Vector field decomposition and first integrals with applications to non-linear systems
M.Sc. === Roels [1] showed that on a two dimensional symplectic manifold, an arbitrary vector field can be locally decomposed into the sum of a gradient vector field and a Hamilton vector field. The Roels decomposition was extended to be applicable to compact even dimensional manifolds by Mendes and...
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2012
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| Online Access: | http://hdl.handle.net/10210/6258 |