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Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems

Record type: Conference or Workshop Item (Paper)

We study the structure and properties of the set of intrinsically zero-mean quadratic quantities for linear oscillatory systems, i.e. quantities having a zero asymptotic average only on such a behavior. We generalize the principle of least action to oscillatory systems described by higher order equations, and show that intrinsically zero-mean quadratic quantities can be interpreted as generalized Lagrangians. We extend this analysis to the multivariable case and illustrate a method of generation of basis of conserved quantities.

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Citation

Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems At 17th International Symposium on Mathematical Theory of Networks and Systems, Japan. 24 - 28 Jul 2006.

More information

Published date: 2006
Additional Information: Event Dates: July 24-28, 2006
Venue - Dates: 17th International Symposium on Mathematical Theory of Networks and Systems, Japan, 2006-07-24 - 2006-07-28
Keywords: linear oscillatory systems, two-variable polynomial matrices, quadratic differential forms, trivially zero-mean quantities, intrinsically zero-mean quantities, conserved quantities, generalized Lagrangian.
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264544
URI: http://eprints.soton.ac.uk/id/eprint/264544
PURE UUID: f6868779-6a25-4eef-bd03-b25f016eb47b

Catalogue record

Date deposited: 20 Sep 2007
Last modified: 18 Jul 2017 07:34

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Contributors

Author: Shodhan Rao
Author: Paolo Rapisarda

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