Periodic orbits in the case of a zero eigenvalue

2007/05/16 by Birtea, Petre, Puta, Mircea, Tudoran, Razvan Micu
#37C27 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0705.2361

Abstract

We will show that if a dynamical system has enough constants of motion then a Moser-Weinstein type theorem can be applied for proving the existence of periodic orbits in the case when the linearized system is degenerate.

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