1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 58
    5. Issue 3

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/058/03/0477-0488

    • Keywords

       

      Invariant metric; symplectic maps; performance optimization

    • Abstract

       

      In this paper, we construct an invariant metric in the space of homogeneous polynomials of a given degree (≥3). The homogeneous polynomials specify a nonlinear symplectic map which in turn represents a Hamiltonian system. By minimizing the norm constructed out of this metric as a function of system parameters, we demonstrate that the performance of a nonlinear Hamiltonian system is enhanced.

    • Author Affiliations

       

      Govindan Rangarajan1 Minita Sachidanand2

      1. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
      2. Centre for Theoretical Studies, Indian Institute of Science, Bangalore, India

    • Dates

       
      Published
      March 2002
      Manuscript received
      6 June 2001

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index