C^1 Integrability via periodic orbits
时间  Datetime
2023-09-21 10:15 — 11:30
地点  Venue
会议室(703)
报告人  Speaker
Jaume Llibre
单位  Affiliation
Universitat Autonoma de Barcelona
邀请人  Host
肖冬梅、张祥
备注  remarks
报告摘要  Abstract

Kovalevskaya's idea and consequently Ziglin's and Morales-Ramis' theory go back to Poincare, who used the multipliers of the monodromy group of the variational equations associated to periodic orbits for studying the non integrability of autonomous differential systems. The main difficulty for applying Poincare's non integrability method to a given autonomous differential system is to find for such an equation periodic orbits having multipliers different from 1.


We shall apply Poincare's results for studying the C^1 integrability of the Lorenz system, the Rossler system, the Michelson system, the Henon--Heiles Hamiltonian system and the Yang-Mills Hamiltonian system.
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