Rao, Shodhan and Rapisarda, Paolo
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.
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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