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
|Date Deposited:||20 Sep 2007|
|Last Modified:||31 Mar 2016 14:09|
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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