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arXiv · 1105.4054

Invariant critical sets of conserved quantities

Petre Birtea·Dan Comănescu
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Abstract

For a dynamical system we will construct various invariant sets starting from its conserved quantities. We will give conditions under which certain solutions of a nonlinear system are also solutions for a simpler dynamical system, for example when they are solutions for a linear dynamical system. We will apply these results to the example of Toda lattice.

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Petre Birtea, Dan Comănescu. 2011-05-20. Invariant critical sets of conserved quantities. https://doi.org/10.1016/j.chaos.2011.06.009

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