Invariant metric for nonlinear symplectic maps
Govindan Rangarajan Minita Sachidanand
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/058/03/0477-0488
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
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.