Dimension increase and splitting for Poincare'-Dulac normal forms

Details Dimension increase and splitting for Poincare'-Dulac normal forms Dimension increase and splitting for Poincare'-Dulac normal forms

2005-01-22

arxiv.org/abs/math-ph/0501060v1

J. Nonlin. Math. Phys. 12 (2005), S1 327-342

Physics

Mathematical Physics

16 pages

Scientific paper

Integration of nonlinear dynamical systems is usually seen as associated to a symmetry reduction, e.g. via momentum map. In Lax integrable systems, as pointed out by Kazhdan, Kostant and Sternberg in discussing the Calogero system, one proceeds in the opposite way, enlarging the nonlinear system to a system of greater dimension. We discuss how this approach is also fruitful in studying non integrable systems, focusing on systems in normal form.

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