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

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    • 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

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