Invariant critical sets of conserved quantities

Details Invariant critical sets of conserved quantities Invariant critical sets of conserved quantities

2011-05-20

arxiv.org/abs/1105.4054v1

Mathematics

Dynamical Systems

Scientific paper

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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