Poincare '-Dulac规范形的维数增长与分裂
Dimension increase and splitting for Poincare'-Dulac normal forms
摘要：
非线性动力系统的积分通常被视为与对称性约化相关联，例如通过动量映射。在Lax可积系统中，正如Kazhdan、Kostant和Sternberg在讨论Calogero系统时所指出的那样，人们以相反的方式进行，将非线性系统扩大到更大维数的系统。我们讨论如何这种方法也是富有成效的研究非可积系统，专注于系统的正常形式。
英文摘要：
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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