dependent canonical perturbation theory III: Application to a system with nonconstant unperturbed frequencies

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/046/05/0323-0329

    • Keywords

       

      Canonical perturbation; Hamiltonian systems; KAM

    • Abstract

       

      In this communication, we report the results of the application of time dependent perturbation theory to a non-integrable Hamiltonian which is a perturbation on a Hamiltonian with nonconstant frequencies. The theory provides good time dependent local constants of motion and also gives good approximation for mapping of solutions for a time limit determined by the nearest singularity in complexε plane for fixed real time and the order of calculation.

    • Author Affiliations

       

      Mitaxi P Mehta1 B R Sitaram1

      1. Physical Research Laboratory, Navrangpura, Ahmedabad - 380 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.