Analytic normalization of analytically integrable differential systems near a periodic orbit

作者：Wu, Kesheng; Zhang, Xiang^*

来源：Journal of Differential Equations, 2014, 256(11): 3552-3567.

DOI：10.1016/j.jde.2014.02.008

• Analytic differential systems
• Analytically integrable
• Period orbit
• Normal form
• Analytic normalization

For an analytic differential system in R-n with a periodic orbit, we will prove that if the system is analytically integrable around the periodic orbit, i.e. it has n - 1 functionally independent analytic first integrals defined in a neighborhood of the periodic orbit, then the system is analytically equivalent to its Poincare-Dulac type normal form. This result is an extension of analytically integrable differential systems around a singularity to the ones around a periodic orbit.

• 出版日期2014-6-1
• 单位上海交通大学