Rangarajan, Govindan and Sachidanand, Minita (2002) Invariant metric for nonlinear symplectic maps. In: Pramana Journal of Physics, 58 (3). pp. 477-488.
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Abstract
In this paper, we construct an invariant metric in the space of homogeneous polynomials of a given degree ( greater than or equal to 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.
Item Type: | Journal Article |
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Publication: | Pramana Journal of Physics |
Publisher: | Indian Academy Sciences |
Additional Information: | Copyright for this article belongs to Indian Academy of Sciences. |
Keywords: | Invariant metric;symplectic maps;performance optimization |
Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 22 Sep 2004 |
Last Modified: | 19 Sep 2010 04:16 |
URI: | http://eprints.iisc.ac.in/id/eprint/2015 |
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