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Invariant critical sets of conserved quantities

Petre Birtea and Dan Comănescu

Chaos, Solitons & Fractals, 2011, vol. 44, issue 9, 693-701

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:9:p:693-701

DOI: 10.1016/j.chaos.2011.06.009

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