Autor:	Gaeta, Giuseppe
Rok vydání:	2018
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	in: Nonlinear Systems and Their Remarkable Mathematical Structures: Volume I (ed. by N. Euler), CRC Press 2018
Druh dokumentu:	Working Paper
Popis:	We discuss several aspects of the geometry of vector fields in (Poincare'-Dulac) normal form. Our discussion relies substantially on Michel theory and aims at a constructive approach to simplify the analysis of normal forms via a splitting based on the action of certain groups. The case, common in Physics, of systems enjoying an a priori symmetry is also discussed in some detail. Comment: 35 pages; to appear in a collective book
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.06360 Zobrazit plný text záznamu View this record from Arxiv