Proceedings of the American Mathematical Society, Vol. 127, No. 4 (Apr., 1999), pp. 993-1002 (10 pages) A topological invariant, the community transition graph, is introduced for dissipative vector ...
The Poincare-Dulac-Birkhoff normal form theorem determines how much a vector field can be simplified, depending uniquely on its linear part. Nevertheless, taking into account the nonlinear terms, it ...
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