Click here to view fulltext PDF

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

Invariant metric; symplectic maps; performance optimization

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.

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

Published

March 2002

Manuscript received

6 June 2001