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

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


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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.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: July 24-28, 2006
Keywords: linear oscillatory systems, two-variable polynomial matrices, quadratic differential forms, trivially zero-mean quantities, intrinsically zero-mean quantities, conserved quantities, generalized Lagrangian.
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 264544
Accepted Date and Publication Date:
Date Deposited: 20 Sep 2007
Last Modified: 31 Mar 2016 14:09
Further Information:Google Scholar

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