Rao, Shodhan and Rapisarda, Paolo
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.
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.
Conference or Workshop Item
||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
||linear oscillatory systems, two-variable polynomial matrices, quadratic differential forms, trivially zero-mean quantities, intrinsically zero-mean quantities, conserved quantities, generalized Lagrangian.
||Southampton Wireless Group
||20 Sep 2007
||17 Apr 2017 19:34
|Further Information:||Google Scholar|
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