Rangarajan, Govindan ; Sachidanand, Minita (2002) Invariant metric for nonlinear symplectic maps Pramana - Journal of Physics, 58 (3). pp. 477-488. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/pramana/v58/p477/fulltext.pdf
Related URL: http://dx.doi.org/10.1007/s12043-002-0058-8
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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Invariant Metric; Symplectic Maps; Performance Optimization |
| ID Code: | 73212 |
| Deposited On: | 02 Dec 2011 09:47 |
| Last Modified: | 18 May 2016 18:08 |
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