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      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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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